MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen

MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen

Hydrogen Important Questions

Hydrogen Very Short Answer Type Questions

Question 1.
In which compound the oxidation state of hydrogen is negative?
Answer:
CaH2.

Question 2.
The bleaching property of H2O2 is due to oxidation or reduction?
Answer:
H2O2 easily gives oxygen therefore, it is used as bleaching agent. This is due to oxidation property it is used in bleaching.
H2O2 → H2O + [O].

Question 3.
Who discovered hydrogen?
Answer:
Henry Cavendish.

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Question 4.
What is used as moderator in atomic reactors?
Answer:
Heavy water (D2O).

Question 5.
H2O2 reduces Cl2 in which compound?
Answer:
In HCl.

Question 6.
The bleaching property of H2O2 depends upon?
Answer:
Oxidation.

Question 7.
Which oxide forms H2O2 with dii. HCI?
Answer:
Na2O2 and BaC2.

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Question 8.
Why the vapourisation of ethanol takes place faster than water?
Answer:
Due to weak hydrogen bonding.

Question 9.
Which type of compounds formed lattice carbides?
Answer:
d and f – block elements.

Question 10.
What is the use of lattice hydrides?
Answer:
For storage of H2 and to catalyze the hydrogenation reaction.

Question 11.
Which acts as propellant in rockets?
Answer:
H2O2 (Hydrogen peroxide).

Question 12.
What is known as the absorbtion of hydrogen by palladium?
Answer:
Absorption.

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Question 13.
Which chemical compound is called calgon?
Answer:
Sodium hexa metaphosphate.

Question 14.
What is main difference between ortho and meta hydrogen?
Answer:
Nuclear Spin.

Question 15.
What is prepared by the combustion of kerosene?
Answer:
Oil gas.

Question 16.
What is used as trace to study the processes occuring in organisms?
Answer:
Heavy water.

Question 17.
What is the radioactive isotope of hydrogen?
Answer:
Tritium.

Question 18.
What is formed by the reaction of calcium phosphate with water?
Answer:
Phosphene.

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Question 19.
What is the bond angle in H – O – O in H2O2?
Answer:
97°.

Question 20.
Which hydrides are not in simple proportion?
Answer:
Interfacial hydrides.

Hydrogen Short Answer Type Questions – I

Question 1.
What is the reason for the temporary and permanent hardness of water? Explain?
Answer:
The temporary hardness of water is due to calcium and magnesium carbonate and the permanent hardness is due to presence of calcium chloride, magnesium chloride, calcium sulphate and magnesium sulphate.

Question 2.
Write an expression to show the amphoteric nature of water?
Answer:
Water has amphoteric nature. It behaves both as acid and base. With strong acid it behaves as base and with strong bases it behaves as acid.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 1

Question 3.
How the impure hydrogen is purified?
Answer:
When hydrogen gas is passed on platinum black or palladium metal, the hydrogen gas is adsorbed this is called adsorption. The impure hydrogen gets purified.

Question 4.
Write the disadvantages of hard water?
Answer:

  1. Hard water cannot be used in laboratory and for injection in medical.
  2. Much quantity of soap is wasted if clothes are cleaned with hard water due to the formation of insoluble calcium and magnesium soap.
  3. Hard water is unuseful in dyeing and printing.
  4. Cooking with hard water take longer time and spoil the taste and quality of food.

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Question 5.
Explain the Lane’s method to prepare hydrogen?
Answer:
By passing alternate currents of steam and water gas over red hot iron. The oxidation and reduction processes are alternatively carried out.

Oxidizing stage:
Superheated steam is passed over red hot iron at about 1023 K and 1073K, hydrogen gas is produced and magnetic oxides of iron (Fe3O4) is left.
3Fe + 4H2O → Fe3O4 + 4H2↑.

Question 6.
Write the method of removal of permanent as well as temporary hardness of water?
Answer:
By adding washing soda (Na2C03) when permanent hard water is treated with calculated quantity of sodium carbonate solution calcium and magnesium salts present in water get precipitated as insoluble carbonate. Soft water is then decanted off.
CaCl2 + Na2CO3 → CaCO3 + 2NaCl
MgSO4 + Na2CO3 → MgCO3 + Na2SO4
MgCl2 + Na2CO3 → MgCO3 + 2NaCl
CaS04 + Na2CO3 → Na2SO4 + CaCO3.

Question 7.
How the strength of H2O2 is expressed?
Answer:
Strength of Hydrogen Peroxide Solution:
The strength of hydrogen peroxide solution is expressed in terms of the volume of oxygen obtained from it. For example, 10 volume, 20 volume etc. (MPBoardSolutions.com) The strength is equal to the volume of oxygen produced at NTP which is obtained by heating one unit of that solution. The ‘10 volume’ solution of hydrogen peroxide will give 10 ml oxygen at NTP when 1 ml of the sample is heated.

Question 8.
Write the uses of hydrogen?
Answer:
Uses of hydrogen:

  1. As a reducing agent.
  2. On account of its lighter nature, it was previously used in filling of balloons and aeroplanes but due to its combustible nature, a mixture of inert gas helium (85%) and hydrogen (15%) is used now.
  3. In the manufacture of methyl alcohol, ammonia, synthetic petrol and fertilizers.
  4. For preparing vegetable ghee: Hydrogenation of vegetable oil gives vegetable ghee.
  5. Oxyhydrogen flame: Hygrogen produces high temperature when bums with oxygen which is used for welding and cutting purposes.
  6. Hydrogen is used as a rocket propellent.

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Question 9.
What is the difference between the terms “hydrolysis” and “hydration”?
Answer:
Hydrolysis:
Hydrolysis is the interaction of H+ and OH ions of water with the anion and cation of salt respectively to form acid and base.
Example:
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 2

Hydration:
Hydration is the interaction of water with the salts to form co – ordinated or hydrated ions or hydrated salts.
Example:
1. Water molecules are co-ordinated to metal ion in a complex.
[Cr(H2O)6]Cl3.

2. Water occupying interstitial sites in the crystal lattice.
BaCl2.2H2O.

Question 10.
What is oil gas? How it is prepared?
Answer:
Coal gas is a mixture of many gases. When a thin layer of kerosene is dropped on red hot retort, then big molecules break and converts into methane, ethylene, acetylene. It is used in burners.

Question 11.
What is coal gas? Write its constituent?
Answer:
Coal gas is mixture of many gases where hydrogen gas is main element.
H2 = 43.55%, N2 = 2.12%, CH4 = 25.35%, CO2 = 0.3%, CO = 4.11%, O2 = 0 – 1.5%.

Question 12.
When sodium reacts with water, which gas is released? Write name and formula?
Answer:
The more reactive metals (Na, K, Ca) react with water and metal hydroxide are formed and H2 gas is released.
2Na + 2H – OH → 2NaOH + H2
Ca + 2H – OH → Ca(OH)2 + H2
2K + 2H – OH → 2K—OH + H2↑.

Question 13.
Write the reason for hardness of water and how many types of hardness are there?
Answer:
Water which does not readily produce lather with soap solution and cause of hardness of water. It is due to the presence of bicarbonate, sulphates and chlorides of calcium and magnesium in it. These salts get dissolved in it as it passes through the rock or ground.
Types of hardness:

  1. Temporary hardness: It is due to the presence of bicarbonates of calcium, magnesium ion dissolved in water.
  2. Permanent hardness: It is due to the presence of chlorides and sulphates of calcium, magnesium and iron in water.

Question 14.
What are hard and soft water?
Answer:
Hard water:
Water which does not readily produce lather with soap solution is known as hard water.
Soft water:
Water which readily produce lather with soap solution is known as soft water.

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Question 15.
What is distilled water? Give its one use?
Answer:
The water which is formed with the help of distillation, this water is called distilled water. Its main use is in medicines and to prepare reagents in laboratory.

Question 16.
Write the uses of heavy water?
Answer:
Deuterium oxide is known as heavy water, its chemical formula is D20. It contains two deuterium atom in place of normal hydrogen atom.
Uses of heavy water:
1. Heavy water is used in nuclear reactors to slow down the speed of neutrons to carry out many important reactions. It is also used in the preparation of deuterium D2. It is employed as a tracer in the study of reactions occurring in living organisms.

2. D2O is used in atomic reactors where it serves two purposes:

  • It acts as a coolant and
  • Act as a moderator.

3. The water of some rivers like the Ganga remains clear and pure even when kept for years. It is due to presence of heavy water in it.

Question 17.
Explain the oxidising and reducing nature of H2O2?
Answer:
1. H2O2 liberates oxygen atom easily so it is strong oxidising agent but when it reacts with other oxidising agent it easily extracts oxygen atom from them hence it possesses reducing property too.
Oxidising nature:

  1. PbS + 4H2O2 → PbSO4 + 4H2O
  2. NaNO2 + H2O2 → NaNO3 + H2O
  3. Na2SO3 + H2O2 → Na2SO4 + H2O

Reducing nature:

  1. H2O2 + O3 → H2O + 2O2
  2. H2O2 + Na2O2 → Na2O + H2O + O2
  3. Ag2O + H2O2 → 2Ag + H2O + O2.

Question 18.
Why the solution H2O2 did not concentrated on heating? How it can be concentrated?
Answer:
Hydrogen peroxide obtained by any method is dilute. It cannot be concentrated by boiling because it decomposes at a temperature below its boiling point. Therefore it is concentrated by following step:
1. Evaporation:
Evaporation of dilute solution of H2O2 on water bath at 70°C gives 45 – 50% H2O2 solution.

2. Vacuum evaporation:
The evaporation is further carried on, in a vacuum desiccator over concentrated sulphuric acid. In this way 66% solution of hydrogen peroxide is obtained.

3. Distillation under reduced pressure:
66% solution of hydrogen peroxide on distillation under reduced pressure, yields hydrogen peroxide of 99% concentration.

4. Crystallization:
H2O2 solution obtained in the above step is placed in a freezing mixture of solid CO2 and ether. Crystals of H2O2 formed are separated and melted to obtain pure H2O2.

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Question 19.
For the manufacture of hydrogen peroxide from peroxides, phosphoric acid is more useful than sulphuric acid why?
Answer:
H2SO4 acts as catalyst in the decomposition of H2O2. So for the manufacture of H2O2 from peroxides instead of H2SO4, weak acids like H3PO4, H2CO3 etc. are more useful.
3BaO2 + 2H3PO4 → Ba3(PO4)2 + 3H2O2
insoluble.

Question 20.
An ionic crystal of an alkali metal has significant covalent character and is almost unreactive towards oxygen and chlorine. This is used in the synthesis of other useful hydrides. Write the formula of this hydride? Write its reaction with Al2Cl6?
Answer:
The hydride is LiH. Due to Li it behaves as covalent compound. It is highly stable.
8LiH + Al2Cl6 → 2LiAlH4 + 6LiCl

Question 21.
Why hard water does not give fast lather with soap?
Answer:
In hard water bicarbonate, chlorides and sulphates of Ca and Mg are present. Soaps are sodium salt of higher fatty acids e,g., sodium stearate (C17H35COONa). (MPBoardSolutions.com) Salts of calcium and magnesium react and form precipitates of calcium and magnesium stearate.
2C17 H35 COONa + M2+ → (CH17 H35 COO)2 M + 2Na+
Until all the salts are precipitated, no lather is formed with soap and this soap is wasted.

Question 22.
Write four uses of H2O2?
Answer:

  1. It has antiseptic properties and hence used cleaning teeth, ears, wounds, etc.
  2. It is used for bleaching hair, silk, wool, feathers, ivory, etc.
  3. As oxidizing agent in laboratory.
  4. In the preservation of milk, wine and some other drinks.
  5. As a rocket fuel (as propellant) by producing oxygen.

Question 23.
Write the method of production of hydrogen from water gas?
Answer:
Process of preparation of hydrogen from water gas is known as Bosch process. Bosch process : In this process, hydrogen is obtained by separating it from water gas. Water gas is produced by passing steam over red hot coke.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 3

Water gas is mixed with steam and heated at a temperature of 450 °C in presence of Fe2O3 as catalyst and chromic oxide as promoter when carbon monoxide gets oxidized to carbon dioxide.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 4

The mixture of hydrogen and carbon dioxide is passed through water under 25 atmospheric pressure. Carbon dioxide gets dissolved leaving behind hydrogen. (MPBoardSolutions.com) Hydrogen so obtained still contains some carbon monoxide. It is removed by passing the gas through ammoniacal solution of cuprous chloride. The hydrogen so obtained contains nitrogen as impurity.

Question 24.
What is conducting water? Write their uses?
Answer:
Kohlrausch distilled the water 42 times at low pressure in an aperture made up of quartz. This water is called conducting water. This is used for
conductivity.

Question 25.
Write the redox reaction between fluorine and water?
Answer:
Fluorine is strong oxidising agent. It oxidizes H2O into O2 and O3.
2F2(g) + 2H2O(l) → O2(g) + 4H+(aq) + 4F(aq) 3F2(g) + 3H2O(l) → O3(g) + 6H+(aq) + 6F(aq).

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Question 26.
Explain why HCI is a gas and HF is a liquid?
Answer:
F is smaller and more electronegative than Cl, so it forms stronger H – bonds as compared to Cl. As a consequence, more energy is needed to break the H – bonds in HF than HCI and hence the boiling point of HF is higher than that of HCI. That’s why HF is liquid and HCI is a gas.

Question 27.
Write an equation for the manufacturing of D2O2?
Answer:
On reaction of D2SO4 with BaO2, D2O2 is prepared.
BaO2 + D2SO4 → BaSO4 + D2O2

Question 28.
Why H2O2 cannot be kept for a longer time?
Answer:
Since hydrogen peroxide decomposes on storage, therefore H2O2 is stored in brown bottle to avoid the effect of light. This is because the light cause the decomposition of H2O2. (MPBoardSolutions.com) A small quantity of acetanilide is also added which retard the decomposition of H2O2. Here acetanilide acts as an inhibitor.

Question 29.
Why H2O2 is called Antichlor?
Answer:
In neutral medium H202 reduce halogen to acid, metal oxides to metals and ozone to 02.
Cl2 + H2O2 → 2HCl + O2
Br2 + H2O2 → 2HBr + O2.
Due to its ability to reduce chlorine it acts as an Antichlor in bleaching by destroying the unreacted chlorine.

Question 30.
When the temporary hard water is boiled with lime water, it becomes soft Why?
Answer:
This method is called Clark method. When temporary hard water is treated with calculated quantity of lime, bicarbonate present in water change to insoluble carbonates which settle down. Soft water is then decanted off.
Ca(HCO3)2 + Ca(OH)2 → 2CaCO3 + 2H2O
Mg(HCO3)2 + Ca(OH)2 CaCO3 + MgCO3 + 2H2O

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Question 31.
Do you expect the carbon hydrides of the type (Cn H2n+2) to act as Lewis acid or base? Justify your answer?
Answer:
CnH2n+2 such as CH4, C2H6 etc. neither act as Lewis acid nor Lewis base. It is because octet of all the carbon atoms are completed.

Question 32.
Explain the effect of high enthalpy of H – H bond on reactivity of dihydrogen?
Answer:
Due to high enthalpy of dissociation of H – H bond. Hydrogen is unreactive at room temperature. But at high temperature and in presence of catalyst it forms hydrides with metals and non – metals.

Question 33.
In which compound the oxidation number of hydrogen is negative?
Answer:
When hydrogen reacts with higher metal or highly reactive metals like Na, K, Ca etc then electrovalent hydrides are formed. In this hydride the hydrogen has negative oxidation state.

Hydrogen Short Answer Type Questions – II

Question 1.
What is deuterium? Write its two uses?
Answer:
Deuterium is obtained by electrolysis of heavy water. It is collected at cathode and shows reaction similar to hydrogen like its form heavy ammonia (ND3) with nitrogen heavy water (D2O) with oxygen.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 5
Uses:

  1. Chemical and Biological reaction.
  2. It is used in artificial transmutation as target particle.

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Question 2.
Give reason:

  1. Lakes freeze from top towards bottom.
  2. Ice floats on water.

Answer:

  1. Water has maximum density at 4°C. In severe cold, the surface of the lake almost freezes but below the surface, there is water at a temperature about 4°C. This property is extremely helpful for animals living under lake water.
  2. Ice floats on liquid water as its density is less than liquid water.

Question 3.
If same mass of liquid water and a piece of ice is taken, then why is the density of ice less than that of liquid water?
Answer:
The mass per unit volume (i.emass/volume) is called density. Since water expands on freezing, therefore, volume of ice for the same mass of water is more than liquid water. In other words, density of ice is lower than liquid water and hence ice floats on water.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 6

Question 4.
How is the detection of hydrogen peroxide is performed?
Answer:
Test for hydrogen peroxide:

  1. When few drops of H2O2 is added to acidified potassium dichromate solution containing ether, blue colour solution is formed which confirms the presence of H2O2.
  2. Titanium dioxide is mixed with hot and cone. H2SO4 and then cooled followed by addition of few drops of hydrogen peroxide, yellow – orange pertitanic acid is produced.
  3. On adding few drops of H2O2 to acidified glycol solution, blue colour is obtained.
  4. Addition of few drops of H2O2 to a solution of FeSO4 and starch and potassium iodide solution gives blue colour.
  5. Addition of few drops of H2O2 to a mixture of aniline and potassium chlorate in dilute sulphuric acid give violet solution.

Question 5.
On the basis of electronic configuration justify the position of hydrogen in periodic table?
Answer:
Hydrogen is the first and the lightest element of the periodic table. It is not a metal but a non – metallic element. But on the basis of electronic configuration it is kept in first group of 5 – block. It is found in atomic form only at high temperature. (MPBoardSolutions.com) In elemental form it is found as diatomic molecule i.e., as H2 and is also called as dihydrogen. One proton and one electron is found in hydrogen atom. Hydrogen forms large number of compounds and is an element of high industrial importance.

Hydrogen is the first element of periodic table with one proton in the nucleus and one electron in the first shell (K – shell). It is not possible to assign a to hydrogen in Mendeleev’s and modem periodic table because it shows similarities and dissimilarities with alkali metals (IA group), halogens (VIIA group) and carbon group (IV A group). This makes position of hydrogen very controversial. Because of this it is also known as Rogue element.

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Question 6.
H2O2 is used for shining the old oil paintings?
Answer:
Old oil paintings contain basic lead oxide, H2S present in atmosphere change lead oxide into lead sulphide. Thus, white paintings become black.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 7
When the paintings are washed with hydrogen peroxide black lead sulphide oxidised into lead sulphate and painting shine again.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 8

Question 7.
Draw the atomic structures of all isotopes of hydrogen?
Answer:
Atoms of an element having same atomic number but different atomic mass is known as isotope. Hydrogen has three isotopes :

  1. Protium or ordinary hydrogen \(_{ 1 }^{ 1 }\)H
  2. Deuterium or heavy hydrogen \(_{ 1 }^{ 1 }\)H
  3. Tritium or radioactive hydrogen \(_{ 1 }^{ 3 }\)H

Structural diagram:
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 9
Isotopic effect:
The difference in properties mass is called isotopic effect.

Question 8.
On the basis of structure and chemical reactions? Explain, what are the characteristics of electron deficient hydrides?
Answer:
Electron deficient hydrides do not have sufficient number of electrons to form normal covalent bonds. They generally exist in polymeric forms such as B2H6, B4H10, (AlH3)n etc.
Due to deficiency of electrons, these hydrides act as Lewis acids and thus, form complex entities with Lewis bases such as NH3, H ions.
B2H6 + 2NH3 → BH2(NH3)2]+(BH4)
B2H6 + 2NaH → 2Na+(BH4)
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 10

Question 9.
Describe ortho and para hydrogen. How will you obtain para hydrogen?
Answer:
Hydrogen atom consists of one proton in the nucleus and one electron in the extra nuclear part. Both electron and nucleus spin about their own axis. (MPBoardSolutions.com) When two atoms of hydrogen combine to form a hydrogen molecule, the spins of electron should be in opposite direction but the spins of nuclei may either be in the same direction or in opposite directions. When nuclear spins are in same direction, it is called ortho hydrogen. When nuclear spins are in opposite directions, it is called para hydrogen.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 11
Preparation of para hydrogen:
Para hydrogen can be obtained from ordinary hydrogen by keeping it in a quartz vessel with active charcoal at 20K for about 3 to 4 hours.

Question 10.
Why, hard water does not used in boiler?
Answer:
1. Hard water is not used in boiler because compound of calcium and magnesium are deposited on internal side of boiler. This coating is bad conductor of heat so wastes of fuel take place. Due to this coating boiler have to the heated very much for heating water.

2. The boiler may burst if sudden cracks appear in boiler scale. Due to these sudden cracks, the water that comes in contact with the heated boiler is at once converted into steam and the sudden increase in pressure may cause the boiler to burst.

3. Hydrogen is volatile gas therefore, it is risk for explosion.

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Question 11.
How the production of dihydrogen obtained from coal gasification can be increased?
Answer:
The gasification of producing syn gas from coal or coke is called coal gasification.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 12
This is called water gas shift reaction. The CO2 thus produced is removed by scrub-bing with sodium arsenite solution.

Question 12.
Expiain the structure of hydrogen peroxide?
Answer:
Dipole moment of H2O2 is 2.1 D, it indicates that structure of H2O2 is non – planar. By X – rays and other physical methods it is known that structure of H2O2 is like open book. (MPBoardSolutions.com) In gaseous state planes form an angle of 111.5°. In the axis, there are two oxygen atoms and one hydrogen in each plane.

The H – O and O – O bond lengths are 0.95Å and 147Å respectively. There is a slight change in the crystalline state due to hydrogen bonding. The angle between the planes is 90.2°, angle O – O – H = 101.9°, bond length H – O = 0.99Å and O – O is 1.46Å.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 13
According to modem and latest belief probably both forms occur in equilibrium in aqueous solutions involving ionisation which explains the feeble acidic nature of hydrogen peroxide.

Question 13.
What is water gas? Write its constituents and uses?
Answer:
Bosch processes:
When steam is passed over red hot coke, water gas is produced.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 14
Water gas is mixed with steam and passed over Fe2O3 oxidized to CO2.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 15
This mixture of CO2 and H2 is passed in water at 25 atmospheric pressure CO2 gas is absorbed and H2 gas remains.
Constitution:
H2 = 49%, N2 = 4%, CO = 44%, CO2 = 2.7%, CH4 = 0.3%
Uses:

  1. As fuel in furnaces
  2. For preparation of carbonated water gas
  3. For manufacturing of ammonia.

Question 14.
What do you understand by the term “non – stoichiometric” hydrides? Do you expect this type of the hydrides to be formed by alkali metals? Justify your answer?
Answer:
The hydrides in which the ratio of the metal and hydrogen is found to be fractional are called non – stoichiometric hydrides. It is also observed that this fractional ratio is not fixed but varies with the temperature and pressure. (MPBoardSolutions.com) Such hydrides are formed by d and f – block elements. Usually all the holes are not occupied i.e., some holes always remain vacant and thus, these compounds are non – stoichiometric. Alkali metals do not form non – stoichiometric hydrides as each sodium atom loses its valency electron which is accepted by hydrogen atom to form H ion. In this way, an ionic compound, Na+ H, is formed.

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Question 15.
What is Calgon? How hardness of water is removed by using it?
Answer:
Calgon is a trade name for the complex salt (NaPO3)6 as Na2 [Na4 (PO3)6]. When calgon is added to hard water are rendered ineffective due to the formation of water soluble complex ion. This is known as sequstration.
Na2[Na4(PO3)6] + 2CaCl2 → Na2[Ca2(PO3)6] + 4NaCl
Na2 [Na4(PO3)6] + 2MgSO4 → Na2[Mg2 (PO3)6] + 2Na2SO4
The complex calcium and magnesium ion do not form any precipitate with soap. Therefore, they readily form lather with soap solution. Modem detergent contains sodium hexa – meta phosphate to remove the hardness of water due to Ca2+ and Mg2+ ion hence wastage of soap is checked.

Question 16.
Explain that H2O2 acts as both oxidizing and reducing agent. Why?
Answer:
H2O2 liberates oxygen atom easily, so it is strong oxidizing agent, but when it reacts with other oxidizing agent, it easily extracts oxygen atom from them hence, it possesses reducing property too.
Oxidizing nature:
1. 2KI + H2O2 → 2KOH + I2
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 16
Reducing nature:
(a) In basic medium, it converts ferricyanide to ferrocyanide.
2[Fe(CN6)]3- + 20H + H2O2 → 2[Fe(CN)6]4- + 2H2O + O2

(b) In acidic medium; it reduces permanganate to manganese (II) salt.
2MnO4 + 6H+ + 5H2O2 → Mn2+ + 8H2O + 5O2

Question 17.
Consider a reaction of water with F2 and suggest, in terms of oxidauon and reduction, which species will oxidized/reduced?
Answer:
2F2(g) + 2H2O(l) → O2(g) + 4H+(aq) + 4F(aq)
3F2(g) + 3H2O(l) → O2(g) + 6H+(aq) + 6F(aq)
In these reactions, water acts as a reducing agent as it gets oxidized to either O2 or O3 while fluorine acts as an oxidizing agent as it is reduced to F ion.

Question 18.
How does H2O2 behave as bleaching agent?
Answer:
Hydrogen peroxide acts as a bleaching agent due to the release of nascent oxygen.
H2O2 → H2O + [0]
The nascent oxygen combines with colouring matter which in turn gets oxidized. The bleaching action of H2O2 is due to the oxidation of colouring matter by nascent oxygen. It is used for bleaching materials like jury, silk, wool, feathers etc.

Question 19.
Why the density of water is maximum at 4°C?
Answer:
Maximum density of water:
Melting of ice decreases hydrogen bonds because cage – like structure is broken. With increase in temperature from 0°C to 4°C with the cleavage of H – bonds, water molecules starts moving closer to each other as a result volume decreases while density increases. (MPBoardSolutions.com) When the temperature becomes greater than 4°C, kinetic energy of H2O molecule increases resulting in expansion of water. As a result of this volume increases while density decreases. That is at 4°C, density of water is maximum.

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Question 20.
What do you understand by

  1. Electron deficient
  2. Electron precise and
  3. Electron rich compounds of hydrogen? Provide justification with suitable examples?

Answer:
1. Electron deficient hydride:
Electron deficient hydrides are those which do not have sufficient number of electrons to form normal covalent bond.
Examples: BH3, AlH3
To makeup their deficiency they generally exist in polymeric form such as B2H6, Al2H6.

2. Electron precise hydride:
Electron precise hydrides are those which have suffi-cient number of electrons required for forming covalent bond.
Examples:
CH4, SiH4 etc.

3. Electron rich hydride:
Electron rich hydrides are those which have excesses electron as required to form normal covalent bond. The excesses electron present as lone pair.
Examples: NH3, PH3 etc.

Question 21.
Tell the group of hydrides which include H2O, B2H6 and NaH?
Answer:

  • H2O: Covalent or molecular hydride (Electron rich hydride)
  • B2H6: Covalent or molecular hydride (Electron deficient hydride)
  • NaH: Ionic or salt hydride.

Hydrogen Long Answer Type Questions

Question 1.
Explain Permutit process of removal of hardness of water?
Answer:
Permutit process or Zeolite process:
The water is passed over such substances which readily replace the Ca2+ and Mg2+ ions of hard water by sodium ions. The water does not become hard in presence of sodium salts. Ofcourse too much of sodium salts also make it hard just as in sea water. (MPBoardSolutions.com) The water thus obtained is soft. These products are called as zeolites. Zeolite is a technical name given to certain hydrated silicates of aluminium and sodium. It is also known as permutit. It is obtained by fusing sodium carbonate with alumina and silica.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 17
Na2CO3 + Al2O3 + 2SiO2 → Na2Al2Si2O8 + CO2
Na2Al2Si2O8 is known as sodium zeolite and Al2Si2O8 is zeolite and can be represented by Z. Sodium zeolite reacts with chlorides, sulphates of Ca and Mg as given below and hardness is removed.
CaCl2 + Na2 → CaZ + 2NaCl
MgSO4 + Na2 → MgZ + Na2SO2
Reactions have been given by representing sodium zeolite as Na2Z.
After sufficient use permutit gets exhausted and cannot be used further. It is regenerated and made usable by passing 10% solution of sodium chloride.
CaZ + 2NaCl → CaCl2 + Na2Z
MgZ + 2NaCl → MgCl2 + Na2Z

Question 2.
What happens when:

  1. Calcium hydride reacts with water
  2. H2O2 is added in acidic KMnO4 solution
  3. Reaction of potassium ferricyanide with H202
  4. Reaction of H2 with N2 at high temperature and pressure in presence of Fe?

Answer:

  1. On reaction of calcium hydride with water, H2 is formed
    CaH2 + 2H2O → Ca(OH)2 + 2H2
  2. The pink colour disappear of KMnO4
    2KMnO4 + 3H2SO4 + 5H2O2 → K2SO4 + 2MnSO4 + 8H2O + 5O2
  3. On adding H2O2 in potassium ferricyanide, it reduces to potassium ferrocyanide
    2K3[Fe(CN)6] + 2KOH + H2O2 → 2K4[Fe(CN)6] + 2H2O + O2
  4. Ammonia is formed when hydrogen reacts with N2 200 atm. pressure

MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 18

Question 3.
Explain the processes of formation of hydrogen in laboratory?
Answer:
Preparation of hydrogen (laboratory method):
Hydrogen is prepared in laboratory by action of dil. H2SO4 on granulated Zn. Zn is taken into woulf bottle fitted with thistle funnel and a outlet tube.
Hydrogen formed by this method is collected over water by displacement method.
Zn + H2SO4 → ZnSO4 + H2
Purification of hydrogen : Hydrogen prepared by this method contains following impurities:

  1. Arsine (AsH3) and phosphene (PH3)
  2. H2S
  3. SO2, CO2 and oxides of nitrogen (NO2)
  4. Water vapours.

MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 19
In order to remove these impurities, gas is passed in a series of U – tubes containing different solutions:

  1. Passed in tube filled with AgNO3 solution to absorb AsH3 and PH3.
  2. Passed in the tube containing lead nitrate solution to remove H2S.
  3. Passed in the tube filled with cone. KOH solution to remove SO2, CO2 and NO2.

Question 4.
Rohan heard that instructions were given to the laboratory attendent to store a particular chemical Le., keep it in the dark room, add some urea in it, and keep it away from dust This chemical acts as an oxidizing as well as a reducing agent in both acidic and alkaline media. This chemical is important for use in the pollution control treatment of domestic and industrial effluents?

  1. Write the name of this compound.
  2. Explain, why such precautions are taken for storing this chemical?

Answer:

  1. H2O2 (Hydrogen peroxide).
  2. The following precautions must be taken while storing hydrogen peroxide:
  3. It must be kept in wax lined coloured bottles because the rough glass surface, light and dust particles are responsible for its decomposition.
  4. A small amount of negative catalyst such as urea, glycerol, phosphoric acid etc. is generally added which retards its decomposition.

MP Board Solutions

Question 5.
Calculate the strength of 5 volume of H2O2 solution?
Answer:
5 volumes 2O2 solution means that 1 volume of this solution will decompose to give 5 volumes of oxygen at S.T.P.
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 20
5 L oxygen is obtained from \(\frac{68×5}{22.4}\) g H2O2 = 15.17 g H2O2
i.e. 15g H2O2 is present in 1L solution. Thus, strength of the solution = 15 g/L.

Question 6.
Complete the following reactions:

  1. PbS(s) + H2O2(aq)
  2. MnO4(aq) + H2O2(aq)
  3. CaO(s) + H2O(g)
  4. AlCl3(g) + HzO(l)
  5. Ca3N2(s) + H2O(l)

above

  1. Hydrolysis
  2. Redox
  3. Solvation process.

Answer:
MP Board Class 11th Chemistry Important Questions Chapter 9 Hydrogen img 21

MP Board Class 11 Chemistry Important Questions

MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions

MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions

Redox Reactions Important Questions

Redox Reactions Objective Type Questions

Question 1.
Choose the correct answer:

Question 1.
Metals used in Daniel cell are:
(a) N and Cu
(b) Zn and Ag
(c) Ag and Cu
(d) Zn and Cu
Answer:
(d) Zn and Cu

Question 2.
Which of the following is strongly reducing:
(a) r
(b) cr
(c) Bf
(d) r
Answer:
(d) r

Question 3.
Oxidation in electrolyte occurs:
(a) At anode
(b) At cathode
(c) At both the electrodes
(d) None of these
Answer:
(a) At anode

MP Board Solutions

Question 4.
Which of the following statement is correct? Galvanic cell converts:
(a) Chemical energy to electrical energy
(b) Electrical energy to chemical energy
(c) Electrical state of metal to combined state
(d) Electrolytes to ions
Answer:
(b) Electrical energy to chemical energy

Question 5.
Oxidation number of chlorine in HOCl is:
(a) – 1
(b) 0
(c) +I
(d) +2
Answer:
(c) +I

Question 6.
Oxidation number of Mn in K2MnO4 is:
(a) +2
(b) +6
(c) +7
(d) 0
Answer:
(b) +6

Question 7.
Oxidation number of Cr in K2Cr2O7 is:
(a) -6
(b) +6
(c) +2
(d) -2.
Answer:
(b) +6

Question 8.
Oxidation number of Ni in Ni(CO)4 is:
(a) 0
(b) +2
(c) +1
(d) – 1.
Answer:
(a) 0

MP Board Solutions

Question 9.
Unit of cell constant is:
(a) ohm-1cm-1
(b) ohm cm
(c) cm
(d) cm-1
Answer:
(d) cm-1

Question 10.
Oxidation state of nitrogen is maximum in:
(a) N3H
(b) NH2OH
(c) N2H4
(d) NH3
Answer:
(a) N3H

Question 11.
Oxidation state of oxygen is zero in:
(a) CO
(b) O3
(c) SO2
(d) H2O2
Answer:
(b) O3

Question 12.
Oxidation state of Fe in K4[Fe(CN)6] is:
(a) +2
(b) +6
(c) +3
(d) +4
Answer:
(a) +2

Question 13.
Oxidation state of S In H2S2O8 is:
(a) +2
(b) +4
(c) +6
(d) +7
Answer:
(c) +6

MP Board Solutions

Question 14.
Oxidation state of Mn in KMnO4 is:
(a) +4
(b) +6
(c) +7
(d) +5
Answer:
(c) +7

Question 15.
oxidation state of chlorine is in:
(a) HCl
(b) HClO4
(c) ICI
(d) Cl2O
Answer:
(d) Cl2O

Question 16.
Oxidation state of Cl in ClO3 ion is:
(a) +4
(b) +5
(c) +3
(d) +2
Answer:
(b) +5

Question 17.
Halogen which is reduced most easily is:
(a) I2
(b) Br2
(c) Cl2
(d) F2
Answer:
(a) I2

Question 18.
Oxidation state of C in CCl4 is:
(a) +4
(b) -4
(c) +6
(d) – 6
Answer:
(a) +4

Question 19.
Oxidation state of S in S04-2 is:
(a) +6
(b) -6
(c) +5
(d) – 5
Answer:
(a) +6

MP Board Solutions

Question 20.
Oxidizing agent are:
(a) Electron acceptor
(b) Electron donor
(c) Proton acceptor
(d) Neutron acceptor
Answer:
(a) Electron acceptor

Question 2.
Fill in the blanks:

  1. Process of loss of electrons is called ……………………..
  2. Process of gain of electrons is called …………………….
  3. The deterioration of metals in presence of atmospheric gases and moisture is called …………………………
  4. A device in which electric energy gets converted to chemical energy is called …………………….. cell
  5. In electrochemical series the ability to reduce ………………………… on moving down
  6. Most strong reducing element is ………………………….
  7. Most strong oxidizing element is ………………………..
  8. Theory of dissociation of electrolyte was proposed by ……………………….

Answer:

  1. Oxidation
  2. Reduction
  3. Corrosion
  4. Electrochemical cell
  5. Decreases
  6. Lithium
  7. Fluorine
  8. Arrhenius

MP Board Solutions

Question 3.
Answer in one word/sentence:

  1. What is balanced redox reaction?
  2. Why does iron displaced copper from its salt solution?
  3. What is the oxidation state of chlorine in Cl2O?
  4. Why does an electrolyte dissociate into ions when dissolved in water?
  5. A saturated solution of KNO3 is used for the formation of salt bridge. Why?
  6. In SnCl2 + 2 FeCl3 → SnCl4 + 2 FeCl2, reaction which element is oxidizing agent?
  7. What is oxidation state of Xe in XeO3?

Answer:

  1. Redox reaction in which amount of oxidation and reduction is to the same extent.
  2. Because standard eletrode potential value of iron is less then the standard electrode potential of copper.
  3. +1
  4. Because the electrostate attractive force between the ions break due to water.
  5. Because the speed of K+ and NO3 and is almost same.
  6. FeCl3
  7. +6

Question 4.
Match the following:
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 1
Answer:

  1. (c)
  2. (d)
  3. (a)
  4. (b)
  5. (e)

Redox Reactions Very Short Answer Type Questions

Question 1.
Why iron displaces copper from its salt solution?
Answer:
Because the standard electrode potential of iron is less than copper.

Question 2.
What is the oxidation number of Cl in Cl2O?
Answer:
+1.

Question 3.
When an electrolyte is dissolved in water, it dissociates into ions? Why?
Answer:
Because due to water the electrostatic attraction force between the ions breaks.

Question 4.
Why the saturated solution of KNO3 is used to prepare salt bridge?
Answer:
Because the speed of K+ and NO3 ions is similar.

MP Board Solutions

Question 5.
In SnCl2 + 2FeCl3 → SnCl4 + 2FeCl2, which is oxidizing agent?
Answer:
FeCl3.

Question 6.
What is the oxidation number of Xe in XeO3?
Answer:
+6.

Question 7.
Which metal is used in Daniel cell?
Answer:
Lithium.

Question 8.
What is the oxidation state of Mn in K2MnO4?
Answer:
+6.

Question 9.
Which is the most reducing element?
Answer:
Lithium.

Question 10.
Who maintains the neutrality among the two half cells?
Answer:
Salt bridge.

MP Board Solutions

Question 11.
What is the standard electrode potential of SHE?
Answer:
0.00V (Zero).

Question 12.
Which is the best conducting metal?
Answer:
Silver (Ag).

Question 13.
The reaction 3ClOaq → Cl3 + 2Cl is an example of?
Answer:
Disproportionation reaction.

Question 14.
Which halogen reduces very easily?
Answer:
F2.

MP Board Solutions

Question 15.
Which reaction is called electron acceptance reaction?
Answer:
Reduction.

Question 16.
Where oxidation occurs in electrolysis?
Answer:
At anode.

Redox Reactions Short Answer Type Questions – I

Question 1.
What is oxidation process? Explain redox reaction with example?
Answer:
Oxidation state of an element is defined as “The residual charge left on its atom”. When all the other atoms are removed from the molecule as ion.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 2
2Mg + O2 → 2MgO [Addition of oxygen]
2FeCl2 → 2FeCl3 [Addition of electronegativity element]
H2S + Cl2 → S + 2HCl [Removal of hydrogen]
2Ki + H2O2 → 2KOH + I2 [Removal of electropositive element]

Question 2.
What is reduction process? Explain with example?
Answer:
The ability of any substance to accept hydrogen atom or +ve electrolytic element or to release oxygen or – ve element is called reduction process.
CuO + H2 → Cu + H2O [Remove of oxygen]
2FeCl3 + H2 S → 2FeCl2 + 2HCl + S [Removal of electromagnetive element]
Cl2 + H2S → 2 HCl + S [Addition of H]
S + Fe → Fes [Addition of electropositive element]

Question 3.
AgF2 is unstable compound, but if it is formed then it will acts as strong oxidising agent Why?
Answer:
In AgF2, Ag has oxidation state +2, it is highly unstable, it very easily accept electron and forms oxidation state +1. Because Ag+ has stable configuration so it is stable.
Ag2+ + e → Ag+
This is the reason why AgF2 behaves as a strong oxidizing agent.

MP Board Solutions

Question 4.
By the structure of S4O62-clarify that the oxidation state of S is +5?
Answer:
The oxidation state of two central sulphur atom is 0. As the electron pair remains in the centre cf the bond. So the remaining sulphur atom has oxidation state 4 – 5.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 3
⇒ 6(-2) + 2x = -2
⇒ -12 + 2x = -2
⇒ 2x = -2 + 12 = 10
⇒ x = \(\frac{10}{2}\) = 5.

Question 5.
What is electrochemical series?
Answer:
Electrochemical series:
When different elements and ions are arranged in increasing order of their standard electrode potential, a series is obtained which is called electrochemical series as activity series.

Question 6.
What is salt bridge? Write its two uses?
Answer:
1. It connects the solution in two half ceil and completes the cell circuit

2. The salt bridge which contains the solution of an electrolyte say K+NO3 maintains the electrical neutrality by diffusion of ion through it. As positive ion begins to be formed in oxidation half cell negative ion from the salt bridge diffuse out into this half cell. Similarly, as the positive Ion begin to be consumed in the reduction.

Hair cell positive:
On from the salt bridge diffuse out into this half cell. As a result the solution in the two half cell remain electrically neutral and the current continous to flow.

Question 7.
On the basis of electron transfer explain oxidation and reduction reactions?
Answer:
Reactions involving exchange of electrons are called redox reaction. Reaction given below
2FeCl3 + SnCl2 → 2FeCl2 + SnCl4
It is an example of redox reaction in which FeCl3 is oxidizing agent while SnCl2 is a reducing agent.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 4
According to electronic concept during oxidation substance loses one or more electron and its positive oxidation number increases while negative oxidation number decreases. (MPBoardSolutions.com) On the other hand, during reduction substance gains one or more electron and is positive oxidation number decreases while negative oxidation number increases.

Question 8.
What is electrochemical equivalent?
Answer:
According to Faraday’s first law:
The mass of any substance deposited at any electrode is directly proportional to the quantity of electricity passed.

Thus, if W gm substance is deposited on passing Q coulomb electricity, then W ∝ Q or W = ZQ
Where, Z is a constant of proportionality and is called electrochemical equivalent of the substance deposited. If a current of I ampere is passed for t second, then Q = I × t. (MPBoardSolutions.com) So that, W = Z × Q = Z × I × r

Thus, if, Q = 1 coulomb, 1=1 ampere and t = 1 second, then W = Z. Hence, electrochemical equivalent of a substance may be defined as, “The mass of the substance deposited when a current of one ampere is passed for one second”.

As one Faraday (96500 C) deposits one gram equivalent of the substance, hence, electrochemical equivalent can be calculated from the equivalent mass.
\(\frac { Equivalentmassofthesubstance\quad }{ 96500 } \)

MP Board Solutions

Question 9.
What happens when Zn is kept in CuS04 solution? Explain with equation?
Answer:
The reaction occurring in the beaker may be written as
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 5
Cancelling the common S042+ ions
Zn(s) + Cu2+(eq) → Zn2+(eq) + Cu(s)
In this case Zinc metal loses electron and gets oxidised to Zn++ ions which goes into the solution. Due to this, weight of zinc plate gradually decreases. On the other hand, electrons lost by Zinc atom are taken up by Cu2+ ions of CuS04 solution.

Question 10.
What do you mean by standard electrode potential?
Answer:
Standard electrode potential: Standard electrode potential (E°) of a half cell (electrode) is the potential difference which is produced when one electrode is dipped in the solution of molar concentration of its ion at 298 K. (MPBoardSolutions.com) If electrode is gaseous, the pressure of gas must be one atmosphere.
In IUPAC system reduction potentials are known as standard electrode potential.

Question 11.
The reaction Cl2(g) + 2OH(aq) → ClO(aq) + Cl(aq) + H2O(l) represents the process of bleaching. Identify and name species that bleaches the substances due to its oxidizing action?
Answer:
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 6
In this reaction, O. N. of Cl increases from 0 in Cl2 to +1 in ClO and decreases to -1 in Cl. Therefore, Cl2 is both oxidized to ClO and reduced to Cl (Disproportionation reaction). Since, Cl ion cannot act as oxidizing agent (Because it cannot decrease its O.N. lower than -1) therefore, Cl2 bleaches substance due to oxidizing action of ClO (Hypochlorite) ion.

Question 12.
Define oxidizing agent and reducing agent?
Answer:
Oxidizing agent:
A substance which brings oxidation is called oxidising agent. On the basis of electronic theory, an oxidizing agent may be defined as an electron acceptor. i.e. (MPBoardSolutions.com) in the reaction between Zn atom and Cu2+ ion in aqueous solution of Cu2+ salt, Cu2+ ion is the oxidizing agent as it brings about the oxidation of Zn atom by gaining the electron lost by it.
Zn + Cu2+ → Zn2 + Cu
(Gains e)
(∴ Oxidising agent)
Thus, oxidizing agent or oxidant undergoes gain of electrons during the reaction.
Reducing agent:
A substance which brings about reduction is called a reducing agent. On the basis of electronic theory, a reducing agent may be defined as an electron donor, e.g., in reaction between Zn atom (MPBoardSolutions.com) Cu2+ ion in an aqueous salt solution of Cu2+, Zn atom is the reducing agent as it brings about reduction of Cu2+ ion by losing the electrons.
Zn + Cu2+ → Zn2+ + Cu
(Loses e)
(∴Reducing agent)

MP Board Solutions

Question 13.
If iron rod is dipped in CuS04 solution then copper is displaced from its solution by iron but when copper rod is dipped in FeS04 solution. Why iron is not displaced by copper? Explain?
Answer:
Fe occupies higher position in electrochemical series than Cu. So, Fe is more active than Cu. That is why Fe displaces Cu from CuS04 solution, but Cu is not able to displace Fe from FeS04 solution.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 7

Question 14.
What is oxidation number?
Answer:
Oxidation number of an element is defined as, “The residual charge left on its atom when all the other atoms are removed from the molecule as ions.” Atoms can have positive, negative or zero oxidation state depending upon their state of combination. (MPBoardSolutions.com) In fact, oxidation number is the charge assigned to the atom in a species according to some rules. It is also known as oxidation state.

Question 15.
In electrochemical series, the activity of metals increases or decreases in which sequence?
Answer:
Species present in the right of electrochemical series are reducing agent. Smaller the value of E°, stronger is the reducing agent. The activity of metals decrease on going down the electrochemical series.

Question 16.
What is E° value be + ve shows in Galvanic cell?
Answer:
The positive value of E° shows:

  1. Oxidation occurs at anode and
  2. The electrode where reduction occurs can be taken as cathode.

Question 17.
What is electrode potential? Its value depends on what factors?
Answer:
The electrical potential difference setup between the metal and its solution is known as electrode potential.
The electrode potential depends upon:

  1. Concentration of ions in the solution
  2. Temperature.

MP Board Solutions

Question 18.
On the basis of standard electrode potential given below, arrange the metals in their increasing reducing power?
K+/ K = – 2.93V, Ag+/ Ag = 0.80V, Hg2+/ Hg = 0.79V, Mg2+/ Mg = -2.37V, Cr3+/ Cr = -0.74V?
Answer:
Less the value of E°, the reducing power increases of the metal. So the sequence is Ag < Hg < Cr < Mg < K.

Question 19.
Among MgO, ZnO, CuO and CaO which oxide will reduce by hydrogen?
Answer:
Mg, Zn and Ca are more reactive than H in electrochemical series. So they will not reduced by H. Cu is present below H, so the reactivity of Cu is less than H. So CuO will easily get reduced by H.

Question 20.
The electrode potential (E°) of Ag, Ba, Mg and Au are +0.80, -2.90, -2.37 and +1.42 volt. Among these metals which will displace H from acids and which will not?
Answer:
Those metals which have E° value negative they are more reactive than hydrogen and can easily displace H from weak acids. So, Ba and Mg can displace H from acid solution.

Question 21.
Can be put CuSO4 solution in silver container? Why?
Answer:
In electrochemical series Ag comes below Cu, so reactivity of Ag is less than Cu. There Ag will not displace Cu from CuSO4 solution. CuSO4 can be kept in Ag container.

Redox Reactions Short Answer Type Questions – II

Question 1.
Fluorine reacts with ice as follows:
H2O(s) → HF(g) + HOF(g)
Justify that, this reaction is a redox reaction.
Answer:
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 8
Since, fluorine can undergo oxidation as well as reduction, it is an example of redox reaction.

Question 2.
In acidic medium MnO42- shows disproportionation reaction but MnO4 does not show why?
Answer:
In oxidation state of Mn in MnO4-2 is +6. It can increase oxidation state (+7) and decrease (+4, +3, +2, 0 etc.). So in acidic medium it shows disproportionation reaction.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 9
In MnO4, Mn has maximum oxidation state (+7). It can only decrease its oxidation state. Due to which it cannot show disproportionation reaction.

Question 3.
In the following reaction whose oxidation and whose reduction occur:
PbS + 4H2O2 → PbSO4 + 4H2O
Answer:
In this reaction PbS is oxidized as PbSO4 and H2O2 is reduced to form H2O.

MP Board Solutions

Question 4.
Differentiate between oxidation number and valency?
Answer:
Differences between Oxidation number and Valency:
Oxidation:

  1. It is the residual charge left on the atom of an element when all other atoms are removed from molecule or ion.
  2. It refers to charge and can be positive, negative or zero, e.g., oxidation number of C in CO2 is +4 and that of oxygen is -2.
  3. It may have fractional value.
  4. Elements like C, N, O have variable oxidation number.

Valency:

  1. It is the combining capacity of the element expressed as number of H – atom or double the number of oxygen atoms which combine with one atom of the element.
  2. It refers to number only and does not carry any sign, e.g., in CO2 valency of carbon is 4 and that of oxygen is 2.
  3. It is always a whole number.
  4. Elements like C, N, O exhibit constant valency.

Question 5.
Why fluorine doesn’t show disproportionation reaction?
Answer:
Like chlorine, bromine and iodine also undergo similar disproportionation reactions but fluorine does not. The reason for this anomalous behaviour is that fluorine being the strongest oxidizing agent does not show positive oxidation states. It, therefore, reacts in a different way forming oxygen difluoride (OF2).
2F2(g) + 2OH(g) → 2F(aq) + OF2(g) + H2O(l)

Question 6.
Show that galvanic cell where following reaction occurs:
Zn(s) + 2Ag+(aq) → Zn2+(aq) + 2 Ag(s)
Now explain :

  1. Which electrode is -ve?
  2. What is the motive of electricity in cell?
  3. What is the reaction occurring on each electrode?

Answer:
Galvanic cell Zn(s) ∥ Zn2+(aq)Ag(aq) ∥ Ag+(aq) ∥ Ag(s)

  1. Zn electrode is negatively charged. Zn is oxidized into Zn+2.
  2. Electricity flows from Ag electrode to Zn electrode and electrons flow from Zn to Ag electrode.
  3. Reactions on electrode:

Cathode — Zn(s) → Zn+2(s) + 2e
Anode — 2Ag+(aq) + 2e → 2Ag(s)

MP Board Solutions

Question 7.
Write the definition of electrochemical cell? Write the chemical reactions of Daniel cell?
Answer:
An electrochemical cell (Galvanic cell) is a device in which the redox reaction takes place indirectly and the decrease in free energy appears in the form of electrical work i.e. chemical energy is converted into electrical energy.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 10

Question 8.
Write the factors affecting electrode potential?
Answer:
The factors affecting electrode potential are:

  1. Tendency of metal to donate electrons: More the tendency to release electron more will be electrode potential.
  2. Temperature: With increasing temperature electrode potential increases.
  3. Concentration of solution: More the concentration of solution more will be electrode potential.

Question 9.
Determine the oxidation number of following:

  1. Cr in K2Cr2O7
  2. Mn in KMnO4
  3. S in Na2S4O6.

Solution:
1. Cr in K2Cr2O7
2 (+1) + 2x + 7 (-2) = 0
or 2 + 2x – 14 = 0
or 2x = 12
or x = +6.

2. Mn in KMnO4
1 (+1) + 1x + 4(-2) = 0
or 1 + x – 8 = 0
or x = +7.

3. S in Na2S4O6
2 (+1) + 4x + 6 (-2) = 0
or 2 + 4x – 12 = 0
or 4x = 10
or x = 2.5.

Question 10.
Why does the following reactions occur:
XeO6(aq)4- + 2F(aq) + 6H+(aq) → XeO3(g) + F2(g) + 3H2O(l)?
What conclusion about the compound Na4XeO6 (of which XeO64- is a part) K2MnF6 can be drawn from the reaction?
Answer:
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 11
O.N. of Xe decreases from +8 to +6. This shows that XeO64- is an oxidizing agent. It oxidises F to F2. This reaction shows that Na2XeO6 (or XeO6) is a stronger oxidizing agent than F2.

Question 11.
Chlorine is used to purify drinking water. Excess of chlorine is harmful. The excess chlorine is removed by treating with sulphur dioxide. Present a balanced equation for this redox change taking place in water?
Answer:
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 12
Multiplying Cl by 2 (As 2 atoms are in Cl2)
Cl2(aq) + SO2(aq) + H2O(l) → 2Cl(aq) + SO42-(aq)
On adding 4H+ in left side and multiplying in H2O by 2,
Cl2(aq) + SO2(aq) + 2H2O(l) → 2Cl(aq) + SO42- + 4H+
It is a balanced disproportionation reaction.

Question 12.
Differentiate between electrochemical cell and electrolytic cell?
Answer:
Differences between electrochemical cell and electrolytic cell:
Electrochemical (Galvanic) cell:

  1. In Galvanic cell, chemical energy is changed into electrical energy.
  2. Reaction in Galvanic cell is spontaneous.
  3. Oxidation and reduction occurs in different half cell.
  4. Anode is negative while cathode is positive terminal.
  5. The electrons move from anode to cathode in the external circuit.

Electrolytic cell:

  1. In electrolytic cell, electrical energy is changed into chemical energy.
  2. Reaction in electrolytic cell is non – spontaneous.
  3. Oxidation and reduction occurs in same container.
  4. Anode is positive while cathode is negative terminal.
  5. The electrons are supplied by the external circuit which enter through the cathode and came out through anode.

MP Board Solutions

Question 13.
What is Nernst equation? Derive relation between E and E°?
Answer:
In Standard cell, the concentration of the solution used is 1M and the temperature is maintained at 25°C (For 298K). But the Galvanic cells are often constructed under non standard condition. In such cases the cell voltage (or EMF) is calculated by Nernst equation as follows:
E = E° – \(\frac{RT}{nF}\) loge \(\frac { M_{ (s) } }{ M^{ n+ }_{ (aq) } } \)
or E = E° + \(\frac{RT}{nF}\) loge \(\frac { M^{ n+ }_{ (aq) } }{ M_{ (s) } } \)
In changing loge in log10
or E = E° + \(\frac{2.303}{nF}\) log10 \(\frac { M^{ n+ }_{ (aq) } }{ M_{ (s) } } \) [M(s) = 1]
or E = E° + \(\frac{2.303RT}{nF}\) log10[Mn+(aq)]
or E = E° + \(\frac{0.0591}{nF}\) log10 [Mn+(aq)].

Question 14.
Consider the reactions:
2S2O32-(aq) + I2(s) → S4O62-(aq) + 2I(aq)
S2O32-(aq) → 2SO42-(aq) + 4Br(aq) + 10H+(aq)
Why does the same reductant, thiosulphate reacts differently with iodine and bromine?
Answer:
Br2 is stronger oxidizing agent than I2, it oxidises SO32- to SO42- i. e. from +2 state to +6 state of sulphur. However, I2 being weaker oxidizing agent, oxidises S2O32- to S4O62- ion i.e. from + 2 to + 2.5 state of sulphur.

Redox Reactions Long Answer Type Questions – I

Question 1.
What is standard hydrogen electrode? How it is prepared?
Answer:
Standard hydrogen electrode: This consists of gas at 1 atmospheric pressure bubbling over a platinum electrode immersed in 1 M HCl at 25°C (298 K) as shown in figure. The platinum electrode is coated with platinum black to atmospheric increase its surface. (MPBoardSolutions.com) The hydrogen electrode thus Pressure constructed forms a half cell which on coupling with any other half cell begins to work on the principle of oxidation or reduction. Electrode depending upon the 1 M H+solution circumstances works both as anode or cathode.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 13
Cell reaction of standard hydrogen electrode platinum electrode (SHE) when it acts as anode is
H2(g) → 2H+ + 2e
It is represented as
H2(g)(1 atm) Pt | H3O+(aq)(1.0 M)
When it acts as cathode, the cell reaction is
2H+ + 2e → H2(aq)
and it is represented as
H3O+(aq) (1.0 M) | H2(g) (1 atm) Pt
Standard hydrogen electrode (SHE) is arbitarily assigned a potential of zero.

Question 2.
On the basis of electrode potential explain which reaction is feasible:
Cu2+/Cu = 0.34 V, E°Zn2+/Zn = -0.76 V, E°Mg2+/Mg = 2.37 V, E°Fe2+/Fe = -0.74V

  1. Cu + Zn2+ → Cu2+ + Zn
  2. Mg + Fe2+ → Mg2+ + Fe.

Solution:
1. Cu + Zn2+ → Cu2+ + Zn
Cu2+/Cu = 0.34 V and E°Zn2+/Zn = – 0.76 V
In given cell, Cu oxidised to Cu2+. So Cu2+/Cu will act as anode and Zn2+/Zn acts as cathode.
cell = E°cathode – E°anode
cell = – 0.74 – (-2.37) = +1.63V
cell = +Ve, shows that the reaction is feasible.

2. Mg + Fe2+ → Mg2+ + Fe
Mg2+/Mg = 2.37 V and E°Cu2+/Cu = – 0.74 V
Mg oxidised to Mg2+ and acts as anode Mg2+/Mg.
Fe2+ reduced to Fe and acts as cathode Fe2+/Fe.
cell = E°cathode – E°anode
cell = – 0.74 – (-2.37) = +1.63 V

MP Board Solutions

Question 3.
While sulphur dioxide and hydrogen peroxide can act as oxidizing as well as reducing agents in their reactions, ozone and nitric acid act only as oxidants, why?
Answer:
In sulphur dioxide (SO2) and hydrogen peroxide (H2O2), the oxidation states of sulphur and oxygen are +4 and -1 respectively. Since, they can increase as well as decrease when there compounds take part in chemical reaction, they can act as oxidizing as well as reducing agents. For example,
Increase in O.N.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 14
In ozone (O3), the oxidation state of oxygen is zero while in nitric acid (HNO3), the oxidation state of nitrogen is +5. Since, both of them can undergo decrease in oxidation state and not an increase in its value, they can act only as oxidizing agents and not as reducing agents.

In ozone (O3), the oxidation state of oxygen is zero while in nitric acid (HNO3), the oxidation state of nitrogen is + 5. Since both them can undergo decrease in oxidation state and not an increase in its value, they can act only as oxidizing agents and not as reducing agents.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 15

Question 4.
How do you count for the following observation though alkaline potassium permanganate and acidic potassium permanganate both are used as oxidants, yet in manufacture of benzoic acid from toluene we use alcoholic potassium permanganate as an oxidant, why? Write a balanced redox equation for the reaction?
Answer:
Toluene can be oxidized to benzoic acid in acidic, alkaline and neutral medium by using potassium permanganate.

1. In acidic medium:
[MnO4(aq) + 8H+(aq) + 5e → Mn2+(aq) + 4H2O(l)] × 6
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 16
In the manufacture of benzoic acid alcoholic KMnO4 is more useful.
Alcohol if used as solvent will help in the formation of a homogeneous mixture between toluene (non – polar) and KMnO4 (ionic). Actually alcohol has non – polar alkyl group as well as polar OH group.

Question 5.
How the redox reactions are balanced by ion – electron method?
Answer:
The redox reactions are balanced by ion – electron method are as follows:
1. Indicate oxidation number of each element and identify the elements which undergoes change in oxidation number.

2. Indicate increase and decrease in oxidation number per atom. Multiply the increase or decrease in oxidation number with number of atoms undergoing the change.

3. Multiply the formula with suitable integer to equalise the increase and decrease in oxidation number.

4. Balance O atoms:
K2Cr2O7 + 6HCl + xHCl → 2KCl + 2CrCl3 + yCl2 + H2O + 6H2O

5. Balance H atoms:
K2Cr2O7 + 6HCl + 8 HCl → 2KCl + 2CrCl3 + 3Cl2 + 7H2O
Here x = 8 and y = 3 to balance Cl atoms
K2Cr22-O7 + 14 HCl → 2KCl + 2rCl3 + 3Cl2 + 7H2O.
Example 2. Cr2O72- + Fe2+ + H+ → Cr3+ + Fe3+ + H2O.
Solution:
Step 1. (Cr2O7)2- + Fe2+ + H+ → Cr3+ + Fe3+ + H2O.

Step 2.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 17

Step 3.
Multiply Fe by 6 to equalise increase or decrease in O.N.
Cr2O72- + 6Fe2+ + H+ → Cr3+ + Fe3+ + H2O

Step 4.
Balance atoms other than O and H
Cr2O72- + 6Fe2+ + H+ → 2Cr3+ + 6Fe3+ + H2O

Step 5.
Balance O atoms
Cr2O72- + 6Fe2+ + H+ → 2Cr3+ + 6Fe3+ + H2O + 6H2O

Step 6.
Balance H atoms
Cr2O72- + 6Fe2+ + 14H+ → 2Cr3+ + 6Fe3+ + 7H2O.

Question 6.
On the basis of electrode potential values given below? Determine reaction between reactants will occur or not?
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 18
Answer:
For feasibility of any reaction E° = +ve.
cell = E°cathode – E°anode
(a) Fe3+(aq) and I(aq):
2Fe3+ + 2I(aq) → 2Fe2+(aq) + 2I2g
Half cell reaction (oxidation)
2I(aq) → I2(g) + 2e E° = – 0.54 V
Reducion half cell,
2Fe3+(aq) + 2e → 2Fe2+(aq) E° = +0.77 V
Complete reaction,
2Fe3+(aq) + 2I(aq) → 2Fe2+(aq) + I2(g)cell = +0.23 V
E° = +ve, reaction is feasible.

(b) Ag+(aq) and Cu(s)2+:
2Ag(aq) + Cu(s) → Cu2+(aq) + 2Ag(aq)
Oxidation half reaction,
Cu(s) → Cu2+(aq) + 2e E° = – 0.34 V
Reduction half reaction,
2Ag+(aq) + 2e → 2Ag(s) E° = – 0.80 V
Complete reaction,
Cu(s) + 2Ag+(aq) → Cu2+(aq) + 2Ag(s)cell = +0.46 V

MP Board Solutions

Question 7.
Give the main characteristics of electrochemical series?
Answer:
The main characteristics of electrochemical series are:

  1. Tendency to loose electron becomes greater and the corresponding element or ion behaves as strong reducing agent if it has greater negative value of E°.
  2. The substances above hydrogen are weak oxidising agents and substances below it are strong oxidising agents.
  3. If the reducing agent of electrode pair is strong reducing agent, its oxidising agent is weak and when reducing agent of electrode pair is weak, its oxidising agent is strong.
  4. In series the reducing efficiency decreases from above to downwards.
  5. The more the positive value of E°(MPBoardSolutions.com) the stronger is its oxidising properties. In the series the oxidising power of cation decreases as we move upwards from downwards.
  6. In series the electropositive character of metals decreases from upwards to downwards.
  7. Along the series the electronegative character of non – metal increases from upward to downwards.
  8. The metals which come prior to hydrogen displaces hydrogen from acids,
  9. The metals which occupy higher position in the series displaces metals which come later in series from their salt solution.

Question 8.
Balance the equation by oxidation number method and identify the oxidising agent and reducing agent?
Cl2O7(g) → ClO2(aq) + O2(g).
Answer:
Oxidation number method:
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 19
Balance the increase and decrease in O.N. multiply H2O2 by 4,
Cl2O7 + 4H2O2 → ClO2 + O2
Balance atom other,
Cl2O7(g) + 4H2O2(aq) → 2ClO2(aq) + 4O2(g)
Balance ‘H’,
Cl2O7(g) + 4H2O2(aq) + 2OH(aq) → 2ClO2(aq) + 4O2(g) + 5H2O.

Question 9.
Whenever a reaction between an oxidizing agent and a reducing agent is carried out compound of lower oxidation state is formed if the reducing agent is ¡n excess and compound of higher oxidation state is formed if the oxidising agent is in excess. Justify this statement by giving three illustrations?
Answer:
1. Let us consider the reaction between carbon and oxygen.
Reducing agent + Oxidising agent
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 20

2. Let us consider the reaction between white phosphorous (P4) and Cl2(g)
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 21

3. Let us consider the reaction between sulphur and oxygen.
Reducing agent + Oxidising agent
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 22

Redox Reactions Long Answer Type Questions – II

Question 1.
Balance the following reaction by ion – electron method:
Cr2O72- + Fe2+ + H+ → Cr+3 + Fe+3.
Solution:
Cr2O72- + Fe2+ → Cr+3 + Fe+3 + H2O

1. Write the oxidation number of each atom in skeleton equation.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 23
Species undergo change is Cr and Fe.

2. Dividing the equation into two half reaction.
Cr2O72- → Cr+3 (Reduction half)
Fe+2 → Fe+3 (Oxidation half)

3. Balancing reduction half:
(a) Balancing Cr atom,
Cr2O72- → 2Cr+3

(b) Adding e to make up the difference in O.N.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 25
(Since each Cr atom gain 3e ∴ for 2 Cr atom 6e)

(iv) Balancing oxidation half:
(a) Balancing Fe atom (Balanced)
(b) Adding e to make up the difference in O.N.
Fe+2 → Fe+3 + e

(v) Balancing ‘O’ atom,
Cr2O72- + 6e → 2Cr+3 + 7H2O
Fe+2 → Fe+3 + e

(vi) Balancing H by adding H+ ions to the side which is deficient on H atoms.
Cr2O72- + 6e + 14H+ → 2Cr+3 + 7H2O
Fe2+ → Fe+3 + e

(vii) Equalising e,
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 27

Question 2.
To determine the oxidising power/reducing power in a solution which method is used? Explain with example?
Answer:
Determination of standard electrode potential ; To determine electrode potential of an electrode, a cell is setup using this electrode and standard hydrogen electrode. The EMF of the cell is measured with the help of a voltameter (or more accurately by potentiometer). (MPBoardSolutions.com) The electrode potential of hydrogen electrode is taken as zero. Therefore, the E.M.F. of such a cell will directly give the value for electrode potential for the given electrode at standard condition (298 K, 1M, 1 atm pressure).

1. If the deflection in galvanometer is towards metal electrode (experimental electrode) then it is anode (-ve terminal) of the cell. It is allotted negative value of standard reduction electrode potential.
For example, in the determination of E° value of zinc, zinc acts as anode and has got negative value of E°.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 28
cell = E°cathode – E°anode
∴ 0.76 V = 0.00V – E°zn+2/Zn = -0.76V

Question 3.
What is oxidation number? Write its main rules of determination?
Answer:
Oxidation number of an element is defined as, “The residual charge left on its atom when all the other atoms are removed from the molecule as ions”. Atoms can have positive, negative or zero oxidation state depending upon their state of combination. (MPBoardSolutions.com) In fact, oxidation number is the charge assigned to the atom in a species according to some rules. It is also known as oxidation state.

Rules for assigning oxidation number:
The assignment of oxidation numbers is arbitrary and is usually governed by the following conclusions:

1. The oxidation number of an element in free state i. e., elementary state is regarded as zero. For example,
Oxidation state of hydrogen in H2 = 0
Oxidation state of helium in He = 0
Oxidation state of sulphur in S8 = 0
Oxidation state of sodium in Na = 0
Oxidation state of magnesium in Mg = 0

2. In a compound, the more electronegative elements are assigned negative (-) oxidation state and less electronegative elements are assigned positive (+) values. For example, in HCl as chlorine is more electronegative than hydrogen its oxidation state will have negative value while that of hydrogen will be positive.

3. In the formula of a compound, the sum of the negative oxidation states is equal to the sum of the positive oxidation states.

4. The sum of oxidation number of all the atoms in a neutral molecule is taken as zero.

5. Hydrogen has an oxidation state +1 in compounds like H2S, H2O, HCl, etc. Exceptionally it has the oxidation number -1 in metallic hydrides, such as NaH, CaH2, etc.

6. Oxygen is usually assigned oxidation number -2, except in H2O2 and in oxide of fluorine [F2O], in which the oxidation number -1 and +2 respectively. In all, oxidation number of oxygen is -1.

7. Fluorine being the most electronegative element is assigned oxidation number -1 in all its compounds. Other halogens also show -1 oxidation number.

8. The number of monoatomic ion in an ionic compound is equal to its electric charge. Thus, the elements of group IA of the periodic table (Li, Na, K, Rb, Cs) all have oxidation number + 1, while the alkaline earth metals of group IIA (Ca, Sr, Ba) have oxidation number + 2.

MP Board Solutions

Question 4.
Balance the following reaction by ion – electron method?
Answer:
Ion – electron method:
Oxidation half equation is:
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 29
The oxidation number is balanced by adding 2 electrons as:
H2O2(aq) → O2(g) + 2e
The charge is balanced by adding 2OH ions as:
H2O2(aq) + 2OH(aq) → O2(g) + 2e
The oxygen atoms are balanced by adding 2H2O as:
H2O2(aq) + 20H(aq) → O2(g) + 2H2O(s) + 2e ……………… (1)
The reduction half equation is:
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 30
The Cl atoms are balanced as:
Cl2O7(g) → 2ClO2(aq)
The oxidation number is balanced by adding 8 electrons as:
Cl2O7(g) + 8e → 2ClO2(aq)
The charge is balanced by adding 6OH as:
Cl2O7(g) + 8e → 2ClO2(aq) + 6OH(aq) ………………………… (2)
The balancing equation can be obtained by multiplying equation (1) with 4 and adding equation (2) to it as:
Cl2O7(g) + 4H2O2(aq) + 2OH(aq) → 2ClO2(aq) + 4O2(g) + 5H2O(l)

Question 5.
Write the main uses of electrochemical series?
Answer:
Electrochemical series:
When different elements and ions are arranged in increasing order of their standard electrode potentials, a series is obtained which is called electrochemical series or activity series.
The uses of electrochemical series are:
1. Electropositive character of metal:
Metal which loses electron easily from its outermost shell shows high electropositive character while the atom which loses electron with difficulty shows least electropositive character. In electrochemical series, Li shows maximum electropositive character while fluorine shows least electropositive character.

2. Comparison of reactivity of metals:
Metal having negative value of E° loses electron easily. Hence, greater the negative value of E° more is the reactivity and reducing character of a metal.

3. Knowledge of oxidizing agent and reducing agent:
Substance which gains electron and shows maximum value of standard electrode potential E° is strongest oxidizing agent. On the basis of this F is strongest oxidizing agent while Li is weakest oxidizing agent.

4. Displacement of elements:
Metal having greater tendency to form ion displaces others. Therefore, elements getting priority in the series displace ions of the elements following them. For example. When Cu turnings are added to AgNO3 solution, Ag gets precipitated.
2AgNO3(aq) + Cu(s) → Cu(NO3)2(aq) + 2Ag(s)

5. Electroplating:
Process of depositing layer of gold or silver on copper, brass, iron etc. is called electroplating. It makes articles lustrous and attractive.

6. Metallurgy:
More reactive metal displaces less reactive metal from their aqueous salt solution.

7. Corrosion of metals:
Destruction of metals due to action of chemicals, air and moisture is called corrosion.
e.g., iron rust in moist air. To prevent this a layer of more reactive metal like Sn or Zn is deposited on iron. Coating iron with zinc is called galvanization.

MP Board Solutions

Question 6.
What information did you get from the following reaction:
(CN)2(g) + 20H(aq) → CN(aq) + CNO(aq) + H2O(l)
Answer:
(CN)2(g) + 2OH(aq) → CNO(aq) + H2O(l).
1. Let the O.N. of C in (CN)2 = x
2x + 2 (-3) = 0
or x = +3.

2. Let the O.N. of C in CN = x
x + (-3) = -1
or x = +2.

3. Let the O.N. of C in CNO = x
x + (-3) + (-2) = -1 or
x = +4.
MP Board Class 11th Chemistry Important Questions Chapter 8 Redox Reactions img 31
Following informations obtained from above equation:

  1. It is a disproportionation reaction.
  2. The reaction occurs in basic medium.
  3. O.N. of N in (CN)2 is -3 and that in CN is -2 and in CNO it is -5.
  4. Cyanogen (CN)2 gets simultaneously reduced to CN ion as well as oxidized to cyanate, CNO ion.

Question 7.
The Mn3+ ion is unstable in solution and undergoes disproportionation to give Mn2+, MnO2 and H+ ion. Write a balanced ionic equation for the reaction?
Answer:
The reaction is:
Mn3+(aq) → Mn2+(aq) + MnO2(s) + H+(aq)
Reduction half cell:
Mn3+(aq) + e → Mn2+ …………. (1)
Oxidation half cell:
Mn3+(aq) → Mn+4 + O2(s) + e
To balance the equation added 4H+ in right and in left 2H2O is added:
Mn3+(aq) + 2H2O(l) → MnO2(s) + e + 4H+(aq) ……………….. (2)
Adding eqns. (1) and (2),
2Mn3+(aq) + 2H2O(l) → Mn2+ + MnO2(s) + 4H+(aq)
This is last equation balanced (disproportionation reaction).

MP Board Class 11 Chemistry Important Questions

MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry

MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry

Electrochemistry Important Questions

Electrochemistry Very Short Answer Type Questions

Question 1.
Can you store copper sulphate solutions in a zinc pot? (NCERT)
Answer:
No, copper sulphate solution cannot be stored in a zinc container because value of standard electrode potential of zinc is less than of copper. Thus, zinc is a stronger reducing agent than copper.
Zn + Cu2+ → Zn2+ + Cu.
Ecell = Fcathode – Fanode
= 0.34-(-0.76)
= +1.1V.

Question 2.
Why does the conductivity of a solution decrease with dilution? (NCERT)
Answer:
Because number of ions per cm3 decreases.

Question 3.
Explain, how rusting of iron is envisaged as setting up of an electrochemical cell? (NCERT)
Answer:
Formation of carbonic acid takes place on the surface of iron
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 1

Question 4.
Arrange the following metals in the order in which they displace each other from the solution of their salts. Al, Cu, Fe, Mg and Zn. (NCERT)
Answer:
A metal with lesser standard potential (more reactive) can displace the other metal from solution of its salts.
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 2

Question 5.
Write the definition of Electrochemical cell.
Answer:
System in which chemical energy is converted to electrical energy by oxidation reduction is known as electrochemical cell or voltaic cell.

Question 6.
What is Electrode potential?
Answer:
The potential difference developed between the electrodes and electrolyte of an electrolytic cell is known as Electrode potential.

Question 7.
What is a strong electrolyte ? Write two examples.
Answer:
Electrolyte which completely dissociate in aqueous solution are known as strong electrolyte.
Example : NaCl, KCl, NH4Cl etc.

MP Board Solutions

Question 8.
What is meant by standard electrode potential?
Answer:
Standard electrode potential (E°) of a half cell is the potential difference when one electrode is dipped in molar solution of its ion at 298 K. If electrode is gaseous the pressure of gas must be one atmosphere. In IUPAC system, reduction potential are known as standard electrode potential.

Question 9.
Write Ohm’s law.
Answer:
According to Ohm’s law, “It states that potential difference across the conductor is directly proportional to the current (I) flowing through it” i.e.,
Mathematically, it can be written as:
I ∝ V
V = IR (R = Resistance, unit = ohm, Q)

Question 10.
What is cell constant?
Answer:
For a conductivity cell, the ratio of distance between two electrodes (l) and area of cross-section of electrode (A) is called as cell constant.
Cell constant = \(\frac {1}{A}\) or x = \(\frac {1}{A}\)
Unit of cell constant = cm-1

Question 11.
What is galvanization? Explain.
Answer:
Iron is coated with the layer of zinc to protect it from rusting. This process is known as galvanization. The galvanized iron articles keep their lustre due to the coating of invisible protective layer of basic zinc carbonate, (ZnCO3) or zinc hydroxide (Zn(OH)2).

Question 12.
Why is it not possible to determine the Electrode potential of a single half cell?
Answer:
Because Electromotive force of two electrodes containing a complete circuit can be measured.

MP Board Solutions

Question 13.
Write the unit of specific conductance.
Answer:
ohm-1metre-1= Ω-1m-1 = Sm-1

Question 14.
What is the relation between equivalent conductance and specific conductance?
Answer:
Λceq = \(\frac {1ooo×k}{c}\)

Electrochemistry Short Answer Type Questions

Question 1.
Define conductivity and molar conductivity for the solution of an electrolyte. Discuss their variation with concentration. (NCERT)
Answer:
Conductivity:
Conductivity of a solution is defined as the conductance of a solution of 1 cm length and having 1 sq. cm as the area of cross-section.

Molar conductivity:
Molar conductivity of a solution at a dilution (V) is the conductance of all the ions produced from one mole of the electrolyte dissolved in V cm3 of the solution when the electrodes are one cm apart and area of cross – section of the electrodes is so large that the whole of the solution is contained between them. It is usually represented by Λm.

Variation with concentration:
The conductivity of a solution (Both for strong and weak electrolytes) decreases with decrease in concentration of the electrolyte i.e., on dilution. This is due to the decrease in the number of ions per unit volume of the solution on dilution. The molar conductivity of a solution increase in the decrease in concentration of the electrolyte i.e., on dilution. This is due to the decrease in the number of ions per unit volume of the solution on dilution.

The molar conductivity of a solution increases with decrease in concentration of the electrolyte. This is because both number of ions as well as mobility of ions increases with dilution. When concentration approaches zero, the molar conductivity is known as limiting molar conductivity.

Question 2.
What is salt bridge ? Write its two functions.
Answer:
‘U’ shaped tube filled with KCl or KNO3 in Agar – Agar solution or gelatin, is known as salt bridge. It connects the two half cell.

Functions:

  1. It allows the flow of current by completing the circuit.
  2. It maintains the electrical neutrality.

Question 3.
Write difference between Metallic conduction and Electrolytic conduction.
Answer:
Differences between Metallic conduction and Electrolytic conduction:
Metallic conduction:

  • Metallic conduction takes place by movement of electrons.
  • There is no chemical change.
  • There is no transfer of matter.
  • In metallic conduction conductivity decreases with increase in temperature.

Electrolytic conduction:

  • Electrolytic conduction takes place by movement of ions.
  • Due to chemical change decomposition of electrolyte takes place.
  • Transfer of matter takes place as ions.
  • In electrolytic conduction conductivity
  • increases with increase in temperature.

Question 4.
What are the difference between emf (Cell potential) and potential difference:
Answer:
Differences between EMF (Cell potential) and Potential difference
EMF (Cell potential):

  • It is the potential difference between the two terminals of the cell when no current is flowing in the circuit, i.e., in an open circuit.
  • It is the maximum voltage which can be obtained from a cell.
  • It can be measured by potentiaometrie method.
  • Work performed by electromotive force is the maximum work done by a cell.
  • It is responsible for continuous flow of current in electric circuit.

Potential difference:

  • It is the difference of the electrodes potentials of the two electrodes when the cell is sending current through the circuit.
  • It is the less than the maximum voltage as it is the difference of electrode potential.
  • It can be measured by simple voltmeter also.
  • Work performed by potential difference is less than the maximum work done by a cell.
  • It is not responsible for the continuous flow of current in circuit.

Question 5.
What is specific conductance? Give its unit.
Answer:
Specific conductivity:
The reciprocal of resistivity is called specific conductivity. It is defined as the conductance between the opposite faces of one centimeter cube of a conductor. It is denoted by K (kappa).
Thus.
K = \(\frac {1}{ρ}\) (∵ ρ = \(\frac {RA}{l}\)
K = \(\frac {1}{R}\) × \(\frac {1}{A}\)
where, R = Resistance, A = Cross – sectional area of electrodes and l = Length between the electrodes.
Unit = K = \(\frac {1}{ohm}\) × \(\frac { cm }{ { cm }^{ 2 } } \) = ohm-1 cm-1
S.I. Unit Scnf1 or Ohm-1 cm-1.

MP Board Solutions

Question 6.
What is resistivity of any solution?
Answer:
Resistivity:
When current flow in the solution through two electrodes the resistance is proportional to length and inversely proportional to cross – sectional area A.
R ∝\(\frac {l}{A}\)
or R = ρ\(\frac {l}{A}\)
or ρ = R × \(\frac {A}{l}\)
The constant p (rho) is called resistivity or specific resistance.
Unit: If Z is expressed in cm, A in cm2 and R in ohm, the unit of resistivity will be
\(\frac { c{ m }^{ 2 }\times ohm }{ { cm } }\) = ohm cm
If l = 1 cm and A = 1 cm2 then ρ = R
or Resistivity of any solution is the resistance of 1 cm cube.

Question 7.
What is equivalent conductance?
Answer:
Equivalent conductance:
“Conductance of total ion produced by one gram equivalent of electrolyte in the solution is called equivalent conductance.” It is denoted by Λeq.
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 3

Question 8.
What is molar conductance?
Answer:
Molar Conductivity:
The molar conductivity of a solution at definite concentration of (or dilution) and temperature is the conductivity of that volume which contains one mole of the solute and is placed between two parallel electrodes 1 cm apart and having sufficient area to hold whole of the solution. It is denoted by Λm.
Mathematically,
Λ m=k × V .. (1)
Where, V is the volume in ml in which one gram mole of substance is dissolved.
If M is molarity or m moles are dissolved in 1000 ml.
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 4

Question 9.
Define cell constant. Develop a relation between specific conductance and cetfconstant.
Answer:
Cell constant:
In any conductive cell, the distance between two electrodes and surface area of .electrode A are constant. The ratio of l and a is called cell constant i.e.
cell constant = \(\frac { l(cm) }{ a{ ({ cm) }^{ 2 } } }\)
Unit of cell constant is cm-1 and it is generally expressed by x.

Relation between specific conductance and cell constant:
For a conductor, the resistance R is directly proportional to length R and inversely proportional to area of crosssection of electrolyte.
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 5

Question 10.
What are the factors which influence the electrical conductance of electrolytes?
Answer:
The main factor which influence the electrical conductivity are following :
1. Temperature : It influence following interactions.

  • Interionic attractions : It depends upon the solute-solute interactions. Which is found between the ions of solute.
  • Solvation of ions : It depends upon solute-solvent interactions. It is relation between ions of solute and solvent molecules.
  • Viscosity of solvent : It depends upon solvent-solvent interactions. Solvent molecules are related with each other.

With increase in temperature all these three effects decrease and average kinetic energy of ions increases. Thus, with increase of temperature, resistance of solution decreases and hence conductance increases.

2. Nature of electrolyte:
The conductance of solution depends upon the nature of electrolyte. On the basis of conductance measurement electrolytes are classified as strong electrolyte and weak electrolyte. Strong electrolytes have high value of conductance even at higher concentration also.

3. Dilution or concentration:
It is main factor which influence electrical conductance. Effect of dilution or concentration can be studied indivisually in equivalent conductance, specific conductance and molar conductance. But for a general concept of electrical conductance of solution as the concentration is lowered or dilution increases, electrical conductance of whole solution increases.

Question 11.
What is an Electrolytic cell and how does it work?
Answer:
Electrolytic cells:
In these cells electric current is supplied through an external source, as a result of which chemical reactions take place which is called electrolysis like Electrolysis of water, NaCl, Al2O2 etc. For example in Solvay trough cell electrode is immersed in sodium chloride solution and electric current is passed due to which NaCl electrolyses. At mercury cathode sodium is released and at anode chlorine is released. Sodium forms amalgam with mercury and is taken out of the cell.
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 6
Electrolysis : NaCl → Na+ + Cl

At cathode : Na+ + e → Na
Na + Hg → (Na – Hg) Amalgam

At anode : Cl – e → Cl
Cl + Cl → Cl2
In electrolytic cell, electricity is supplied through an external source. Thus, positive pole is anode and negative pole is cathode.

MP Board Solutions

Question 12.
What is meant by electromotive force of an electrochemical cell?
Answer:
The difference in electrode potentials of the two electrodes of an electrochemical cell is known as electromotive force or cell potential. It is expressed in volt. Due to difference in potential electric current flows from an electrode of lower potential to an electrode of higher potential. EMF of the cell can be expressed in terms of reduction potential as :

Cell potential = Standard electrode potential of R.H.S. electrode – Standard electrode potential of L.H.S. electrode
Thus, Ecell = Eredn. (right) – Eredn. (left)
Ecell = Eredn.(cathode) – Eredn.(anode)
EMF of a cell is measured by connecting the voltmeter between the two electrodes of a cell. EMF of a cell depend on the concentration of solutions of both half cells and nature of the two electrodes. For example, In Daniel cell, concentration of CuSO4 and ZnSO4 solutions in the two half cells is 1M and at 298 K EMF of the cell is 1.10 volt.

Question 13.
What is electrochemical series? Write its application.
or, Write application and characteristics of Electrochemical series.
Answer:
The series in which elements are arranged in increasing order of standard electrode potential is known as electrochemical series.

Applications of Electrochemical Series :

1. Determination of EMF of cell:
EMF of a cell is the difference between standard reduction potential E° of its cathode and anode.
cell = E°cathode – E°anode
If e.m.f. is positive, then the cell reaction proceeds in the required direction and if e.m.f of the cell is negative the cell reaction proceeds in the opposite direction.

2. Calculation of Equilibrium constant of cell:
Equilibrium constant k of the cell can be calculated by determining the e.m.f of the cell by the help of Electrochemical series.
Characteristics:

  • Metals which are above hydrogen in the series react with acids to produce hydrogen gas.
  • This series represents the standard electrode potential elements i.e, tendency to accept electrons. Elements of negative E° possess the tendency to loose electron.
  • Elements which come before in the series displace the metals placed below the series, from their salts.
  • At the top of the series strongly reducing elements are present because they possess the tendency to loose electrons.
  • Example : Li and below strongly oxidizing like F possess the tendency to accept electron.

Question 14.
What do you understand by standard potential of a half cell? How is the standard potential of a half cell determined?
Answer:
Standard electrode potential E° of an electrode (half cell) is that value of potential when all the substances are at one atmospheric pressure and activity of the species present in the form of reactant and product is one unit. Standard electrode potential (E°) is measured by the use of potentiometer.
cell = E°R – E°L = E°half cell – E°ref

Question 15.
Differentiate between Electrochemical cell (Galvanic cell) and Electrolytic cell.
Answer:
Differences between Electrochemical and Electrolytic cells:
Electrochemical cell:

  • It is a device to convert chemical energy into electrical energy.
  • It consists of two electrodes in different compartments joined by a salt bridge.
  • Redox reactions occurring in the cell are spontaneous.
  • Free energy decreases with operation of cell, i.e., ∆G <0.
  • Useful work is obtained from the cell.
  • Anode works as negative and cathode as positive electrodes.
  • Electrons released by oxidation process at anode go into external circuit and pass to cathode.
  • To set – up this cell, a salt bridge/porous pot is used.

Electrolytic cell:

  • It is a device to convert electrical energy into chemical energy.
  • Both the electrodes are in same solution.
  • Redox reactions occurring in the cell are non – spontaneous.
  • Free energy increases with operation of cell, i.e., ∆G >0.
  • Work is done on the system.
  • Anode is positive and cathode is negative.
  • Electrons enter into cathode electrode from external source and leave the cell at anode.
  • No salt bridge is used in this cell.

Electrochemistry Long Answer Type Questions

Question 1.
What is standard hydrogen electrode? How is it prepared?
Answer:
Standard hydrogen electrode:
This consists of gas at 1 atmospheric pressure bubbling over a platinum electrode immersed in 1 M HCl at 25°C (298 K) as shown in figure. The platinum electrode is coated with platinum black to increase its surface. The hydrogen electrode thus constructed forms a half cell which on coupling with any other half cell begins to work on the principle of oxidation or reduction. Electrode depending upon the circumstances works both as anode or cathode.
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 7
Cell reaction of standard hydrogen electrode (SHE) when it acts as anode is
H2(g) → 2H2+ + 2e
It is as represented as
H2(g)(1 atm) Pt |H3O+aq(1.0M)
When it acts as cathode, the cell reaction is
2H+ + 2e → H2(aq)
and it is represented as
H3O+(aq)(1.0M)|(latm)Pt
Standard hydrogen electrode (SHE) is arbitrarily assigned a potential of zero.

Question 2.
Derive Nernst Equation for single electrode potential.
Answer:
Value of standard electrode potential given in electrochemical series is applicable only when the concentration of electrolyte is 1M and temperature is 298 K. But in electrochemical cells the concentration of electrolyte is not definite and electrode potential depends on concentration and temperature. In such condition single electrode potential can be expressed by Nernst equation.
For a reduction half reaction, Nernst equation can be expressed as follows:
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 8
Where, E = Reduction electrode potential
E° = Standard electrode potential (Mn++concentration 1M and at 298 K)
R = Gas constant = 831 JK-1mol-1, T = Temperature (in Kelvin) = 298 K
n = Valency of metal ion, F = 1 Faraday (96,500 coulomb)
On substituting the values : E = E°+\(\frac {0.059}{n}\) log10[M+] … (2)
Equation (2) is Nemst equation for single electrode potential.

Question 3.
Write the Faraday’s laws of electrolysis.
Answer:
Faraday’s first law of electrolysis:
The law states that, “The mass of any substance deposited or liberated at any electrode is directly proportional to the quantity of electricity passed.”
Thus, if W gm of the substance is deposited on passing Q coulomb of electricity, then W ∝Q or W = ZQ
Where, Z is a constant of proportionality and is called electrochemical equivalent of the substance deposited. If a current of I ampere is passed for t second, then Q = I x t. So that,
W = Z x Q = Z x l x t
Thus, if Q = 1 coulomb, I = 1 ampere and t = 1 second, then W = Z. Hence, electrochemical equivalent of a substance may be defined as, “The mass of the substance deposited when a current of one ampere is passed for one second.”
As one Faraday (96500 C) deposits one gram equivalent of the substance, hence electrbchemical equivalent can be calculated from the equivalent mass.
i.e., Z = \(\frac {Equivalent mass of the substance}{96500}\)

Faraday’s second law of electrolysis:
It states that, “When the same quantity of electricity is passed through solutions of different electrolytes connected in series, the weight of the substances produced at the electrodes are directly proportional to their equivalent mass.”

For example, for CuSO4 solution and AgNO3 solution connected in series, if the same quantity of electricity is passed, then
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 9

Question 4.
What is rusting of iron? Describe Electrochemical theory of rusting. An^Corrosion : Process by which the layers of undesirable compounds are formed on the surface of a metal on its exposure to atmospheric condition are called corrosion. Rusting of iron is an example of corrosion, chemically it is Fe2O3xH2O.

Electrochemical theory of rusting :
Anode reaction:
On one spot of iron sheet, oxidation takes place and this spot behaves as an anode.
Fe(s) → Fe2+(aq) + 2e; E° = + 0.44 V.
The electrons which are released at this spot travel through the metal and reach another spot on the metal which acts as cathode. These electrons cause the reduction of oxygen in the presence of hydrogen ions (H+). H+ ions are formed due to decomposition of carbonic acid formed by dissolution of CO2 in H2O.
H2O + CO2 → H2CO3
H2CO3 ⇌ 2H+ +CO32-+

Cathode reaction:
O2(g) + 4H+(aq) → 2H2O; E° = 1.23V

Overall reaction:
2Fe(s) + O2(g) + 4H+(aq) → 2Fe2+ +2H2O(l); E°cell = 1.67V

Fe2Fe2+ ion formed travel on the surface of article and react with more oxygen in the presence of H2O. This results in the formation of ferric oxide.

4Fe2+aq + O2(g) + 4H2O(l) → 2Fe2O3 + 8H+aq

Water present causes the hydration of ferric oxide formed.
Fe2O3 + XH2O → Fe2O3.xH2O (rust) Thus, rust is formed.

MP Board Solutions

Question 5.
What is Kohlrausch law? Give its two applications.
Answer:
Kohlrausch in 1875 gave a generalisation known as Kohlrausch’s law, “At infinite dilution when the dissociation of the electrolyte is complete, each ion makes a definite contribution towards molar conductance of the electrolyte irrespective of the nature of the other ion with which it is associated.”
Or
“The value of molar conductance at infinite dilution is given by the sum of the contributions of ions (cation and anion).”
Mathematically,
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 10
Where, λ+ and λ are ionic contributions or ionic conductances of cation and anion while v+ and vare the number of cations and anions in the formula unit of electrolyte.

Applications of Kohlrausch’s law:
(i) Calculation of molar conductance at infinite dilution for weak electrolytes :
Molar conductance or equivalent conductance of weak electrolytes cannot be obtained graphically by extrapolation method, since these are feebly ionized. Kohlrausch’s law enables indirect evaluation in such cases. For example, molar conductances of acetic acid can be obtained from the knowledge of molar conductances at infinite dilution of HCl, CH3COONa and NaCl which are strong electrolytes. From Kohlrausch’s law, it is clear that
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 11

(ii) Determination of degree of dissociation:
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 12

Question 6.
Draw a labelled diagram of Daniel cell and explain ceLl reaction.
Or, Draw a labelled diagram of electrochemical cell and write cell reaction.
Answer:
Electrochemical cell:
In the redox reactions, the transfer of electrons between oxidizing and reducing agents occurs through wire and thus chemical energy changes into electrical energy. The device on which chemical energy changes into electricaL energy is called electrochemical cell. These are also known as galvanic or voltaic cells. Working of these cells can be understood with the example of Daniel cell.
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 13
Daniel çell:
In this cell, Zn rod is dipped in ZnSO4 solution and Cu rod in copper sulphate solution. Both solutions are connected through KCL salt bridge. When Zn and Cu electrodes are connected by wire and galvanometer, flow of electrons from Zn to Cu occurs. Zinc atoms change into Zn2+ and electrons reach at Cu electrode, where Cu2+ changes into Cu metal and this copper deposits on electrode.
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 14

Electrochemistry Numerical Questions

Question 1.
Calculate the potential of hydrogen electrode in contact with a solution whose pH is 10. (NCERT)
Solution:
If pH of solution is 10 means its [H+] ion concentration is 10-10 M.
Using, Ecell = E°cell – \(\frac {0.059}{n}\) log\(\frac { 1 }{ [{ H }^{ + }] }\)
Here E°cell = 0, n =2, [H+] = 10-10
∴Ecell = 0 – \(\frac {0.059}{2}\) log \(\frac { 1 }{ [{10}^{ -10 }] }\) = -0.59V

Question 2.
Calculate the standard cell potentials of galvanic cells in which the following reactions take place : (NCERT)
1. 2Cr(s) + 3Cd2+(aq) → Cr3+(aq) + 3Cd
2. Fe2+(aq) +Ag+(aq) → Fe3+(aq) + Ag(s). Calculate the ∆rG°, and equilibrium constant of the reactions.
Solution:
1. E°cell = E°Ecathode – E°Eanodg
= – 0.40 -(-0.74) = +0.34V
∆G° = -nFE° = -6 x 96500 x 0.34
= -196860J = -196.86kJmol-1
∆G° =-2.303 RT log K
– 196860 =-2.307 x 8.314 x 298 log K
or log K = 35.5014 or K
= Antilog 34.5014 = 3.19 x 1034

2. E°cell = E°Ecathode – E°Eanodg
= 0.80 – (0.77) = +0.03V
∆G° = -nFE° = -1 x 96500 x 0.03
= -2895Jmol-1
= – 2-895 kJmol-1
∆G° = -2-303 RT log K
– 2895 Jmol-1 = -2.303 x 8.314 x 298 log K or
or K = Antilog of 0.5074 = 3.22.

MP Board Solutions

Question 3.
Using the standard electrode potentials given in Table 3.1 (in your Text-book), predict if the reaction between the following is feasible : (i) Fe3+(aq) and I(aq)
(ii) Ag+(aq) and Cus
(iii) Fe3+(aq) and Br(aq)
(iv) Agsand Fe3+(aq)
(v) Br2(aq) and Fe2+(aq). (NCERT)
Answer:
A reaction is feasible if EMF of the cell is +ve.
Cathode : At which reduction occurs.
Anode : At which oxidation occurs.
MP Board Class 12th Chemistry Important Questions Chapter 3 Electrochemistry 15

Question 4.
If specific conductance of 0.02 mol L-1 KCI solution at 298 K is 2.48 x 10-2-1cm-1, then calculate its molar conductance.
Solution:
K = 2.48 x 10-2 cm-1, C = 0.02 mol L-1
Λm = \(\frac { 1000k }{ { C }_{ m } }\)
= \(\frac { 1000×2.48×{ 10 }^{ -2 } }{ 0.02 }\)
= 124 Scm2 mol-1

Question 5.
What are weak electrolytes? Give one example. Find out molar conductivity of LiBr aqueous solution infinite dilution when joint conductance of Li-1 ion and Br-1 ion are 38.7 Scm2 mol-1 and 78.40 Scm2 mol-1 respectively.
Solution:
Weak electrolytes : These are the substances which dissociate only to a small extent.
Examples: CH3COOH,NH4OH
Λ LiBr = Λ Li+ + Λ Br
Given that,
Λ Li+ = 38.7Scm2 mol-1
Λ Br = 78.40 Scm2 mol-1
Λ LiBr = 38.7 + 78.40
Λ LiBr = 117.10Scm2mol-1

MP Board Solutions

Question 6.
What are strong electrolytes? Find out the molar conductivity of aqueous solution of BaCl2 at infinite dilution when ionic conductance of Ba+2 ion and Cl ion are 127.30 Scm2 mol-1 and 76.34 Scm2 mol-1 respectively.
Solution:
Strong electrolytes : These are substances which dissociate almost completely into ions under all dilutions.
Examples : NaCl,HCl,CH3COONa
Λ BaCl2 = Λ Ba2+ + 2 Λ Cl
Given that,
Λ = 127.30Scm2+mol-1
Λ Cl-1 = 76.34Scm2+mol-1
Λ BaCl2 =127.30+2(76.34)
= 127.30 + 152.68
= 279.98 Scm2+mol-1

MP Board Class 12th Chemistry Important Questions

 

MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions

MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions

Solutions Important Questions

Very Short Answer Type Questions

Question 1.
Write formula of van’t Hoff factor ‘i’
Answer:
van’t Hoff factor, i = \(\frac {Observed value of colligative property}{Calculated value of colligative property}\)

Question 2.
Write down van’t Hoff equation. Give formula used for calculating molecular mass with its help.
Answer:
van’t Hoff equation, πV = nRT
or π = \(\frac { nRT}{V}\)
or π = \(\frac { WRT}{MV}\)
or π = \(\frac { WRT}{πV}\)
Where, W is mass of solute, R is Solution constant, T is temperature, n is osmotic pressure and V is volume of Solution.

Question 3.
Define Normality.
Answer:
Number of gram equivalent of solute present in one litre of Solution: is called normality. It is represented by N.
Normality (N) = \(\frac {Number of gram equivalent of solute}{Volume of Solution: in litres}\)
or N = \(\frac {Mass of solute in grams }{Equivalent mass of solute}\) x \(\frac { 1000}{ Volume of Solution: in ml }\)
∵ [No. of gram equivalent =\(\frac {Mass of solute in grams}{Equivalent mass of solute}\)]
Normality of a Solution changes with temperature as it is based on mass – volume relationship and volume changes with change in temperature.

MP Board Solutions

Question 4.
Differentiate between Molarity and Molality.
Answer:
Differences between Molarity and Molality :
Molarity (M):

  • Molarity involves the total volume of Solution.
  • In molarity, gram moles of solute are dissolved in 1 litre of Solution:.
  • Molarity changes with temperature because volume changes with temperature.

Molality (m):

  • Molality involves the mass of solvent.
  • In molality, gram moles of solute are dissolved in 1 kg of solvent. Here volume of Solution is not considered.
  • Molality is independent of temperature as it takes mass into consideration.

Question 5.
Explain the following term : Parts per million.
Answer:
Parts per million:
When a solute is present in very minute amounts (in traces), the concentration is expressed in parts per million abbreviated as ppm. The parts may be of mass or volume. It is the parts of a component per million parts of the Solution.
i.e., ppm = \(\frac {Mass of component A}{Total mass of Solution:}\) x 106
or ppm = \(\frac {Volume of component A}{Total volume of Solution:}\) x 106
Where, ppm. is the concentration of component A in parts per million.

Question 6.
What role does the molecular interaction play in a Solution: of alcohol and water? (NCERT)
Answer:
Alcohols dissolve in water due to formation of inter – molecular H – bonding with water.

Question 7.
Why do gases always tend to be less soluble in liquids as the temperature is raised? (NCERT)
Answer:
Gas + Liquid ⇌ Dissolved gas   ∆ H = – ve
The dissolution of a gas in a liquid is exothermic process. Therefore in accordance with Le – Chatelier’s principle with increase in temperature, the equilibrium shifts in back-ward direction. Therefore, the solubility of gas in Solution decreases with the rise in temperature.

Question 8.
State Henry’s. (NCERT)
Answer:
Henry’s law:
According to this law, ‘The mass of a gas dissolved per unit volume of a solvent at constant temperature, is proportional to the pressure of the gas with which the solvent is in equilibrium’. Let in unit volume of solvent, mass of the gas dissolved is m and equilibrium pressure be P, then m ∝P or m = KP, where K is a constant.

Question 9.
What are colligative properties?
Answer:
The physical properties of Solution which depend on the number of total particles present in Solution and the ratio of number of particles of solute not on the nature of solute particles are known as colligative properties.

Question 10.
Give an example of Solution: of solid in solid.
Answer:
Mixture of copper and gold is an example of solid in solid.

Question 11.
On dissolving ethanoic acid in benzene, experimental molecular mass of ethanoic acid is generally found to be double. Why?
Answer:
On dissolving ethanoic acid in benzene, it dimerizes due to the formation of hydrogen bond. Thus, its experimental value is generally found to be double.

Question 12.
What is vapour pressure? What is the effect of temperature on it?
Answer:
Pressure exerted by the vapours on the surface of a liquid at the state of equilibrium is known as vapour pressure. On increasing the temperature vapour pressure increases.

Question 13.
What type of deviation is represented by acetone and CS2 Solution?
Answer:
Positive deviation.

MP Board Solutions

Question 14.
Why is CaCl2 used for clearing off snow from the roads?
Answer:
On adding CaCl2, freezing point of water decreases. Therefore, CaCl2 is used for clearing off snow from the roads.

Question 15.
Based on solute – solvent interactions, arrange the following in order of increasing solubility in n – octane and explain :
Cyclohexane, KCl, CH3OH, CH3CN.
Answer:
For solubility we know Tike dissolves like’, n – octane is a non – polar solvent, hence non-polar compounds will be more soluble.
KCl < CH3OH < CH3CN < Cyclohexane.

Question 16.
What is transition temperature?
Answer:
The temperature at which the nature of solubility changes (i.e., first it increases, then decreases) is known as transition temperature. Solubility of sodium sulphate in water increases upto 32.4, then it starts decreasing. Thus, 32.4°C is the transition temperature of sodium sulphate.

Question 17.
Define molarity and molality. (NCERT)
Answer:
Molarity “is defined as number pf gram mole§ of solute dissolved in a litre of Solution. It is denoted by M.
Molality (M) = \(\frac {Mass of solute in gram per litre}{ Molecular mass of solute}\)

Molality is defined as number of moles of solute present in a kilogram (1000 gram) of solvent. It is denoted by m.
Molality (m) = \(\frac {Mass of solute in kg of solvent}{Gram molecular mass of solute}\)

Solutions Short Answer Type Questions

Question 1.
Write down Raoult’s law.
Answer:
The vapour pressure of a solution containing non – volatile solute is directly pro – portional to the mole fraction of the solute.
Mathematically,
\(\frac { { X }_{ A } }{ { X }_{ A }+{ X }_{ B } } \) = \(\frac { P{ A }^{ 0 } }{ { P }_{ A }+{ P }_{ B } } \)
Where, P0A = Vapour pressure of pure solvent, PA = Vapour pressure of solvent in solution, XB = Mole fraction of solute.

Question 2.
What is Azeotropic mixture? They are of how many types? (MP 2018)
Answer:
Azeotropic mixture is the mixture of liquids which boil at one temperature with-out any change in composition. For example, at the composition of 95 6% alcohol and 4.4% water. It form an azeotropic mixture which boils at 78.13°C. Components of this mixture cannot be separated fully by fractional distillation.

They are of two types :
1. Low boiling azeotropic mixture:
Such Solutions which represent positive deviation towards Raoulfs law i.e. their vapour pressure is high thus their boiling point is low are known as low boiling azeotropic mixture.

Example:

  • CS2 + Acetone
  • C2 H5 OH + n – hexane.

2. High boiling azeotropic mixture:
Such Solutions which represent negative deviation towards Raoult’s law i.e. their vapour pressure is low thus their boiling point is high are known as high boiling azeotropic mixture.

Example:

  • Acetone + Chloroform
  • Ether + Chloroform.

Question 3.
What are ideal and non – ideal Solutions? Explain with example.
Answer:
Ideal Solutions:
Ideal Solutions are those Solutions in which Raoult’s law can be applied completely for all concentrations of the Solutions and at all temperatures.

Condition for ideal Solutions are following :

  1. PA = PA0 X A and PB= P0B X B
  2. ∆Vmixing = 0 and
  3. ∆Hmixing = 0 and

Example:
C2H5Br + C2H5Cl, C6H6 + C6H5CH3, CCl4 + SiCl4etc.

Non – ideal Solutions:
Solutions in which Raoult’s law cannot be applied completely for all concentrations and temperatures are called non – ideal Solutions.
For these Solutions:

  1. PA ≠ P0A XA and pB ≠ P0BX
  2. ∆Vmixing ≠ 0 and
  3. ∆Hmixing ≠ 0 and

Example:
Benzene + Acetone, CHCl3 + HNO3 etc.

MP Board Solutions

Question 4.
Establish van’t Hoff Solution: equation. (MP 2018)
Answer:
Osmotic pressure of dilute Solution of a non – volatile solute is proportional to absolute temperature of the Solution at constant concentration. This is known as van’t Hoff law.
π ∝ T .. (1)
Derivation : Osmotic pressure n of a Solution: is directly proportional to a molar concentration.
π ∝ C
By eqn.(l) and eqn.(2) π ∝ C (T is constant) .. (2)
or π = RCT .. (3)
Where, R = Gas constant
or
C = \(\frac {1}{V}\)
π = \(\frac {RT}{V}\) .. (4)
πV = RT .. (5)
This is known as van’t Hoff Ideal Solution equation.

Question 5.
Define the following:

  1. Molal elevation boiling point constant.
  2. Molal freezing point depression constant. (MP 2018)

Answer:
1. Molal elevation boiling point constant : Molal elevation constant can be defined as “The elevation in boiling point of the Solution in which 1 gm of solute is dissolved in 1000 gm of solvent.”
∴ Elevation in boiling point
∆ Tb ∝ m
∆ Tb = Kbm
m= 1, ∆ Tb = Kb
Where Kb = Molal boiling point elevation constant.

2. Molal freezing point depression constant : Molal depression constant may be defined as “The depression in freezing point for 1 molal Solution: i.e., Solution: in which 1gm mole of solute is dissolved in 1000 gm of solvent.”
∴ Depression in freezing point
∆ Tf ∝ m
∆ Tf = kf
If m = 1, ∆ Tf = kf
Where Kf = Molal freezing point depression constant.

Question 6.
What is Raoult’s law? Establish its mathematical expression.
Or,
What is Raoult’s law? How can molar mass of a non – volatile solute be determined with its help?
Answer:
Raoult’s law:
For a Solution in which solute is non – volatile, the Raoulf s law may be stated as following :
“At any constant temperature, vapour pressure of solvent collected above the Solution of non – volatile solute, is directly proportional to the mole fraction of solute.” If a non – volatile solute is added to a volatile solvent, the vapour pressure of the solvent decreases. The vapour pressure of the solvent is directly proportional to its mole fraction. As the solute is non – volatile, the vapour pressure of the Solution (P) will be equal to the vapour pressure of the solvent (PA).
P = PA ∝ XA
or PA=KXA .. (1)
Where, K = Proportionality constant.
Apply eqn. (1) for pure solvent if XA= 1 and PA = P0A
Then, P0A = K x 1 .. (2)
Where, p0A= Vapour pressure of pure solvent.
Putting the value of K from eqn. (2) in eqn. (1),
PA=P0AXA .. (3)
Where, XA is the mole fraction of the solvent in the Solution.
The mole fraction of solute is represented as XB.
So, XA+XB=1
or XA= 1 – XB .. (4)
From eqns. (3) and (4),
PA= P0A(1-XB) = P0 – P0AXB
XB = \(\frac { { P }_{ A\quad }^{ 0 }-\quad { P }_{ A } }{ { P }_{ A }^{ 0 } } \)
P0A is lowering in vapour pressure and \(\frac { { P }_{ A\quad }^{ 0 }-\quad { P }_{ A } }{ { P }_{ A }^{ 0 } } \) is relative lowering in vapour pressure.

On the basis of equation (5) Raoult’s law can be defined as “The relative lowering in vapour pressure of a Solution containing non – volatile solute is equal to mole fraction of solute”.

MP Board Solutions

Question 7.
Give relation between elevation in boiling point and molecular mass of solute.
Answer:
Relation between elevation in boiling point and molecular mass of solute:
Suppose, WB gram of non – volatile solute dissolve in WA gram of solvent and the molecular mass of non – volatile solute is MB gram. Then, molality, m will be
MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions 1

Question 8.
What is van’t Hoff factor? How does it equation?
Answer:
van’t Hoff Equation : van’t Hoff equation
MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions 2

Question 9.
What are constant boiling mixture? Write three differences in Ideal solution and Non – ideal Solutions. (MP 2011,15,16)
Answer:
Constant boiling mixtures or azeotropic mixture. A Solution which distils with out change in composition is called azeotropic mixture.
Differences between Ideal and Non – ideal Solution:
MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions 3

Question 10.
Define the following :

  1. Reverse osmosis
  2. Isotonic Solution
  3. Semi – permeable membrane.

Answer:
1. Reverse osmosis:
It may be noted that if a pressure higher than the osmotic pressure is applied on the Solution the solvent will flow from the Solution into the pure solvent through the SPM. The process is called reverse osmosis.

2. Isotonic Solutions:
The Solution:s which have same osmotic pressure are called as isotonic Solution:s. For example, 0.91% Solution of NaCl called as saline water is isotonic with human blood corpuscles. That is why medicines are mixed with saline water before intravenous injections.

Osmotic pressure is a colligative property and depends on the number of solute particles in a Solution So, the isotonic Solution:s must have same number of solute particles in a given volume of Solution Consequently, the isotonic Solution:s are those which have same molality, if that the solute neither associate nor dissociate in the Solution.

3. Semipermeable membrane:
These are the membrane which allow the movement of the solvent molecules through them. The membrane appear to be continuous sheets or films. But they have very tiny holes or pores which are semimicro in nature. Through the holes, only the molecules of solvent can pass while those of bigger solute molecules cannot pass through.

Solutions Long Answer Type Questions

Question 1.
Write five differences in Solution: having Positive deviation and Negative deviation.
Answer:
Differences between Positive deviation and Negative deviation :
MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions 4

Question 2.
Explain in brief Berkeley and Hartley’s method of osmotic pressure measurement and state its uses.
Answer:
Berkeley and Hartley’s method:
In this method, pressure is applied over the Solution to stop the flow of solvent. This pressure is equivalent to osmotic pressure.
In this method, the apparatus consists of a strong vessel made up of steel in which porous pot is fitted. In the porous pot, copper ferrocyanide semipermeable membrane is deposited. The porous pot is fitted with a capillary tube on one side and a water reservoir on the other side. A piston and pressure gauge are fitted to the steel vessel.
MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions 5
The porous pot and steel vessel are filled with water and Solution respectively. Osmosis takes place and water moves into the steel vessel from the porous pot through the semipermeable membrane. This is shown by fall in water level in the capillary tube. This flow of water is stopped by applying external pressure on the Solution with the help of piston.

This method has the following advantages :

  1. It takes comparatively lesser time to determine osmotic pressure.
  2. Concentration of Solution: does not change, hence better results are obtained.
  3. As high pressure is not exerted over semipermeable membrane, it does not break.
  4. High osmotic pressure can be measured.

Question 3.
What is molal freezing point depression constant? Derive the formula to establish relation between molal freezing point depression constant and molecular mass of solute.
Or,
What is molal freezing point depression constant? Show that depression in freezing point is a colligative property. How can molecular mass of solute be determined from depression in freezing point?
Answer:
Molal freezing point depression constant is equal to depression in freezing point of the Solution when 1 gm mole is dissolved in 1000 gm of solvent. It is represented by i.e.,
Kf = \(\frac {depression in freezing point}{Number of moles}\)
or ∆ Tf = Kf x m
As Kf is molal freezing point depression constant, then
∆ Tf ∝m
Where, m = Number of moles dissolved in 1000 gm solvent.
Thus, depression in freezing point is proportional to molality of Solution. Molality is directly proportional to number or molecules of solute substance. Therefore, depression in freezing point is a colligative property.
Calculation of molecular mass of solute:
By determination of depression in freezing point, the Molecular mass of non – volatile solute can be determined.
For a Solution: of non – volatile solute,
∆Tf = Kf x m .. (1)
Let WB gram non – volatile solute is dissolved in wA gram solvent and molecular mass of solute is MB.
MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions 6

Question 4.
What is elevation in boiling points? How addition of a non – volatile solute elevates the boiling point of a solvent? Explain it with the help of graph diagram.
Answer:
The vapour pressure of the Solution:
containing a non – volatile solute is always less than that of pure solvent. Therefore, the Solution has to be heated to higher temperature so that its vapour pressure become equal to the atmospheric pressure. Thus, the boiling point of Solution (Tb)is always higher than the boiling point of solvent (Tb0). The difference Tb – Tb0 is called elevation in boiling point.
MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions 7
If we plot graph between temperature and vapour pressure of a pure solvent and its Solution, then following curve is obtained. Curve AB gives the vapour pressure for the pure solvent and the curve CD gives the vapour pressure of the Solution: at different temperature. At temperature Tb0 the vapour pressure of the solvent becomes equal to the atmospheric pressure hence it boils at Tb0.

Now, by the addition of non – volatile solute, lowering of vapour pressure of the Solution takes place. And to increase the vapour pressure of the Solution to become equal to atmospheric pressure, the temperature rises. Hence, at Tb the Solution boils. Thus, the boiling point is now elevated from Tb0 to Tb. The rise in temperature that results by the addition of a non – volatile solute in a solvent is termed as elevation in boiling point. It is represented by ∆Tb.
So, elevation in boiling point (∆Tb) = Tb – Tb0.

Question 5.
What are Non – Ideal Solution? How many types of are they? Explain with giving examples.
Answer:
Non – ideal Solutions:
Solutions in which Raoult’s law cannot be applied completely for all concentrations and temperatures are called non – ideal Solutions.
For these Solutions:

  1. PA ≠ P0A XA and pB ≠ P0BXB,
  2. ∆Vmixmg ≠ 0 and
  3. ∆Hmixmg ≠ 0 and

Non – ideal Solution are of two types :

1. Solutions showing positive deviations:
For such Solutions the total vapour pressure will be greater than the corresponding vapour pressure according to the Raoult’s law. The boiling point of such Solutions are lowered. Because interactions between the mol-ecules of Solution: is less than the interactions between pure solvents and solutes. Thus the vapour pressure greater than expected. In these type of Solution formed enthalpy and volume increases.
Characteristics:

  • PA > P0A XA and PB > P0B XB
  • ∆Vmixlng > 0
  • ∆Hmixlng > 0

Example:
Solution of Cyclohexane and Ethanol:
In Ethanol, its molecules are held together by hydrogen bond
MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions 8
On adding cyclohexane, the molecules tend to occupy the space between ethyl alcohol molecules. As a result the attractive forces between alcohol molecules becomes less. Thus, formation of such Solution: is slight increase in vapour pressure, endothermic and an increase in volume.

2. Solutions showing negative deviations:
For such Solutions the total vapour pressure becomes less than expected according to the Raoult’s law. Because interaction between molecules of Solution is greater than interaction between the pure solvent or solute molecules. Thus the vapour pressure of Solution is less. In these type of Solutions formed enthalpy and volume decreases.
Characteristics:

  • PA < P0A XA and PB < P0B XB
  • ∆Vmixlng < 0
  • ∆Hmixlng < 0

Example:
Solution of Acetone and Chloroform:
When acetone and chloroform are mixed, there are new attractive forces due to intermolecular hydrogen bonding. These force become stronger. Thus the formation of such Solution:s is an exothermic and the vapour pressure of Solution is less and decrease in volume.
MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions 9

Solutions Numerical Questions

Question 1.
Calculate the mass of urea (NH2 CONH2 ) required in making 2.5 kg of 0.25 molal aqueous Solution. (NCERT)
Solution:
0.25 molal aqueous Solution means that
Moles of urea = 0.25 mole
Mass of solvent (water) = 1 kg = 1000 g
Molar mass of urea = 14+ 2 +12+ 16 +14+ 2 = 60 g mol-1
∴ 0 .25 mole of urea = 60 x 0.25 mole = 15 g
Total mass of the Solution = 1000 + 15 g
= 1015 g = 1.015 g
∵ 1.015 kg of Solution contain urea = 15 g
∴ 2.5 kg of Solution will require urea = \(\frac {1.5}{1.015}\) x 2.5 kg = 37 g.

Question 2.
Henry’s law constant for CO2 in water is 1.67 x 108 Pa at 298 K. Calculate the quantity of CO2 in 500 ml of soda water when packed under 2.5 atm CO2 pressure at 298 K. (NCERT)
Solution:
According to Henry’s law,
P = KHX .. (1)
P = 2.5 atm = 2.5 x 101325 Pa, KH= 1.67 x 108 Pa
Putting these values in equation (1), we get
MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions 10

Question 3.
Calculate the mass of ascorbic acid (Vitamin C, C6H8O6) to be dissolved in 75 g of acetic acid to lower its melting point by 1.5°C. KfK kg mol-1. (NCERT)
Solution:
We know that ∆Tf = Kf x \(\frac{\mathrm{W}_{\mathrm{B}} \times 1000}{\mathrm{M}_{\mathrm{B}} \times \mathrm{W}_{\mathrm{A}}}\) .. (1)
Given ∆Tf = 1.5, Kf = 3.9 K kg mol-1, WA = 75g, MB (ascorbic acid, C6H8O6)
= 6 x 12 + 8 x l + 16 x 6 = 176
Putting, these values in equation (1),
1.5 = 3.9 x \(\frac{\mathrm{W}_{\mathrm{B}} \times 1000}{176 \times 75}\)
WB = 5.077g.

MP Board Solutions

Question 4.
Calculate the osmotic pressure in pascals exerted by a Solution prepared by dissolving 1.0 g of polymer of molar mass 1,85,000 in 450 ml of water at 37°C. (NCERT)
Solution:
π = CRT
= \(\frac {n}{V}\) RT
Here, number of moles of solute dissolved (n)
= \(\frac {1.0}{185,000}\) mol-1
= \(\frac {1}{185,000}\) g mol-1
v = 450mL = 0.450 L
T = 37°C = 37 + 273 = 310 K
R = 8.314 K Pa LK-1 mol-1
= 8.314 x 103 Pa LK-1 mol-1
Substituting these values we get,
MP Board Class 12th Chemistry Important Questions Chapter 2 Solutions 11

Question 5.
Concentrated nitric acid used in laboratory work is 68% nitric acid by mass in aqueous Solution. What should be the molarity of such a sample of the acid if the density of the Solution is 1.504 g ml-1? (NCERT)
Solution:
68% nitric acid by mass means that
Mass of nitric acid = 68 g
Mass of Solution = 100 g
Molar mass of HNO3 = 63 g mol-1
∴ 68 g HNO3 = \(\frac {68}{63}\) mole = 1.079 mole
Density of solution = 1.504 g mL-1
∴ Volume of solution = \(\frac {100}{1.504}\)mL = 66.5 mL = 0 0665 L
Molarity of the solution = \(\frac {Moles of the solute}{Volume of Solution in L}\)
= \(\frac {1.079}{0.0665}\) M = 16.23 M.

Question 6.
Vapour pressure of water at 293 K is 17.535 mm Hg. Calculate the vapour pressure of water at 293K when 25g of glucose is dissolved in 450g of water. (NCERT)
Solution:
\(\frac { { p }^{ 0 }-{ p }^{ 0 } }{ { p }^{ 0 } } \) = X2 = \(\frac { { W }_{ B }{ M }_{ A } }{ { M }_{ B }{ W }_{ A } } \)
or \(\frac { 17.535-{ P }_{ s } }{ 17.535 }\) = \(\frac { 25×18 }{ 180×450 }\)
or \(\frac { 17.535-{ P }_{ s } }{ 17.535 }\) = 5.56×10-3
17.535 – ps = 0.0975
Ps = 17.438 mm Hg.

Question 7.
Henry’s law constant for the molality of methane in benzene at 298 K is 4.27 x 105mm Hg. Calculate the solubility of methane in benzene at 298K under 760 mm Hg. (NCERT)
Solution:
Here, KH = 4.27 x 105 mm, P = 760 mm
Applying Hemy’s law, P = KHX
\(\mathrm{X}=\frac{\mathrm{P}}{\mathrm{K}_{\mathrm{H}}}=\frac{760}{4 \cdot 27 \times 10^{5}}\) =1.78 x 10-3
∴ Mole fraction of methane in benzene = 1.78 x 10-3

MP Board Solutions

Question 8.
Benzene and toluene form ideal solution over the entire range of composition. The vapour pressure of pure benzene and toluene at 300K are 50.71 mm Hg and 32.06 mm Hg respectively. Calculate the mole fraction of benzene in vapour phase if 80 g of benzene is mixed with 100 g of toluene. (NCERT)
Solution:
A → Benzene (C6H6); B —> Toluene (C7H8)
Number of moles of benzene nA = \(\frac {80}{78}\)
Number of moles of toluene = nB = \(\frac {100}{92}\)
XA = \(\frac { { n }_{ A } }{ { n }_{ A }+{ n }_{ B } } \quad\) = \(\frac {1.026}{1.026+1.087}\) = 0.486
XB = 1 – XA = 1 – 0.486 = 0.514
Given P°A = 50.71 mm Hg and P°B = 32.06 mm Hg
We know, P = PA + PB
= P°AXA + P°AXB
= (50.71 x 0.486) + (32.06 x 0.514)
= 24.65+ 16.48 = 41-13
Mole fraction of components in vapour phase may be calculated by using Dalton’s law,
PA = yA x P
yA = \(\frac { { P }_{ A } }{ p } \quad \) = \(\frac {24.65}{41.13}\) = 0.60

Question 9.
Determine the osmotic pressure of 5% glucose Solution at 25°C. Molecular mass of glucose = 180, R = 0.0821 litre atmosphere. (MP 2013,16)
Solution:
∴5 gm glucose is dissolved in 100 ml.
∴ 180 gm glucose will be dissolved in \(\frac {100}{5}\) x 180
= 3600 ml = 3.6 litre.
We know that,
PV = RT
P x 3.6 = 0.0821 x (25 + 273) = 298
or P = \(\frac {0.52×12.5×1000}{0.63×170}\)
= 6.80 atmospheres.

MP Board Solutions

Question 10.
12.5 gm of urea dissolved in 170 gm of water. The elevation in boiling point was found to be 0.63 K. If KA for water = 0.52 Km1, calculate the molecular mass of urea. (MP 2010)
Solution:
Formula: MB\(\frac { { K }_{ b }x{ W }_{ B }x1000 }{ ∆{ T }_{ b }x{ W }_{ A } }\)
Given: WA = 170gm,WB= 12.5gm, ∆TB=0.63K, Kb=0.52Km-1
MB = \(\frac {0.52×12.5×1000}{0.63×170}\)
MB = 60.7 gm mol-1

Question 11.
If 6.84 gram sucrose is dissolved in 100 ml. Solution then what will be its osmotic pressure at 20°C? (R = 0.082 litre atmosphere K-1mol-1) (Molecular mass of sucrose MB = 342)
Solution:
Given : Weight of solute (WB) = 6.84 gm
Molecular mass of solute (MB) = 342
Volume of Solution: (V) =\(\frac {100}{1000}\) =0.1 litre
Temperature (T) = 20° C = 273 + 20 = 293 K
Solution constant R = 0.082 litre atmosphere K-1 mol-1
Osmotic pressure π = \(\frac { { W }_{ B }RT }{ { M }_{ B }V } \)
= \(\frac {6.84×0.082×293}{342×0.1}\)
= 4.8 atmosphere.

MP Board Class 12th Chemistry Important Questions

MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium

MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium

Equilibrium Important Questions

Equilibrium Objective Type Questions

Question 1.
Choose the correct answer:

Question 1.
Which of the following reaction have equal Kc and Kp:
(a) N2(g) + 3H2(g) ⇄ 2NH3
(b) 2H2S(g) + 3O2(g) ⇄ 2SO2(g) + 2H2O(g)
(c) Br2 + Cl2(g) ⇄ 2BrCl(g)
(d) P4(g) + 6Cl2(g) ⇄ 4PCl3(g)
Answer:
(c) Br2 + Cl2(g) ⇄ 2BrCl(g)

Question 2.
For the reaction N2(g) + 3H2(g) ⇄ 2NH3(g), ∆H = 92 kJ, the concentration of NH3 at the equilibrium increase by temperature:
(a) Increase
(b) No change
(c) Decrease
(d) None of the above
Answer:
(c) Decrease

Question 3.
In one litre container equilibrium mixture of reaction 2H2S(g) ⇄ 2H2S(g) + S2S(g) is filled 6.5 mol H2S. 0.1 mol H2 and 0.4 mol S2 are present in it. Equilibrium constant of this reaction will be:
(a) 0.004 mol litre-1
(b) 0.080 mol litre-1
(c) 0.016 mol litre-1
(d) 0.160 mol litre-1
Answer:
(c) 0.016 mol litre-1

MP Board Solutions

Question 4.
Favourable condition for exothermic reaction of ammonia synthesis N2S(g) + 3H2S(g) ⇄ 2NH3(g) are:
(a) High temperature and high pressure
(b) High temperature and low pressure
(c) Low temperature and high pressure
(d) Low temperature and pressure
Answer:
(c) Low temperature and high pressure

Question 5.
Oxidation of SO2 by O2 in SO3 is an exothermic reaction manufacture of SO3 will be maximum if:
(a) Temperature increased and pressure decreased
(b) Temperature decreased and pressure increased
(c) Temperature and pressure both increased
(d) Temperature and pressure both decreased.
Answer:
(b) Temperature decreased and pressure increased

Question 6.
At 440°C HI was heated in a closed vessel till equilibrium is attained. It is dissociated 22%. Equilibrium constant dissociation will be:
(a) 0.282
(b) 0.0796
(c) 6.0199
(d) 1.99
Answer:
(c) 6.0199

Question 7.
Kp and Kc can be expressed as:
(a) Kc = Kp (RT)∆n
(b) Kp = Kc (RT)Q∆n
(c) Kp = Kc(RT)∆n
(d) Kc = Kp (RT)∆n
Answer:
(c) Kp = Kc(RT)∆n

MP Board Solutions

Question 8.
The equilibrium constant of the reaction H2(g) + I2(g) ⇄ 2HI2(g), is 64. If the volume of the container is reduced to one – fourth of its original volume. The value of the equilibrium constant will be:
(a) 16
(b) 32
(c) 64
(d) 128
Answer:
(c) 64

Question 9.
What would happen to a reversible reaction at equilibrium when an inert gas is added while the presence remain unchanged:
(a) More of the product will be formed
(b) Less of the product will be formed
(c) More of the reactant will be formed
(d) It remains unchanged
Answer:
(d) It remains unchanged.

Question 10.
SO2(g) + \(\frac{1}{2}\) O2(g) ⇄ SO3(g), K1
2SO3(g) ⇄ 2SO2(g) + O2(g), K2 which of the following is correct:
(a) K2 = K12
(b) K2 = K1-2
(C) K2 = K1
(d) K2 = K1-1
Answer:
(b) K2 = K1-2

Question 11.
Which reaction is not affected by change in pressure:
(a) N2(g) + O2(g) ⇄ 2NO(g)
(b) 2O3(g) ⇄ 3O2(g)
(c) 2NO2(g) ⇄ N2O4(g)
(d) 2SO2(g) + O2(g) ⇄ 2SO3(g)
Answer:
(a) N2(g) + O2(g) ⇄ 2NO(g)

Question 12.
For N2 + 3H2 ⇄ 2NH3 + heat:
(a) Kp = Kc
(b) Kp = KcRT
(c) Kp = Kc (RT)-2
(d) Kp = Kc(RT)-1
Answer:
(c) Kp = Kc (RT)-2

Question 13.
Sodium sulphate dissolve in water with the release of heat. Imagine a saturated solution of sodium sulphate. If temperature is increased then according to Le – Chatelier principle:
(a) Mass of solid will be dissolved
(b) Some solid will be precipitated in solution
(c) Solution will be more saturated
(d) Concentration of solution will be unchangeble.
Answer:
(b) Some solid will be precipitated in solution

MP Board Solutions

Question 14.
For reaction, PCl3(g) + Cl2(g) ⇄ PCl5(g) value of Kc at 250° is 26 value of Kp at this temperature will be:
(a) 0.61
(b) 0.57
(c) 0.83
(d) 0.46
Answer:
(a) 0.61

Question 15.
According to Le – Chatelier principle when heat is given on solid – liquid equilibrium then:
(a) Amount of solid decreases
(b) Amount of liquid decreases
(c) Temperature increases
(d) Temperature decreases
Answer:
(a) Amount of solid decreases

Question 2.
Fill in the blanks:

  1. For an endothermic process, PCl5 ⇄ PCl3+ Cl2; ∆H = + Q cal. Hence, in this reaction, temperature should be kept ………………………. and pressure ………………………. (If reaction is to be carried out in forward direction)
  2. Ice ⇄ Water – Q cal. High temperature in this reaction favours …………………………. direction while increase in pressure favour reaction in ………………………… direction.
  3. According to Ostwald’s dilution law, mathematical relation between degree of dissociation and dissociation constant is expressed by ……………………….. Degree of dissociation of weak electrolyte is inversely proportional to its …………………………..
  4. Relation between solubility and solubility product for the reaction AB ⇄ A+ + B is expressed as ……………………….
  5. For the maximum yield of SO3 in the reaction 2SO2 + O2 → 2SO3, ……………………… temperature and pressure is required.
  6. Mixture of acetic acid and sodium acetate is an example of ……………………….. solution
  7. Mixture of ammonium hydroxide and ammonium chloride is an example of ……………………… solution
  8. Degree of dissociation of a weak electrolyte is inversely proportional to ………………………… of concentration.
  9. Ostwald dilution law is not applicable for ……………………..
  10. Heneiy’s law is related to solubility of in …………………………. solution
  11. Relation between Kp and Kc at constant temperature for reaction is ………………………

Answer:

  1. High, low
  2. Forward, forward
  3. α = \(\sqrt { \frac { K }{ C } } \), square root of concentration
  4. Ksp = [A+] [B]
  5. Low temperature, high pressure
  6. Acidic buffer
  7. Basic buffer
  8. Square root
  9. Strong electrolyte
  10. Gas
  11. Kp = Kc × RT∆n.

MP Board Solutions

Question 3.
Answer in one word/sentence:

  1. What is the value of Kp and Kc for the given reaction:
    • PCl5 ⇄ PCl3 + Cl2
    • H2 + I2 ⇄ 2HI
  2. For the unit of Kc, concentration is expressed in?
  3. Manufacture of nitrogen peroxide is exothermic. What should be temperature and pressure for maximum yield?
  4. Ammonia gas dissolves in water giving NH4OH. How is water reacting in it?
  5. When NH4Cl is added to NH4OH solution, dissociation of NH4OH decreases, why?
  6. pH of water at 298K?
  7. What is hydrogen ion concentration in pure water?
  8. pH of water at 25°C is 7. If water is heated to 50°C, what change in its pH will occur?
  9. Write conjugate base of H2PO4 and HCO3?
  10. Name one ion which behaves as both Bronsted acid and base?

Answer:

    • Kp > Kc
    • Kp = Kc
  1. mol/litre
  2. Low temperature and high pressure
  3. Like acid
  4. Common ion effect
  5. 7
  6. 1 × 10-7
  7. pH value decreases,
  8. HPO42- CO32-
  9. HCO3

Question 4.
Match the following:
[I]
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 1
Answer:

  1. (d)
  2. (e)
  3. (b)
  4. (a)
  5. (c)
  6. (f)

[II]

MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 2
Answer:

  1. (d)
  2. (c)
  3. (a)
  4. (e)
  5. (b)

Equilibrium Very Short Answer Type Questions

Question 1.
For unit of Kc the concentration is expressed as?
Answer:
mol/litre.

Question 2.
Ammonia when dissolve in water give NH4OH, here the water acts as?
Answer:
Like acid.

Question 3.
When NH4Cl is mixed with NH4OH solution, then the ionisation of NH4OH decreases. What is the reason?
Answer:
Due to Common ion effect.

Question 4.
The pH of water at 25°C pH = 7. If water is heated upto 50°C, then what will be the change in pH?
Answer:
The value of pH decreases.

MP Board Solutions

Question 5.
Write the conjugate base of H2PO4 and HC03?
Answer:
HPO42- and CO32-.

Question 6.
Write the name of an ion which acts as both Bronsted acid and base?
Answer:
HCO3.

Question 7.
Give an example of a salt formed by weak acid and weak base?
Answer:
Ammonium acetate.

Question 8.
What is the pH value of human blood?
Answer:
7.4.

Question 9.
What will happen when HCl gas is passed through NaCl?
Answer:
NaCl will precipitate.

Question 10.
Among conjugate bases CN and F, which is stronger base?
Answer:
CN is stronger base.

MP Board Solutions

Question 11.
What is the change in free energy (∆G) of reversible process at equilibrium?
Answer:
Zero (0).

Question 12.
What is solubility product?
Answer:
The product of the concentration of ions in the saturated solution of a sparingly soluble salt is a constant at a given temperature and is called solubility’ product.

Question 13.
What is buffer solution?
Answer:
The solution in which on adding acid or base in iess quantity, the pH change is negligible, is called buffer solution.

Question 14.
In the exothermic reaction of ammonia formation N2(g) + 3H2(g) ⇄ 2NH3(g), when be the formation of ammonia will be more?
Answer:
At low temperature and high pressure the formation of anunorua is more.

Question 15.
Give an example of acidic buffer?
Answer:
Mixture of acetic acid and sodium acetate.

MP Board Solutions

Question 16.
What is the condition for precipitation?
Answer:
For this ionic product should he more than solubility product.

Question 17.
What is the nature of aqueous solution of KCN?
Answer:
It is of basic nature.

Question 18.
What is the nature of aqueous solution of CH3COONH4?
Answer:
It is of neutral nature.

Question 19.
What will be the relation between Kc and Kp for the reaction
PCl5 ⇄ PCl3 + Cl2
Answer:
Kp > Kc.

Question 20.
What is Lewis concept?
Answer:
Acid is an electron pair acceptor and base is an electron pair donor.

MP Board Solutions

Question 21.
What is the definition of acid and base according to Bronsted and Lowry concept?
Answer:
Acid is that which furnishes proton and base accepts the proton.

Question 22.
What is pH?
Answer:
The pH value of a solution is the numerical value of the negative power to which 10 should be raised in order to express the Hydrogen ion concentration of the solution i.e. [H+] = 10-pH or pH = – log [H+].

Question 23.
The Ostwald dilution law applied on which electrolyte?
Answer:
On weak electrolytes.

Equilibrium Short Answer Type Questions – I

Question 1.
Explain the effects of catalyst at equilibrium?
Answer:
Effect of catalyst:
Le – Chatelier’s principle ignores the presence of a catalyst since the catalyst cannot displaces the equilibrium and simply reduce the time required for attaining the equilibrium when a catalyst is added to a reversible reaction in equilibrium. (MPBoardSolutions.com) It increases the speed of both forward and backward reaction i.e. rf and rb to the same extent. However the addition of a catalyst reduces the time required for a reaction to attain the equilibrium.

Question 2.
Explain Ostwald’s law of dilution?
Answer:
Ostwald’s time dilution law:
Ostwald gave law for weak elecrolytes. By applying law of mass action Ostwald gave a law for expressing the dissociation of weak electrolyte. It states that:
“The degree of dissociation of weak electrolyte is directly proportional to the square root of its dilution.”
α = \(\sqrt { KV } \) = \(\sqrt { \frac { K }{ C } } \)
Where, α = Degree of dissociation, K = Dissociation constant, V = Volume in litre in which one gram equivalent is dissolved, C = No. of gram equivalent in one litre.

Question 3.
What is the effect of pressure on chemical equilibrium?
Answer:
On increasing the pressure on chemical equilibrium, the equilibrium shifts in that direction where the volume decreases i.e., the number of moles decreases.
Example: On combining of SO2 and O2, SO3 is formed and 45.2 kcal energy is liberated.
2SO2(g) + O2(g) ⇄ 2SO3(g); ∆H = -45.2 kcal
In this reaction, 2 moles of SO2 react with 1 mole of O2 to form 2 moles of SO3. So, on increasing the pressure the reaction shifts toward forward direction.

MP Board Solutions

Question 4.
What do you mean by buffer solution?
Answer:
Buffer solution: Solution in which,

  1. pH value is definite.
  2. pH is not changed on dilution or on keeping for sometime.
  3. On adding acid or base in less quantity, pH change is negligible.

Such solutions are called buffer solutions.
Or
Buffer solutions are solutions which retain their pH constant or unaltered.

Question 5.
What are acidic buffer and basic buffer?
Answer:
1. Acidic buffers:
Acidic buffers are formed by mixing an equimolar quantities of weak acid and its salt with a strong base.
Example: Acetic acid and sodium acetate, boric acid and borax, citric acid and so-dium citrate, etc.

2. Basic buffers:
Basic buffers contain equimolar quantities of weak base and its salt with strong acid.
Example: Ammonium hydroxide and ammonium chloride.

Question 6.
On the basis ofthe equation pH = – log[H+], the pH of the 10-8mol dm-3 HCl solution should be pH = 8. But the observed value is less than 7. Explain the reason?
Answer:
The 10-8moldm-3HCl shows that the solution is very dilute. So, we cannot neglect the H3O+ ions formed from water in the solution. So, the total [H3O+ ] = (10 -8 + 10-7) M comes to be near 7 or less than 7 i.e., the pH is less than 7. (As the solution is acidic).

Question 7.
Ammonia is a Lewis base. Why?
Answer:
According to Lewis base, a base, is a substance (molecule or ion) which can donate an electron pair to form a co – ordinate. In the structure of ammonia, nitrogen is present in one lone pair of electron. So, ammonia donate a lone pair electron.
For example:
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 3

Question 8.
Write the uses of Buffer solution?
Answer:
Uses of Buffer solution:

  1. To keep the pH of the reaction constant during the determination of velocity of chemical reactions.
  2. The pH should be between pH – 5 to 6 – 8 in the formation of alcohol by fermentation.
  3. Preparation of sugar, paper and electroplating occurs at definite pH.

MP Board Solutions

Question 9.
What is the effect of pressure and temperature on solubility of gases in liquids?
Answer:
1. Effect of Pressure:
On increasing the pressure the solubility of gases increases as the molecules of gases enters in the intermoiecular spaces of solvent.

2. Effect of Temperature:
On increasing the temperature the solubility of gases decreases as the kinetic energy of gas molecules increases.

Question 10.
Write the name of the factors affecting the chemical equilibrium?
Answer:
The factors affecting the chemical equilibrium are:

  1. Temperature
  2. Pressure
  3. Change in concentration
  4. Catalyst.

Question 11.
Why the solubility of C02 decreases on Increasing the temperature?
Answer:
CO2(g) + aq ⇄ CO2(eq)
The solubility of CO2 in water is an exothermic reaction. So, according to Le – Chatelier’s principle, on increasing temperature the reaction proceeds towards backward direction. That is why on increasing temperature the solubility of CO2 decreases.

Question 12.
What do you understand by ionization of water?
Answer:
Auto ionisation occurs in water molecules. The ionic equilibrium of water can be shown by following equation:
H2O + H2O ⇄ H3OH+ + OH
Equilibrium constant K = \(\frac { [H_{ 3 }O^{ + }][OH^{ – }] }{ [H_{ 2 }O]^{ 2 } } \)
⇒ KH2O = [H3O+][OH] [∵ KH2O = Kw]
Kw = 1 × 10-14
Here Kw is a constant, called ionic product of water.

Question 13.
What is concentration Quotient?
Answer:
The ratio of concentration of products and reactants is called concentration quotient. It is denoted by Q. For any reversible reaction the concentration quotient is equal to the equilibrium constant Kc.
Kc = \(\frac { [C]^{ c }[D]^{ d } }{ [A]^{ d }[B]^{ b } } \)
and Q = \(\frac { [C_{ C }]^{ c }[C_{ D }]^{ d } }{ [C_{ A }]^{ d }[C_{ B }]^{ b } } \)
At equilibrium Q = Kc.

MP Board Solutions

Question 14.
What do you understand by Lewis acid and Lewis base? Explain with example?
Answer:
Lewis acid:
Acid is a substance (an atom, molecule or ion) which can accept a pair of electrons to complete its octet.
Example: BF3, AlCl3, Br+, NO2+ etc.

Lewis base:
Lewis base is a substance (an atom, molecule or ion) which have complete octet of the central metal atom and have a lone pair of electron to donate in a chemical reaction to form co – ordinate bond.
Example:
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 4

Question 15.
At 310 K, ionic product of water is 2.7 × 10-14. at this temperature determine the pH of neutral water?
Solution:
Kw = [H3O+].[OH] = 2.7 × 10-14 (At 310 K)
For reaction H2O + H2O ⇄ [H3O+] [OH]
[H3O+] = [OH]
So, [H3O+] = \(\sqrt { 2.7\times 10^{ -14 } } \) = 1.643 × 10-7M
pH = -log [H3O+] = -log 1.643 × 10-7
= 7 + (- 0.2156) = 6.7844.

Question 16.
Determine the concentration quotient for following reactions:

  1. CrO4-2(eq) + Pb(eq) ⇄ PbCrO4(s)
  2. CaC03(s) ⇄ CaO(s) + CO2(g)
  3. NH3(eq) + H2O(l) ⇄ NH4+(eq) + OH(eq)
  4. H2O(l) ⇄ H2O(g)

Answer:
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 5

Question 17.
What is the importance of solubility product in precipitation of soap?
Answer:
Soap is produced on alkaline hydrolysis of oil and fats. Soaps are actually sodium or potassium salts of higher fatty acids. (MPBoardSolutions.com) Soap is obtained in the form of concentrated liquid. Concentrated salt solution is added for its precipitation. In presence of increased concentration of common sodium ion, ionic product of [Na+] [Cn H2n+1 COO] exceeds its solubility product (Ksp) and it gets precipitated. It is separated by filtration.

Equilibrium Short Answer Type Questions – II

Question 1.
By comparing the values of Kc and how will you find out the following state of the reaction:

  1. Resultant reaction proceeds towards forward direction.
  2. Resultant reaction proceeds towards backward direction.
  3. No change in the reaction.

Answer:

  1. If Qc < Kc; reaction proceeds towards the direction by products (Forward reaction).
  2. If Qc > Kc; reaction proceeds towards reactant side (Backward reaction).
  3. If Qc = Kc; at equilibrium, the reaction mixture remains as before. So no change in the reaction.

MP Board Solutions

Question 2.
The aqueous solution of sodium carbonate is basic in nature, why?
Answer:
Na2CO3 ⇄ 2Na+ + CO3-2
2H – OH ⇄ = 2H+ + 2OH
Na2CO3 + 2H – OH ⇄ 2NaOH + H2CO3
Neither solid Na2CO3 nor water alone has any action on litmus paper. However aqueous solution of Na2CO3 turned red litmus blue. The problem is successfully explained by the Arrhenius theory of ionization in terms of hydrolysis, when a salt is dissolved in water, it undergoes ionization. (MPBoardSolutions.com) The ions of salt interact with opposite ion of water to form acidic basic or neutral solution. This process is called hydrolysis may be defined as the interaction of ion of a salt with oppositely charged ion of water to give acidic or basic solution. Consider the hydrolysis of a general salt (AB).
Dissociation of salt
AB +Water → A+ + B
Dissociation of water
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 6

Question 3.
What is the effect on equilibrium when gases are dissolved in liquids? Explain with example?
Answer:
When the soda water bottle is opened, dissolved CO2 gas in it comes out rapidly. This is an example of equilibrium of any gas in equilibrium between gas and its liquid. At finite pressure of the gas there exists an equilibrium between soluble and insoluble molecules of the gas.
CO2(g) ⇄ CO2(eq)
Henry’s law: The solubility of gas in a given solvent is directly proportional to the pressure to which the gas is subjected, provided the temperature remains the same.
Thus, m ∝ P
or m = KP
Where, K is a constant of proportionality and known as Henry’s constant.
Example: You have seen that when a soda water bottle is opened, the carbon dioxide dissolved in it freezes out rapidly. This can be explained on the basis of Henry’s law. (MPBoardSolutions.com) Carbonated beverages are bottled under pressure to ensure high concentration of carbon dioxide. When the bottle is opened the pressure above the solution falls and the excess carbon dioxide comes out.

Question 4.
What is common ion effect? Explain?
Answer:
Common ion effect:
When, in a solution of weak electrolyte, a solution of strong electrolyte containing the same ion is added, then the ionisation of weak electrolyte decreases. This effect is called common ion effect.
Example: During precipitation of radicals of group II taken care that the radicals of group IV does not get precipitated. (MPBoardSolutions.com) On the basis of this, H2S gas is passed in presence of HCl in group II. Due to common ion effect dissociation of H2S is suppressed.
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 7
This reduces concentration of sulphide ion and hence only radicals of group II get precipitated as sulphide. For the precipitation of radicals of group IV, H2S is passed in presence of NH4OH. H+ ion of H2S combines with OH ions of NH4OH to produce water. This increases dissociation of H2S. In this way, increase in sulphide ion concentration helps in the precipitation of positive sulphides of group IV.

MP Board Solutions

Question 5.
What do you understand by conjugate acid and conjugate base?
Answer:
The relative strengths of conjugate pairs can be found out, if we know whether forward reaction is favoured or backward reaction is favoured.
For example:
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 8
In the above reaction, the reaction proceeds almost to completion. We must therefore conclude that HCl is a stronger acid than H3O+ i.e., HCl has stronger tendency to donate proton than H3O+. Similarly H2O is stronger base than H2O has stronger tendency to accept proton than Cl. Thus, the strong acid (HCl) has a weak conjugate base Cl.
Consider another reaction
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 9
For the reaction, backward reaction is strongly favoured. This shows that H3O+ is a stronger acid than CH3COOH and CH3COO is a stronger base than H2O. Thus, we again observe that the strong acid (H3O+) has the weak conjugate base (H2O). Thus, we conclude that, A stronger acid has a weak conjugate base and vice – versa.

Question 6.
Explain the solubility product by giving definition?
Answer:
Solubility product:
The product of the concentration of ions in the saturated solution of a sparingly soluble salt as AgCl is a constant at a given temperature and is called solubility product. (MPBoardSolutions.com) If any sparingly soluble electrolyte at any temperature forms saturated solution, then the equilibrium is
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 10
According to law of mass action from (b) and (c),
\(\frac { [A^{ + }][B^{ + }] }{ [AB] } \) = K
∴ [A+ ][B+ ] = K[AB]
When solution is saturated [AB] will be constant and value of K[AB] will also be a constant and is written as KJ which is the solubility product.

Question 7.
Explain the acid – base concept of Bronsted – Lowry by giving example?
Answer:
Bronsted – Lowry concept of acid and base (1923):
Scientist Bronsted and Lowry gave the theory for acids and bases which is equally applied to aqueous and non – aqueous solutions of acids and bases. According to it, “Acid is that which furnishes proton and base accepts the proton.”

Neutralization reaction:
A reaction in which a proton is transferred from acid to a base or a reaction between H+ and OH ion to form H2O molecule.
Relation between acid and base:
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 11
That means, every acid has conjugate base and every base has conjugate acid.
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 12
According to the definition given by Bronsted and Lowry, acid and base may be in molecular, cationic or anionic states.

Question 8.
Calculate the value of equilibrium constant for following reaction:
PCl5 ⇄ PCl3 + Cl2
Answer:
Let ‘a’ mole of PCl5, initiate the reaction and x moles dissociate at equilibrium state. If the volume of container is V litre then,
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 13
According to law of mass of action
Kc = \(\frac { [PCl_{ 3 }][Cl_{ 2 }] }{ [PCl_{ 5 }] } \)
On putting the values,
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 14

MP Board Solutions

Question 9.
With the help of Le – Chatelier’s principle at equilibrium for reaction 2SO3 + O2 ⇄ 2SO3;
∆H = – 188.2 kJ, determine the restrictions for the formation of sulphur trioxide?
Answer:
Le – Chatelier proposed a law. It states “If as equilibrium m £ chemical system is disturbed by changing temperature, pressure or concentration of the system, the equilibrium shift is such a way so that the effect of change gets minimised.”
On the basis of this principle, changes in chemical equilibria and physical equilibria can be explained.
Formation of SO3 by SO2 and O2:
2SO2 + O2 ⇄ 2SO3; ∆H = – 45.2 kcal

1. Effect of concentration:
On increasing concentration of SO2 and O2 more SO3 will be formed.

2. Effect of pressure:
On increasing pressure, the equilibrium shifts on that side in which number of moles are less or towards less volume. In this reaction, 2 moles of SO2 and 1 mole of O2 (Total 3 moies) change into 2 moles of SO3, So, on increasing pressure, more quantity of SO3 will be formed.

3. Effect of temperature:
Formation of SO3 is an exothermic reaction, so on increasing temperature, more SO3 will dissociate and on decreasing temperature, more SO3 will be formed.

Question 10.
What is the importance of solubility product m the purifkation of salt?
Answer:
Purification of common salt; Common salt contains impurities in it. For removal of these HCl gas is passed through the saturated solution of salt. HCl ionizes tc greater extent being a strong electrolyte.
HCl ⇄ H+ + Cl (More ionized)
NaCl ⇄ NaCl ⇄ Na+ + Cl

Equilibrium Long Answer Type Questions – I

Question 1.
Explain the buffering action of alkaline or basic buffer? Give its importance?
Answer:
Bask buffer:
Basic buffer contains equimolar quantities of weak base and sodium citrate etc.
Buffer action of basic buffer: Consider a basic buffer of NH4OH and NH4Cl. This buffer solution contains a large amount of NH4+ ions, Cl ions and excess of undissociated NH4OH molecules along with a small amount of OH ions.
NH4Cl → NH4+ + Cl
NH4OH ⇄ NH4+ + OH
On adding a drop of HCl, H3O+ ions produced combines with OH ions of the buffer to form weakly ionised H2O molecules. As a result of this ionisation of NH4OH increases to restore the concentration of OH ions. Sc, pH of solution remains unchanged.
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 15
When a few drops of NaOH is added, it provides OH ions. The additional OH ions combines with NH4+ ions to form weakly ionised NH4OH resulting an increase in ionisation of NH4OH to restore the concentration of NH4+ ion. Thus, pH remains unchanged.
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 16
Importance of Buffer solution:

  1. Buffer solutions are very important in laboratories, industries, botanical or zoological, physiology. Human blood is an example of buffer solution which has pH 7.34.
  2. In the extraction of phosphate the buffer solution of CH3COONa and CH3COOH is used.
  3. In industries, for the manufacturing of sugar and paper and electroplating occurs at fixed pH.

MP Board Solutions

Question 2.
What is pH? Explain?
Or, What is meant by pH? What is its relationship with hydrogen ion concentration?
Answer:
To express the acidity or basicity of a solution Sorensen in 1909 established a scale known as the pH scale.
The pH value of a solution is the numerical value of the negative power to which 10 should be raised in order to express the hydrogen ion concentration of the solution, i.e;
[H+] = 10-pH …………… (1)
On taking log of eqn.(1),
or log10[H+] = log10 10-pH
log10[H+] = -pH log10 10
or pH = -log [H+], (∵ log10 10 = 1)
or pH = log10\(\frac { 1 }{ [H^{ + }] } \)
This is the required relationship between pH and H+ ion concentration.
Thus, the pH value of a solution is the logarithm of its hydrogen ion concentration to base 10 with negative sign.
pH scale expresses acidic and basic nature of solution in terms of numbers from 0 to 14. Acidic solutions have pH value less than 7 while basic solutions have pH value greater than 7. pH value of neutral solution is 7.
Uses of pH measurement:

  1. In industries:
    • In the manufacturing of alcohol by fermentation, pH is maintained between 5 and 6.8.
    • Manufacturing of paper, sugar and electroplating is being done at fixed pH.
  2. In the study of velocities of chemical reactions, for maintaining pH, buffer solutions are used.
  3. In qualitative analysis for removal of phosphate to maintain pH, buffer solutions of CH3COONa and CH3COOH are used.
  4. pH of human blood is 7.34. Medium of stomach is acidic while in the intestine it is basic medium.

Question 3.
Write the characteristics of equilibrium constant?
Answer:
Characteristics of equilibrium constant:
1. The value of equilibrium constant for a reaction is constant at a given temperature and it changes with change in temperature.

2. The value of molar equilibrium constant does not depends upon the initial molar concentration of reactants and products but it depends upon their concentration at equilibrium state.

3. If the reaction is reversed the value of equilibrium constant is inversed. For example,
Then for, H2(g) + I2(g) ⇄ 2HI, Kc = 50
2HI(g) ⇄ H2(g) + I2(g)
∴ K’ = \(\frac { 1 }{ K } \) or K’c = \(\frac{1}{50}\) = 0.02

4. If the equation having equilibrium constant is divided by 2, the equilibrium constant for the new equation is the square root of K (i.e., \(\sqrt { K } \))
For example:
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 17

5. If the equation (Having equilibrium constant K) is multiplied by 2, the equilibrium constant for the new equation is square of K (i. e., K2)
K’ = K2

Question 4.
Give only the definition of:

  1. Salt hydrolysis
  2. Solubility product
  3. Common ion effect
  4. Buffer solution

Answer:
1. Salt hydrolysis:
The interaction of cation/anion or both with water making the solution acidic or basic is called salt hydrolysis.

2. Solubility product:
At a particular temperature the product of concentration of ions in a saturated solution of a sparingly soluble electrolyte is known as solubility product. (Ksp).

3. Common ion effect:
The dissociation of weak electrolyte (Weak acid or weak base) is suppressed by the addition of a strong electrolyte having a common ion is called common ion effect.

4. Buffer solution:
Buffer solutions are solutions which retain their pH constant or unaltered after addition of less quantity of acid or base.

MP Board Solutions

Question 5.
Before precipitation of IIIrd group radicals as hydroxides on adding NH4OH, why it is necessary to add NH4Cl first?
Answer:
Precipitation of hydroxide of group ill:
Radicals of group III i e.. Al3+, Fe3+, Cr3+ gets precipitated as hydroxides. Radicals cf succeeding groups such as Zn2+, Ni2+, Mg2+, etc. are also precipitated as hydroxide. (MPBoardSolutions.com) Solubility product of hydroxide of group III is lesser than that of other as given below:
Table: Solubility Product of Hydroxide at 18°C
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 18
Due to the difference in the solubility product of the hydroxides, concentration of OH ion is kept low such that only radicals of group III gets precipitated.
Hence, NH4OH is added before adding NH4Cl which remains completely ionized. Due to common (NH4+) ion dissociation of weak electrolyte NH4OH is suppressed.
NH4Cl ⇄ NH4+ + Cl (More ionised)
NH4OH ⇄ NH4+ + OH (Less ionised)
This decreases comcentration of OH ion and only hydroxides with low solubility product gets precipated.

Equilibrium Long Answer Type Questions – II

Question 1.
Derive a relation between equilibrium constant Kp and Kc, Or, Prove that Kp = KcRT∆n?
Answer:
In year 1867 Guldberg and Waage put forward a relationship between the rate of reaction and the molar concentration of reactants. The reUucrjhip is.0 as law of mass action. (MPBoardSolutions.com) It states that “At constant temperature, the rate of a chemical reaction is directly proportional to the product of the molar concentration of the reaction each raised to a power equal to its corresponding stoichiometric coefficient that appears in the balanced chemical equation.”
Example: For solids and liquids: Consider a hypothetical reversible reaction in the state of equilibrium.
A + B ⇄ X + Y
Applying law of mass action: Rate of forward reaction
Rf ∝ [A] [B] or Rf = Kf[A][B] ……………… (1)
Where, Kf is rate constant or velocity constant for the forward reaction. Similarly, rate of backward reaction,
Rb ∝ [X] [Y] or Rb = Kb [X][Y] ………………… (2)
Where, Kb rate constant or velocity constant for the backward reaction.
At equlibrium,
Rate of forward reaction = Rate of backward reaction.
Kf[A][B] = Kb[X][Y]
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 19
Its value remains constant at particular temperature. The equation (3) is called law of chemical equilibrium. For a general type of the reaction,
aA + bB ⇄ xX + yY
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 20
For gaseous reactants and products:
In the expression for Kc, the concentrations of the various species are generally expressed in terms of moles/litre. (MPBoardSolutions.com) However, in case of gaseous reactions the concentrations of gases may also expressed in terms of their partial pressures. Therefore, for a gaseous reaction:
aA + bB ⇄ xX + yY
The law of chemical equilibrium may be expressed as:
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 21
Relationship between Kpc:
Let us consider the following general reaction,
aA + bB ⇄ xX + yY
In which all the substances A, B, X and Y are present in gaseous state. For this reaction, Kp and Kc is written as follows:
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 22
Since, for an ideal gas,
PV = nRT
∴ P = \(\frac{n}{V}\) RT = CRT ………………… (3)
Where, the term C (equal to \(\frac{n}{V}\)) represents the molar concentration of the gas. On the basis of equation (3), we have
PA = CART = [A] RT
PB = CBRT = [B] RT
PX = CX RT = [X] RT
PY = CY RT = [Y] RT
Substituting this value in equation (2), we get
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 23
Proved.

MP Board Solutions

Question 2.
Derive Ostwald’s dilution law of ionization of weak electrolytes? Write its limitations?
Or, Deduce the relationship between degree of ionization and ionization constant?
Answer:
Ostwald’s dilution law: Weak electrolytes are partially ionised. The ions produced due to ionisation of weak electrolyte exist in dynamic equilibrium with the undissociated molecules.
The fraction of the total number of molecules of electrolyte dissolved, which ionises at equilibrium is called degree of ionisation or degree of dissociation. It is denoted by α.
Consider ‘C’ mol per litre be the initial concentration of weak electrolyte AB dissolved in water. Let α be its degree of ionisation. (MPBoardSolutions.com) Thus, the molar concentration of different species before ionisation and at equilibrium be as given below:
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 24
Under normal conditions, value of a is very small for weak electrolyte and it can be neglected in comparison to 1.
∴K = Cα2
or α2 = \(\frac{K}{C}\)
∴α = \(\sqrt { \frac { K }{ C } } \)
If V is the volume of the solution in litres containing 1 mole of electolyte, then C = \(\frac{1}{V}\). Thus,
α = \(\sqrt { KV } \)
The above equation helps us to conclude that:
The degree of ionisation is inversely proportional to the square root of the molar concentration or directly propotional to the square root of the volume of the solution containing one mole of electrolyte. This is called Ostwald’s dilution law.

Limitations:
This law is not applicable for strong electrolyte and concentrated solutions because attractive force also acts between the solutions of such electrolytes.

Question 3.
Derive a relationship between pH and pOH value? Or, Prove that pH + pOH = 14.
Answer:
The water ionizes as:
H2O + H2O ⇄ H3O+ + OH
K = \(\frac { [H_{ 3 }O^{ + }][OH^{ – }] }{ [H_{ 2 }O]^{ 2 } } \)
K [H2O ]2 = [H3O+] [OH]
[∵K [H2O ]2 = Kw]
Kw = [H3O+][OH] ……………. (1)
Kw is a constant, it is called product solubility.
At 298K, Temperature Kw = 1 × 10-14.
On putting the value in equation (1)
10-14 = [H3O+][OH]
Taking log on both sides,
-14 log1010 = log10[H3O+] + log10[OH]
-14 = log10[H3O+] + log10[OH], [∵log1010 = 1]
0r 14 = [-log10[H3O+]] + [-log10[OH]]
[∵log10 [H3O+] = pH]
[∵log10 [OH] = pOH]
14 = pH + pOH

MP Board Solutions

Question 4.
For the determination of pH value of buffer solution derive Henderson – Hazel equation?
Answer:
Henderson’s equation:
pH of a buffer solution can be calculated with the help of Henderson’s equation. For this consider a buffer of weak acid HA and its salt.
HA ⇄ H+ + A
Ka = \(\frac { [H^{ + }][A^{ – }] }{ [HA] } \)
Ka is dissociation constant of acid.
or [H+] = Ka \(\frac { [HA] }{ [A^{ – }] } \)
Salt is completely ionised while due to presence of excess A from the salt, the dissociation of weak acid will be depressed more due to common ion effect.
or [H+] = Ka \(\frac { [Acid] }{ [Salt] } \) [A] ≈ [Salt]
Taking log value,
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 25
This equation is called Henderson equation.
In the same way, for basic buffer solution:
MP Board Class 11th Chemistry Important Questions Chapter 7 Equilibrium img 26
pH of a buffer solution does not change woth dilution because on dilution the ration of conc. of acid or base does not change.

MP Board Class 11 Chemistry Important Questions

MP Board Class 12th Chemistry Important Questions Chapter 1 The Solid State

MP Board Class 12th Chemistry Important Questions Chapter 1 The Solid State

The Solid State Important Questions

The Solid State Objective Type Questions

Question 1.
Choose the correct answers:

Question 1.
Due to Frankel defect, density of ionic solids :
(a) Decreases
(b) Increases
(c) Does not change
(d) It changes.
Answer:
(c) Does not change

Question 2.
In CsCl each Cl is surrounded by how many Cs :
(a) 8
(b) 6
(c) 4
(d) 2.
Answer:
(a) 8

Question 3.
Frenkel defect is not shown by :
(a) AgBr
(b) AgCl
(c) KBr
(d) ZnS.
Answer:
(c) KBr

Question 4.
In NaCl crystal number of oppositely charged ions situated at equal distance are:
(a) 8
(b) 6
(c) 4
(d) 2
Answer:
(b) 6

Question 5.
Best conductor of electricity is :
(a) Diamond
(b) Graphite
(c) Silicon
(d) Carbon (non – crystalline).
Answer:
(b) Graphite

MP Board Solutions

Question 6.
Which type of point defect is found in NaCI crystal of KCl crystal: (MP 2009 Set D)
(a) Frenkel defect
(b) Schottky defect
(c) Lattice defect
(d) Impurity defect.
Answer:
(b) Schottky defect

Question 7.
How many space lattices (Bravais lattice) can be obtained from various crystal systems :
(a) 7
(b) 14
(c) 32
(d) 230.
Answer:
(b) 14

Question 8.
Diamond is a :
(a) H – bond solid
(b) Ionic solid
(c) Covalent solid
(d) Glass
Answer:
(c) Covalent solid

Question 9.
The Co – ordination number of Ca2+ ions in fluoride structure is :
(a) 4
(b) 6
(c) 8
(d) 3.
Answer:
(c) 8

Question 10.
8 : 8 Co – ordination number is found in which compound :
(a) MgO
(b) A1203
(C) CsCl
(d) All of these
Answer:
(C) CsCl

Question 11.
Co – ordination number of body centred cubic cell is :
(a) 8
(b) 12
(c) 6
(d) 4
Answer:
(a) 8

Question 12.
Density of unit cell is :
(a) \(\frac { ZM }{ { a }^{ 3 }{ N }_{ 0 } } \)
(b) \(\frac { Z{ N }_{ 0 } }{ { a }^{ 3 }M } \)
(c) \(\frac { { N }_{ 0\quad }{ a }^{ 3 } }{ Z } \)
(d) \(\frac { Z }{ M{ N }_{ 0 } } \)
Answer:
(a) \(\frac { ZM }{ { a }^{ 3 }{ N }_{ 0 } } \)

Question 13.
The number of tetrahedral voids in unit cell of cubic close packing :
(a) 4
(b) 8
(c) 6
(d) 2
Answer:
(b) 8

Question 14.
Intra – ionic distance of CsCl will be :
(a) a
(b) \(\frac {a}{2}\)
(c) \(\frac { \sqrt { 3 } a }{ 2 } \)
(d) \(\frac { 2a }{ \sqrt { 3 } } \)
Answer:
(c) \(\frac { \sqrt { 3 } a }{ 2 } \)

Question 15.
Number of atoms in a body centred cubic unit cell is : (MP 2011)
(a) 1
(b) 2
(c) 3
(d) 4.
Answer:
(b) 2

Question 16
Which of the following is Bragg equation :
(a) nλ = 2ϕ sinθ
(b) nλ = 2d sinθ
(c) nλ = sinθ
(d) n\(\frac {θ}{2}\) = \(\frac {d}{2}\) sinθ.
Answer:
(b) nλ = 2d sinθ

Question 17.
Constituents of covalent crystal is :
(a) Atom
(b) Molecule
(c) Ion
(d) All of these.
Answer:
(a) Atom

Question 18.
Number of Na atom present in the unit cell of NaCI crystal is : (MP 2012)
(a) 1
(b) 2
(c) 3
(d) 4.
Answer:
(d) 4.

Question 19.
What type of magnetic substance are Fe, Co, Ni: (MP 2012,18)
(a) Paramagnetic
(b) Ferromagnetic
(c) Diamagnetic
(d) Antiferromagnetic.
Answer:
(b) Ferromagnetic

Question 20.
The correct example of Frenkel defect is : (MP 2012)
(a) NaCI
(b) CsCl
(c) KCl
(d) AgCl.
Answer:
(d) AgCl.

MP Board Solutions

Question 21.
Dry ice (solid CO2) is a/an : (MP 2012)
(a) Ionic crystal
(b) Covalent crystal
(c) Molecular crystal
(d) Metallic crystal.
Answer:
(c) Molecular crystal

Question 22.
Co – ordination number of Cs in CsCl: (MP2015)
(a) Like Cl i.e., 8
(b) Unlike Cl i.e., 6
(c) Unlike Cl i.e., 8
(d) Like Cl i.e., 6.
Answer:
(a) Like Cl i.e., 8

Question 23.
Structure of NaCI crystal: (MP 2015)
(a) Tetragonal
(b) Cubic
(c) Orthorhombic
(d) Monoclinic.
Answer:
(b) Cubic

Question 24.
Each Na+ion in NaCI crystal is surrounded by :
(a) Three Cl ions
(b) Eight Cl ions
(c) Four Cl ions
(d) Six Cl ions.
Answer:
(d) Six Cl ions.

Question 25.
For increasing of electro conductivity in a solid crystal, mixing of impurities is known as : (MP2016)
(a) Schottky defect
(b) Frenkel defect
(c) Doping
(d) Electronic defect.
Answer:
(c) Doping

Question 26.
Which type of lattice is found in KCl crystal:
(a) Face centred cubic
(b) Body centred cubic
(c) Simple cubic
(d) Simple tetragonal.
Answer:
(a) Face centred cubic

Question 27.
Number of atoms in a body centred cubic unit cell of a monoatomic substance is :
(a) 1
(b) 2
(c) 3
(d) 4
Answer:
(b) 2

MP Board Solutions

Question 28.
Radius ratio limit for tetrahedral symmetry is :
(a) 0155
(b) 0.414
(c) 0.732
(d) 0.225
Answer:
(d) 0.225

Question 29.
The defect produced due to a cation and an anion vacancy in a crystal lattice is known as :
(a) Schottky defect
(b) Frenkel defect
(c) Crystal defect
(d) Ionic defect
Answer:
(a) Schottky defect

Question 30.
If co – ordination number of Cs+ is 8 in CsCl then co – ordination number of Cl ion is :
(a) 8
(b) 4
(c) 6
(d) 12
Answer:
(a) 8

Question 2.
Answer in one word / sentence :

  1. Give two examples of metallic crystal.
  2. Give two examples of covalent crystal.
  3. Give two examples of ionic crystal.
  4. What is the co – ordination number of F+ ion in CaF1?
  5. What is the value of co – ordination number of hexagonal close packing structure?
  6. What is the type of structure of NaCl crystal?
  7. Give an example of body centred cubic cell.
  8. Give an example of a compound which has both Schottky and Frenkel type of defect.
  9. What types of crystal is SiC? (MP 2011)
  10. Write Bragg equation. (MP2017)
  11. What is effect on the density of a substance or crystal due to Schottky defect?
  12. Write the formula of radius ratio.
  13. Give two examples of amorphous or non – crystalline solid.
  14. F – centres give colour of crystal due to whose presence? (MP 2018)

Answer:

  1. Copper, Nickel
  2. Diamond, Graphite
  3. NaCl, NaNO3
  4. 4
  5. 12
  6. Cubic
  7. CsCl
  8. AgBr
  9. Covalent solid
  10. nλ = 2d sinθ
  11. Due to Schottky defect density of substance decreases
  12. Radius ratio = \(\frac { radiusofcation\quad { r }^{ + } }{ radiusofanion\quad { r- } } \)
  13. Glass, plastic
  14. Due to presence of free electron.

MP Board Solutions

Question 3.
Fill in the blanks :

  1. The defect produced due to removal of a cation and an anion from a crystal lattice is called …………………. (MP 2018)
  2. If in a crystal lattice a cation leaves its lattice site and occupies a space in the interstitial site then the defect is called ………………….
  3. The cause of electric conduction of NaCl in its molten state are its ………………….
  4. Due to …………………. defect the density of crystal decreases
  5. Total …………………. types of crystal system are there.
  6.  …………………. proposed the concept of atom for the first time.
  7. The ratio of the cation and anion present in a crystal is known as ………………….
  8. The process of adding small amount of impurities in an element or compound is called …………………. (MP 2018)
  9. Total 14 types of unit cells are there which are known as ………………….
  10. In NaCl crystal structure, co – ordination number of both Na+and Cl ion is ………………….
  11.  …………………. defect is found in ZnS and AgCl crystal.
  12. Due to Schottky defect, density of crystal ………………….
  13. In metallic solids, conductivity is due to the presence of ………………….
  14. Point defects are found in …………………. crystals.
  15. Substances which are attracted in magnetic field are called ………………….
  16. For a unit cell, if r = \(\frac { a }{ \sqrt { 8 } } \), then it will be …………………. type of unit cell.
  17. Conductivity of semiconductor …………………. on increasing temperature.

Answer:

  1. Schottky defect
  2. Frenkel defect
  3. Free ions
  4. Schottky
  5. Seven
  6. Kannad
  7. Radius ratio
  8. Doping
  9. Bravais lattice
  10. Six
  11. Frenkel
  12. Decreases
  13. Free electron
  14. Ionic
  15. Paramagnetic substance
  16. Fcc
  17. Increases.

Question 4.
Match the following:
I. (MP2014)
MP Board Class 12th Chemistry Important Questions Chapter 1 The Solid State 1
Answer:

  1. (b)
  2. (d)
  3. (c)
  4. (a)

II.
MP Board Class 12th Chemistry Important Questions Chapter 1 The Solid State 2
Answer:

  1. (c)
  2. (d)
  3. (a)
  4. (b)

III.
MP Board Class 12th Chemistry Important Questions Chapter 1 The Solid State 3
Answer:

  1. (d)
  2. (c)
  3. (b)
  4. (a)

IV. (MP2017)
MP Board Class 12th Chemistry Important Questions Chapter 1 The Solid State 4
Answer:

  1. (c)
  2. (d)
  3. (a)
  4. (b)

MP Board Class 12th Chemistry Important Questions

MP Board Class 12th Economics Important Questions Unit 10 Balance of Payments

MP Board Class 12th Economics Important Questions Unit 10 Balance of Payments

Balance of Payments Important Questions

Balance of Payments Objective Type Questions

Question 1.
Choose the correct answers:

Question 1.
Structure of balance of payment includes which account:
(a) Current account
(b) Capital account
(c) Both (a) and (b)
(d) None of these.
Answer:
(c) Both (a) and (b)

Question 2.
Balance of trade means :
(a) Capital transactions
(b)Import and export of goods,
(c) Total credit and debit
(d) All of the above.
Answer:
(b)Import and export of goods,

Question 3.
Measures to improve adverse balance of payment includes :
(a) Currency devaluation
(b) Import substitution
(c) Exchange control
(d) All of the above.
Answer:
(d) All of the above.

MP Board Solutions

Question 4.
Foreign Exchange Rate is determined by :
(a) Demand of foreign currency
(b) Supply of foreign currency
(c) Demand and supply in foreign exchange market
(d) None of these.
Answer:
(c) Demand and supply in foreign exchange market

Question 5.
Types of Foreign Exchange Market are :
(a) Spot market
(b) Forward market
(c) Both (a) and (b)
(d) None of these.
Answer:
(c) Both (a) and (b)

Question 2.
Fill in the blanks:

  1. Bretton woods system is also known as ………………… border system.
  2. There is ………………… relation between foreign exchange rate and the supply of foreign exchange.
  3. By devaluation, the value of currency …………………
  4.  ………………… items are included in the balance of trade.
  5. Balance of payment always remains …………………
  6. The value of currency of one country with that of the currency of another country is called …………………

Answer:

  1. Adaptable
  2. Direct
  3. Reduces
  4. Visible
  5. Balanced
  6. Exchange rate.

Question 3.
State true or false :

  1. Balance of trade includes both visible and invisible items.
  2. Balance of trade is a part of Balance of payments.
  3. Devaluation is declared by the government.
  4. Balance of payment is always balanced.
  5. For export promotion, help of devaluation is taken.
  6. The increasing population in developing countries has direct impact on economic growth.
  7. Export promotion is one of the ways of correcting Balance of payments.

Answer:

  1. False
  2. True
  3. True
  4. True
  5. True
  6. False
  7. False.

Question 4.
Match the following :
MP Board Class 12th Economics Important Questions Unit 10 Balance of Payments 1
Answer:

  1. (b)
  2. (c)
  3. (a)
  4. (e)
  5. (d)

Question 5.
Answer the following one word/ sentence:

  1. New trade policy was declared in which year?
  2. What will be the effect of devaluation of Indian currency on Indian imports?
  3. In the long run, for what do the importers pay?
  4. What does capital account imply?
  5. What is the exchange of currency of one country in currency of another country called?

Answer:

  1. 1991
  2. Costly
  3. Exports
  4. International exchange and Indebtness
  5. Ex – change Rate.

Balance of Payments Very Short Answer Type Questions

Question 1.
What is Balance of Payment?
Answer:
The balance of payment of a nation consists of the payments made, within a particular period of time between the residents of the country and the residents of foreign countries.

Question 2.
What do you mean by foreign exchange rate?
Answer:
Meaning:
The rate at which one currency buys or exchanges another currency is known as the rate of exchange. It simply expresses its external value or purchasing power. Foreign exchange rate between the currency units of two countries means the number of units of one national currency that are needed to buy one unit of other national currency.

MP Board Solutions

Question 3.
Differentiate between Balance of Trade and Balance of Payment.
Answer:
Difference between Balance of Trade and Balance of Payment:
Balance of Trade:
The difference between exports and imports is called balance of trade.

Balance of Payment:
The difference between the total receipts of foreign exchange and total payment of foreign exchange is called balance of payment.

Question 4.
What do you mean by unfavourable balance of payment? Explain.
Answer:
Unfavourable balance of payment:
It is also called the deficit balance of payment. It refers to the situation when the total liability for payments of a nation exceeds the total receipts from foreign countries. Hence certain additional transactions are necessary to balance it such as export of gold, withdrawal of deposits in foreign banks etc.

Question 5.
What do you mean by capital account?
Answer:
Capital account is that account of balance of payment which records all such transactions between the residents of a country and rest of the world which cause a change in asset or liability of the country.

Question 6.
What do you mean by current account of balance of payment?
Answer:
Current account is that account of balance of payment which records imports and exports of goods and services and unilateral transfers. It includes visible, invisible and unilateral transfers.

Question 7.
What do you mean by managed floating system?
Answer:
Managed floating system is a mixture of flexible exchange rate system and fixed rate system. (The float part + managed part). Under this system the central bank tend to intervene to buy and sell foreign currencies in an attempt to reduce fluctuation in exchange rate.

Question 8.
What do you mean by protection?
Answer:
When by ending the freedom of foreign trade the ban is put on import and export of goods it is called protection.

Question 9.
Write one advantage of open economy?
Answer:
Investors get the choice of selection among domestic products and foreign goods.

Question 10.
What do you mean by dumping?
Answer:
When the goods are excess than demand then the seller sells this goods in foreign countries on lower rate it is called dumping.

Question 11.
Write points in favour of fixed exchange rate.
Answer:

  1. To encourage international trade.
  2. Formation of capital.
  3. Encouragement to foreign capital
  4. Encouragement to export countries.

Question 12.
What do you mean by foreign trade multiplier?
Answer:
Foreign exchange rate multiplier tells us how many times increase takes place in national income by increasing in export.

Question 13.
What does a balance of payment record?
Answer:
The balance of payment records the transaction in goods and services and assets between residents of a country with the rest of the world.

Question 14.
What is dirty floating?
Answer:
When managed floating in the absence of rules and guidelines are implemented, it is called dirty managed floating system.

Question 15.
What do you mean by import and export?
Answer:
Import:
When goods and services are brought from the foreign countries to the domestic countries it is called import.

Export:
Goods and services are send to foreign countries from domestic countries.

MP Board Solutions

Question 16.
What does foreign exchange market include?
Answer:
Foreign exchange market includes banks specialised foreign exchange dealers, brokers, government agencies through which the currency of one country can be exchanged for that of other country.

Question 17.
What do you mean by flexible exchange rate?
Answer:
Flexible rate of exchange:
It is freely determined by the prices of supply and demand in the internal market.

Question 18.
What do you understand by managed floating rate system?
Answer:
It is a hybrid of a fixed exchange rate and flexible exchange rate system. In this system, central bank intervenes in the foreign exchange market to restrict the fluctuations in the exchange rate within certain limits. The aim is to keep exchange rate close to desired target values.

Question 19.
Give arguments in favour of fixed exchange rate.
Answer:
Following points can be studied in favour of fixed exchange rate:

  1. Encouragement to international trade.
  2. Encouragement to foreign capital.
  3. Capital formation.

Question 20.
Write points against fixed exchange rate.
Answer:
Following are the points against fixed exchange rate :

  1. Controlled economy.
  2. Encouragement to corruption.
  3. Sudden change in exchange rate.
  4. Unfavourable effect on economic development.

Question 21.
Explain two merits and two demerits of fixed foreign exchange rate.
Answer:
(a) Two merits of fixed foreign exchange rate :

  1. Fixed foreign exchange rate ensures stability in exchange rate. The exporters and importers do not have to operate under uncertainty about the exchange rate. Thus, it promotes foreign trade.
  2. It also promotes capital movements.

(b) Two demerits of fixed foreign exchange rate :

  1. Under this system, countries with deficit in balance of payment run down the stock of gold and foreign currencies. This can create serious problem for them.
  2. There may be undervaluation of currency.

Question 22.
Write down the advantages of fixed exchange rate system.
Answer:
Advantages of fixed exchange rate system :

  1. This system ensures stability in the international money market/ exchange market.
  2. It encourages international trade.
  3. It promotes bilateral trade agreements.
  4. It avoids speculation.
  5. It keeps the government under pressure to combat inflation.

Balance of Payments Short Answer Type Questions

Question 1.
What do you mean by fixed exchange rate? Write three points against it.
Answer:
A fixed exchange rate is a regime applied by a country whereby the government or central bank ties the official exchange rate to another country’s currency or the price of gold. The purpose of a fixed exchange rate system is to keep a currency’s value within a narrow band.

Following are the different points against the fixed exchange rate:
1. Controlled economic system:
For fixed rate of exchange it is compulsory to have strict control over economic system. If it is not possible then we will have to make changes in exchange rate.

2. Unfavourable effect on economic progress :
The main aim of fixed rate of exchange is to maintain stability in exchange rate. In this situation sometimes national income, employment policy, price level etc. are considered as secondary.
MP Board Class 12th Economics Important Questions Unit 10 Balance of Payments 2

3. Corruption:
To maintain fixed exchange rate many restrictions are imposed in the country. Due to strict restrictions there is always possibility of corruption in the society.

4. Sudden change in the exchange rate:
Some times it becomes evitable to make changes in exchange rate. To keep the exchange rate stable some times currency of the nation becomes weak. In such stuation sometimes the there is devaluation. It has adverse effect on foreign trade and balance of payment.

Question 2.
What is meant by flexible exchange rate? Give arguments in favour and against flexible exchange rate.
Answer:
A system in which rate of exchange is determined by the sources of demand and supply of different currencies in foreign exchange market.

Following points which can be studied in favour of flexible exchange rate :

1. Independent economic policy : If the exchange rates are elastic any country can make their domestic economic policies internal policies) independently.
MP Board Class 12th Economics Important Questions Unit 10 Balance of Payments 3

2. Implementation of monetary policy independently : If the rate of exchange is flexible monetary policy in the nation can be independently and effectively by changing the monetary policy.

Following points which can be studied against the flexible exchange rate :

1. Adverse economic effect:
If the flexible exchange rate is there then the feeling of insecurity comes in the minds of traders. It has an adverse effect on the foreign trade of the country. The tendency of gambling increases. If the exchange rate is reduced the inflation increases. The level of employment opportunities also go down.

2. Misuse of the resouroes:
If exchange rate goes on changing very often then the resources have to distributed again and again sometimes the resources are used in export sometimes for domestic industries. Due to these changes there is always wastage of resources.

MP Board Solutions

Question 3.
What do you mean by balance of payment? What are the causes of adverse balance payment in India?
Or
Explain four causes of adverse balance of payment.
Answer:
Meaning of balance of payment:
The balance of payment of a nation consists of the payments made, within a particular period of time between the residents of the country and the residents of foreign countries.

Following are the causes of adverse balance of payment in India:
1. Increase in imports of petroleum products:
Oil producing countries are increasing the price of petroleum products every year. Along with it the consumption of petroleum products is also increasing day by day. Due to this import is done on lkrge scale.

2. Increase in import of machines:
Due to economic planning there is rapid growth in industrialization and progress in agricultural development. For this the need of machines was felt. Due to this reason more import has to be done.

3. Less increase in export:
The export did not increase according to expectations which is one of the causes of unfavourable balance of payment.

4. International loans and investment:
India has taken loan for developmental purpose. To repay the principal amount and interest, foreign exchange has to be paid. It gave rise to the situation of adverse balance of payment.

Question 4.
Suggest measures to improve the condition of adverse balance of payment
Answer:
Measures or method to correct adverse balance of payment : Following steps should be taken to improve adverse balance of payment in India :

1. Encouragement to export:
The government should encourage the export.

  • The trade policy should be export oriented
  • For this export tax should be reduced or some concession should be given for export of some goods
  • Economic assistance should be provided to the industries of the country
  • Advertisement should be done in foreign countries for the products.

2. Reduction in import:
India should reduce imports. For this import duty should be raised so, that imported goods will become expensive and people will be discouraged to purchase them. Domestic products should be discouraged reduce the imports. It will give rise to favourable balance of payment.

3. Foreign debt:
To remove adverse balance payment government can take foreign loan. But taking loan is a temporary solution of it.

4. Exchange control:
For keeping the balance payment exchange control is one method. By controlling exchange we can reduce import and increase export.

Question 5.
Give arguments in favour and against fixed exchange rate.
Or
Give arguments in favour of fixed exchange rate.
Answer:
Follo’wing are the points which can be studied in favour of fixed exchange rate :

1. Encouragement to international trade:
Under fixed exchange rate both importer and exporter know about the amount he has to pay and how much he will be getting. Thus in fixed exchange rate international trade develops in a balance way. Here there is less risk.

2. Encouragement to foreign capital:
If the exchange rate is stable foreign exchange can easily flow into the country because investor is not scared of getting less amount than what is fixed. There is no fear of bearing of loss if the rate of exchange is reduced.

3. Capital formation:
If the foreign exchange rate is fixed there is a favourable effect on internal condition of the country. There is no fear of inflation. In industry demand of capital is increased, savings is also increased. Thus rate of capital formation increases. It gives rise to the development of the country.

4. Exchange system:
If the exchange rate is fixed it does not give encouragement to the tendency of gambling. Thus government can control the exchange system in proper way.

5. Essential for export countries:
Some of the country depend on the income coming from export. Half the national income of such countries comes from exports. For countries like England, Denmark, Japan etc. fixed rate of exchange is very essential otherwise there will be adverse effect on its development.

Following points are there against the fixed rate of exchange :

1. Controlled economic system:
For fixed rate of exchange it is compulsory to have strict controlled over economic system. If it is not possible then we will have to make changes in exchange rate.

2. Unfavourable effect on economic progress:
The main aim of fixed rate of exchange is to maintain stability in exchange rate. In this situation sometimes national income, employment policy, price level etc. are considered as secondary.

3. Corruption:
To maintain fixed exchange rate many restriction are imposed in the country. Due to strict restriction there is always possibility of corruption in the society.

Question 6.
Differentiate between Balance of Trade and Balance of Payment.
Answer:
Differences between Balance of Trade and Balance of Payment:

Balance of Trade:

  • The difference between exports and imports is called balance of trade.
  • It refers to detailed description of imports and exports only.
  • It includes visible items only.
  • It may be favourable and unfavourable.
  • If balance of trade is not favourable it is not a cause of great concern.
  • Balance of trade is a part of balance payment.

Balance of Payment:

  • The difference between the total receipts of foreign exchange and total payment of foreign exchange is called balance of payment.
  • It comprises not only exports and imports but also services, capital, gold etc.
  • It includes visible as well as invisible items both.
  • It is always balanced.
  • If the balance of payment is not favourable it is a cause of great concern for the nation.
  • The concept of balance of payment is broader.

Question 7.
Differentiate between devaluation and depreciation.
Answer:
Differences between devaluation and depreciation:
Devaluation means lowering the value of one’s currency in terms of foreign currency. In this case, the domestic value of currency remains constant but its value in terms of foreign currencies fall. On the other hand, the fall in the price of foreign exchange under flexible exchange rate is known . as depreciation. For instance, if the equilibrium rupee – dollar exchange rate was Rs. 45 and now it has become Rs.50 due to rise in demand for dollars, then the rupee has depreciated against dollar.

MP Board Solutions

Question 8.
What is the marginal propensity to import when M = 60 + 0.06Y? What is the relationship between the marginal propensity to import and the aggregate demand function?
Answer:
M = 60 + 0.6Y (Given)
M = \(\overline { m } \) + mY
Hence, m = 0.6
Where, m = Marginal propensity to import

Relationship:
There is positive relationship between marginal propensity to import and aggregate demand function. Marginal propensity of income spent. Thus,
m = \(\frac {∆m}{∆n}\)

Question 9.
Explain, why:
G -T = (Sg -1) – (X – M)?
Answer:
G -T = (Sf -1) – (X – M)
Here, G = Government expenditure
T = Taxes
Sg = Saving of government
I – Investment
Sg-I = Net Saving
X = Exporters
M = Importers
X – M = Balance of trade.
The given equation states that net government expenditure equals net government savings and balance of trade. It implies that net government expenditure is financed by government savings and trade deficit. Hence, the given equation is correct.

Question 10.
Should a current account deficit be a cause for alarm? Explain.
Answer:
When a country runs a current account deficit, then he must see whether there has been a decrease in saving, increase in investment or an increase in the budget deficit. There is reason to worry about a country’s long prospects of the trade deficit reflects smaller savings or a larger budget deficit. The deficit could reflect higher private or government consumption. In such cases, the country’s capital stock will not rise rapidly enough to yield enough growth it needs to repay its debt. There is less cause to worry, if the trade deficit reflects a rise in investment, which would build the capital stock more quickly and increase future output.

Question 11.
Distinguish between Balance of Trade and Balance on Current Account.
Answer:
Differences between Balance of Trade and Balance on Current Account:

Balance of Trade Account:

  • Balance of trade account records the difference between value of imports and exports of material goods (visible items). lateral transfer (visible and invisible)
  • Balance of trade is a part of balance on current account. So, it is a narrow concept.

Balance on Current Account:

  • Balance on current account records the difference between receipts and payments of foreign exchange on account of goods, services and uni – items).
  • Balance on current account is a wide concept.

Question 12.
If inflation is higher in country A than in country B and the exchange rate between the two countries is fixed, what is likely to happen to the trade balance between two countries ?
Answer:
Effect of inflation on the trade balance:
As the inflation is higher in country A than country B, so the prices of country A will be higher as compared to those of country B. In this case exports of A country will fail. The aggregate demand will fall and output and income will fall. Comparatively less price in country B will make its products less expensive and hence again increases w.e.f. net export and domestic output and income. The trade balance of country A will become deficit.

Balance of Payments Long Answer Type Questions

Question 1.
Write the components of Balance of payment.
Answer:
The Balance of payment of a nation consist of the payments made, within a particular period of time between the residents of that country and the residents of foreign countries. (MPBoardSolutions.com) In other words, it is an account of transactions involving receipts from foreigners on one side and payments to foreigners on the other side. The farmer relates to the international income of a country, they are called “credits” and since the later relates to the international out go, they are call “debits”.

Balance of payment includes all other payments apart from export and import. For example fee of banks, interest, profit, transfer of capital etc. are also included in balance of payment.

Question 2.
Write the main components of capital accounts.
Answer:
The main components of capital accounts are :

1. Borrowings and lending to and from abroad: It includes :
All transactions relating to borrowings from abroad by private sectors, government, etc.
All transactions of lending to abroad by private sectors and government.

2. Investment to and from abroad:
Investments by rest of the world in shares of
Indian companies, real estate in India etc.
Investments by Indian residents in shares of foreign companies, real estate abroad, etc.

3. Change in foreign exchange reserves:
The foreign exchange reserves are the financial assets of the government held in the central bank.

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Question 3.
Explain the factors affecting fluctuations in foreign exchange.
Answer:
The factors affecting fluctuations in foreign exchange :

1. Banking related effects:
Banks through their functions affect the exchange rate. If the commercial bank float bank draft and other credit letters in large quantity then the demand for foreign exchange increases and the exchange rate of the country currency decreases. On the other hand, when foreign exchange bank floats credit letters against the country then the demand for home currency increases and the exchange rate becomes favourable for the country.

2. Change in prices:
In comparative view the change in prices results in the change of exchange rate of the country.

3. Impact of imports and exports:
Changes in the import and export quantity of country has a direct impact on the countries exchange rate if export increases in comparison to import the demand for foreign exchange. (MPBoardSolutions.com) If exports increase in comparison to imports the demand for foreign exchange increases and the countries exchange rate becomes favourable. But on the other hand if imports increase then the demand for country currency increases in the foreign country and this becomes unfavourable for the country.

4. Impact of speculation:
The changing trend in speculation trends also have an impact on exchange rate. In short period the.high rate of exchange leads to speculation tendencies. The uncertainty of exchange rate in international money market also encourages speculative motive.

5. Flow of capital:
The flow of capital from a country also affects the exchange rate. Flow of capital from one country to another to earn high profits is possible in short period or flow of capital to foreign countries for investment in the long period in the foreign country is also possible.

Question 4.
Explain visible and invisible export and import.
Answer:
Visible Import and Exports:
Such goods are included in visible imports and exports whose account is maintained in the register of ports. By seeing them we can find out the values of import and export done throughout the year. (MPBoardSolutions.com) In it only the export and imports of goods are kept.

Invisible Import and Exports:
In invisible export and import we include services which exchange are included. They are banking services, insurance, shipping services, education in foreign, medical facilities, tourism, interest, profit, military assistance, foreign donation, penalty etc. whose account is not maintained on ports are included in it.

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Question 5.
Suppose C =100 + 0.75Y, 0T = 500, G = 750, taxes are 20% of income. X = 150, M = 100 + 0.2Y. Calculate equilibrium income, the budget deficit or surplus and the trade deficit or surplus.
Answer:
C = 100 + 0.75 YD
Here, C = 100, C = 0.75, I = 500, G = 750, X = 150, M = 100 + 0.2Y
Tax income (r) = 20%
Income (Y) = C + C (1 – t) Y +1 + G + (X – M)
or Y = 100 + 0.75 (1 – 0.2)Y + 500 + 750 + (150 – 100 – 0.2Y)
or Y = 100 + 0.75(0.8) Y + 500 + 750 + 150 – 100 – 0.2Y
or Y= 100 + 0.6Y+ 1300 – 0.2Y
or = 1400 + 0.4Y
or Y – 0.4 Y = 1400
or 0.6Y = 1400
or Y = \(\frac {1400}{0.6}\) = 2333
Deficit budget = Govt. expenditure Tax – (G) – Tax
= 750 – 2333 of 20 %
= 750 – 467 = 283
M = 100 + 0.2Y
= 100 + 0.2 (2333)
= 100 + 467 = 567
So, Trade deficit = M – X = 567 – 150 = 417.

MP Board Class 12th Economics Important Questions

MP Board Class 12th Economics Important Questions Unit 9 Government Budget and Economy

MP Board Class 12th Economics Important Questions Unit 9 Government Budget and Economy

Government Budget and Economy Important Questions

Government Budget and Economy Objective Type Questions

Question 1.
Choose the correct answers:

Question 1.
The duration of Government budget is :
(a) 5 years
(b) 2 years
(c) 1 year
(d) 10 years.
Answer:
(c) 1 year

Question 2.
Budget is presented in the Parliament by :
(a) Prime Minister
(b) Home Minister
(c) Finance Minister
(d) Defence Minister.
Answer:
(c) Finance Minister

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Question 3.
Budget speech in Lok Sabha is given by :
(a) President
(b) Prime Minister
(c) Finance Minister
(d) Home Minister.
Answer:
(c) Finance Minister

Question 4.
Professional tax is imposed by :
(a) Central Government
(b) State Government
(c) Municipal Corporation
(d) Gram Panchayat.
Answers:
(b) State Government

Question 5.
From the following which is included in the direct tax :
(a) Income Tax
(b) Gift Tax
(c) Both (a) and (b)
(d) Excise Tax.
Answer:
(c) Both (a) and (b)

Question 6.
Who issues 1 rupee note in India :
(a) Reserve Bank of India
(b) Finace Ministry of India
(c) State Bank of India
(d) None of these.
Answer:
(b) Finace Ministry of India

Question 2.
Fill in the blanks:

  1. …………………… is a document containing income and expenditure of the government.
  2. Income tax is …………………… tax.
  3. …………………… tax is levied on the value of the goods.
  4. Service tax is levied by the ……………………
  5. budget is considered good for the country.
  6. Finance bill contains …………………… proposals.
  7. Government budget is presented on the last day of ……………………

Answer:

  1. Budget
  2. Direct
  3. Advalorem
  4. Central
  5. Deficit
  6. Tax
  7. February.

Question 3.
State true or false :

  1. Deficit budget is not considered as a good budget.
  2. Electricity tax is levied by the State Government.
  3. Budget speech is given by the Finance Minister.
  4. Central excise duty is direct tax.
  5. Interest payment is a planned item.
  6. During deflation surplus budget is made.
  7. Rail budget is generally not included in the annual budget.

Answer:

  1. False
  2. True
  3. True
  4. False
  5. False
  6. True
  7. True.

Question 4.
Match the following
MP Board Class 12th Economics Important Questions Unit 9 Government Budget and Economy 1
Answer:

  1. (b)
  2. (d)
  3. (a)
  4. (e)
  5. (c)

Question 5.
Answer the following in one word/sentence :

  1. Write meaning of surplus budget.
  2. Expenditure on education is considered as?
  3. Who passes the budget presented by the Finance Minister every year?
  4. Which tax was levied by the government on July 2017?
  5. For how many years government makes budget?
  6. What is the full form of G.S.T.?
  7. Land Revenue is levied by whom?
  8. What is the name gives to budget?

Answer:

  1. More income and less expenditure
  2. Developmental
  3. Parliament
  4. G. S. T
  5. 1 year
  6. Goods and Service Tax
  7. By State Government
  8. Master Finacial Scheme of Government.

Government Budget and Economy Very Short Answer Type Questions

Question 1.
What do you mean by government budget? How many types are there?
Answer:
A budget is the statement of financial plan of the government for a financial year (1st April to 31st March). It indicates the revenue expenditure estimates for the next financial year of the government.

Budget is of two types:

  1. Capital budget
  2. Revenue budget.

Question 2.
What do you mean by primary deficit?
Answer:
Primary deficit is the difference between fiscal deficit and interest payments. It indicates how much government borrowing is going to meet expenses other than interest payments. It is often used as the basic measure of fiscal responsibility.
Primary Deficit = Fiscal Deficit – Interest payments

Question 3.
What is tax?
Answer:
A tax is a compulsory contribution which is given by the people to the government in order to meet the expenditure on the welfare of the citizens.

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Question 4.
What is deficit budget?
Answer:
When the expenditure of the government is more than the income of the government, it is called deficit budget.

Question 5.
What do you mean by supplementary budget?
Answer:
Supplementary budget is prepared for the temporary period. It is prepared during the period of emergency like flood, war, earthquake etc.

Question 6.
What do you mean by zero primary deficit?
Answer:
When government has to take loan only to fulfill the liability of interest it is called zero primary deficit.

Question 7.
What do you mean by vote on account?
Answer:
Special arrangement is made under which special power is vested with lok sabha to sanction some amount as advance till the financial budget is passed for the next year.

Question 8.
What is tax evasion?
Answer:
When people do not pay tax by hiding income it is called tax evasion.

Question 9.
What do you mean by surplus budget?
Answer:
When the income of the government is more than expenditure of the government in budget, it is called surplus budget.

Question 10.
What is a balanced budget?
Answer:
Budget in which income and expenditure of the government is equal is called balanced budget.

Question 11.
Write the tax multiplier.
Answer:
Tax multiplier = \(\frac {-c}{1 – c}\)

Question 12.
What do you mean by debt trap?
Answer:
Generally developing countries take loans from foreign countries to fulfill their projects and plans. Developing countries have to pay debt along with the interest on it. To pay this amount again government has to take loan. Thus, principal amount goes on increasing. These countries take loan from one country and pay loan of other country. Thus these countries go in the clutches of debt. This is called debt trap.

Question 13.
Write the main revenue sources.
Answer:
Public revenue:
By public revenue we mean all those income of the government which are essential for government expenditure. Public revenue can be divided into two parts :

  1. Revenue receipts
  2. Capital receipts.

1. Revenue receipts (Items of income) are of two types :

(A) Tax revenue : It includes all direct and indirect taxes which are imposed by the central government. For example, Income Tax, Corporation Tax, Production tax.

(B) Non – tax revenue :

  • Interest receipts
  • Dividends and Profits
  • Foreign grants
  • Fiscal services, Economic services, Subsidiary assistance.

Question 14.
Give the relationship between the Revenue deficit and the Fiscal deficit.
Answer:
Revenue deficit refers to the excess of Government’s revenue expenditure over revenue receipts whereas fiscal deficit is the difference between the government’s total expenditure and its total receipts excluding borrowings.

Question 15.
Explain why public goods must be provided by the government.
Answer:
Public goods must be provided by the government as they cannot be provided through market mechanism i.e., by transactions between individual consumer and producers.

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Question 16.
Explain the relation between government deficit and government debt.
Answer:
Relation between government deficit and government debt: The government deficit and government debt are closely related. The government deficit in a flow concept, but it adds to the stocked debt. If the government continues to borrow year after year there is an accumulation of debt. It implies that government has to pay more and more by way of interest. These interest payment contribute to the debt. Thus, deficit is the cause and effect of debt.

Question 17.
Explain the concept of Deficit budget.
Answer:
Deficit budget: It is the budget in which government receipts are more than government expenditure.
Formula = Expected public income < Expected public expenditure.

Government Budget and Economy Short Answer Type Questions

Question 1.
What is a government budget? Write its objectives. (Delhi, Foreign 2013)
Answer:
“A budget is the statement of the financial plan of the government for a financial year” (1st April to 31st March). It indicates the revenue expenditure estimates for the next financial year of the government. The main objectives of budget are as follows :

  1. Reallocation of financial resources.
  2. Removal of inequality of income and wealth.
  3. Stabilization of price level.
  4. Management of public enterprises.
  5. Expansion of employment opportunities.

Question 2.
How inequalities in income can be removed through budget?
Or
What is the role of budget in removing income inequalities? (Delhi, All India 2011, Foreign 2012)
Answer:
Fiscal policy implies the income and expenditure policy or the budgetary policy of the government. It is a branch of public finance which deals with the types of financial statements made by any government about its probable revenue and expenditure during a given year.

Through their fiscal policies government can play a significant role in reducing inequality of income and wealth as well as inequality of opportunity. Both tax and spending policies can alter the distribution of income over both short term and medium term. Government need to reform the policies by imposing more taxes oh riches sections and to reduce the burden of tax on poor with the motive of economic welfare of the poor people.

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Question 3.
Explain in brief how economic stability can be obtained by government budget? (All India 2011)
Answer:
Government budget is used to prevent business fluctuations of inflation or deflation to achieve the objective of economic stability. The government aims to control the different phases of business fluctuations through the budgetary policy. Policies of surplus budget during inflation and deficit budget during deflation helps to maintain stability of prices in the economy.

Question 4.
What is the role of government in Reallocation of Resources? Explain. (Delhi 2012)
Answer:
Through the budgetary policy, Government aims to reallocate resources in’ accordance with the economic and social priorities of the government. Government can influence allocations of resources through:

1. Tax concessions or subsidies:
To encourage investment, government can give tax concessions subsidies etc. to the producers, example Government discourages the production of harmful consumption goods through heavy taxes and encourages the use of khadi products ‘by providing subsidies.

There is disequilibrium in the balance of payments when imports are more and exports are less. With demonitization of Indian rupee imports have become costlier, efforts can be made to make balance of payments favourable. But this cannot be done again and again because by this demand of our currency will decrease.

Question 5.
Explain four types of public expenditure.
Answer:
Following are the types of public expenditure :

1. Developmental expenditure:
Under it we include those expenditure which are done for the economic development and social welfare of people. It includes education, medicine, industry agriculture, transportation roads, canals, water welfare, electricity etc.

2. Non – development expenditure:
This expenditure includes that expenditure which is done on administration, on security and legal procedure of the government. It includes salaries of police department, military department, interest on loans, pension etc.

3. Plan expenditure:
It includes expenditure to be incurred during the year on programmes under the five year plan by planning commission. In this expenditure investors and consumers both are included. For example, economic activities like agriculture, industry transportation, communication etc. It also includes social welfare activities like education, family welfare, information and communication, drinking water, cleanliness, health etc.

4. Non – plan expenditure:
It includes all those expenditure other than plan expenditure. It includes debt given to State Government and others, expenditure on maintenance of property, expenditure on purchase of shares.

Question 6.
Differentiate between Direct Tax and Indirect Tax
Answer:
MP Board Class 12th Economics Important Questions Unit 9 Government Budget and Economy 3

Question 7.
Differentiate between Revenue Expenditure and Capital Expenditure.
Answer:
Differences between Revenue Expenditure and Capital Expenditure :

Revenue Expenditure:

  • Revenue expenditure is a current expenditure incured on civil administrations, defence forces, public health and education.
  • It is of recurring type of expenditure. It is incurred regularly.
  • It is called non – developmental expenditure.

Capital Expenditure:

  • It refers to expenditure which leads to creation of assets or reduces liabilities.
  • It is a non – recurring type of expenditure.
  • It is called developmental expenditure.

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Question 8.
Differentiate between Developmental and Non – Developmental Expenditure.
Answer:
Differences between Developmental and Non – Developmental Expenditure:

Developmental Expenditure:

  • It is incurred on economic and social development of the country.
  • Expenditure on agriculture, industries, transport, etc. are included in it.

Non – Developmental Expenditure:

  • Its nature is non – developmental type.
  • Expenditure on administrative services like police defence, grants to government, etc. are included in it.

Question 9.
What do you mean by budget? Write its characteristics.
Answer:
Origin of the word in India:
The word ‘budget’ has been derived from the French word ‘Bougette’, which means small bag. It symbolizes a bag containing the financial proposals. In England, the chanceller used to bring economic proposals and statements in a bag; In 1773, finance minister of Britain, Robert Walpole opened his leather bag for the budget proposal to take place in Parliament. From that it becomes popular in India.

Characteristics of budget : Following are the characteristics of budget:

  1. Annual plan of income and expenditure : It is a description of annual income and expenditure of the government for the next financial year. It is a detailed description.
  2. Fixed period : Budget is prepared before a fixed period. It is presented before the Parliament by finance minister on the last day of the month of February. It is related to the definite fixed period.
  3. Financial discussion: In budget only financial discussion takes place.Other matters are not discussed here.
  4. In advance : Budget is prepared in advance for the period during which it is to operate. It is an annual financial action plan for the next financial year.
  5. Balance budget : Balanced budget is the symbol of economic stability of the country.

Question 10.
Write the objectives of budget.
Answer:
The objectives of budget are as follows :
1. Reallocation of financial resources:
The government reallocates the financial resources to achieve the desired goals. It is the primary responsibility of the government to build a sound socio – economic infrastructure regarding health housing, education and raising the standard of living of people. Government imposed more taxes on those items which are harmful for people on the other hand it may reduce the taxes which are useful from social point of view.

2. Removal of inequality of income and wealth:
Every nation tries to bring equality between the various sections of the people and to bridge the gap between poor and rich. Through subsidies, taxes government can remove their inequalities. The main objective of Budget is to fill the gap of rich and poor.

3. Stabilisation of price level:
It is the responsibility of the government to stabilise the price level in the country. Unnecessary fluctuation in the prices of goods and services adversely affect the economy. Through the budget the government can effectively control the price level and bring about stability in it.

4. Management of public enterprises:
The government looks after certain departments such as railways, post and telegraph, electricity, defence etc. The budget of the government makes special provisions for such public enterprises in order to safeguard the interest of public.

5. Expansion of employment opportunities:
Government throughout budget create the employment opportunities to people. Various employments oriented and productive programs can be implemented for this purpose.

Question 11.
Differentiate between Progressive Tax and Regressive Tax.
Answer:
Differences between Progressive Tax and Regressive Tax :

Progressive Tax:

  • In progressive tax the rate of the tax increses as the taxable income increases.
  • The burden of it is more on rich people.
  • They are justified because they reduce inequalities of income.

Regressive Tax:

  • In regressive tax the rate of the tax decreases as the taxable incomes increases.
  • The burden of it is on poor people.
  • These are not justified because they increase inequalities.

Question 12.
Write difference betw een Revenue Receipts and Capital Receipts. (Foreign 2013)
Answer:
Differences between Revenue Receipts and Capital Receipts :
MP Board Class 12th Economics Important Questions Unit 9 Government Budget and Economy 4

Question 13.
Write a note on Surplus budget, Balance budget and Deficit budget.
Answer:
A budget is the statement of the financial plan of the government for a financial year. It indicates the revenue expenditure estimates for the next financial year. The different types of budget are :

  1. Surplus Budget – When in budget the income of the government is more than expenditure of the government, it is called Surplus Budget.
  2. Balance Budget – Balance budget is said to be balance when government revenue and expenditure are balanced.
  3. Deficit Budget – If the expenditure of the government is more than the income of the government, it is called the Deficit Budget.

Question 14.
Does public debt impose a burden? Explain.
Answer:
Public debt does not impose a burden all the times. Only in the following situation, it imposes a burden. When government sectors to public debt, the government transfers the burden to reduce consumption on future generation, because the government may decide to pay off deut in future by raising taxes. Taxes reduce the savings and capital formation and growth. Thus, the debt acts as a burden on future generation.

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Question 15.
(a) The fiscal deficit given the borrowing requirement of the government. Explain.
Answer:
Fiscal deficit gives the borrowing requirement of the government’s total expenditure and its total receipts excluding borrowing. The fiscal deficit has to be financed through borrowing. Thus, it indicates the total borrowing requirements of the government from all sources.

(b) Are fiscal deficits inflationary? (NCERT)
Answer:
It is not correct to that all deficits are necessarily inflationary. If the fiscal deficit results in higher demand and greater output, the fiscal deficit will not be inflationary. However, if the firms are unable to produce the higher quantities that are being demanded to due fiscal deficits, prices will rise resulting the inflationary.

Question 16.
We suppose that: C= 70 + 0.70YD, I = 90, G = 100, T = 0.10 Y
(a) Find the equilibrium income, (b) What are tax revenues at equilibrium income? Does the government have a balanced budget ?
Solution:
(a) Y = \(\frac {1}{1 – 0.70}\)(70 + 90 + 100)
Y = \(\frac {1}{0.30}\)(260)
Y = \(\frac {260}{0.30}\) = 866.66

(b) Tax revenue on balance budget (T) = 0.10 Y T = 0.10 (866.66) T = 86.66.

Question 17.
Suppose that for a particular economy investment is equal to 200, government purchases are 150, net taxes i.e., lump sum taxes minus transfer in 100 and consumption is given by C = 100 + 0.75. (a) What is the level of equilibrium multiplier? (b) Calculate the value of government expenditure multiplier and the tax multiplier, (c) If government expenditure increases by 200, And the change in equilibrium income.
Answer:
(a) The government directly affects the level of equilibrium income in two specific ways : 1. Purchase of goods and services and 2. Taxes and transfers. Taxes lower the consumption expenditure and disposable income. Hence, we use the following formula for calculating the level of equilibrium income:
Formula: Y = \(\frac {1}{1-c}\)(C – CT + CTR+ 1 + G)
MP Board Class 12th Economics Important Questions Unit 9 Government Budget and Economy 5

(b) Govt expenditure multiplier:
\(\frac { ∆Y}{∆G}\) = \(\frac {1}{1-c}\)
\(\frac { ∆Y}{∆G}\) = \(\frac {1}{ 1-0.75}\) \(\frac {1}{0.25}\)
Tax multiplier \(\frac { ∆Y}{∆G}\) = \(\frac {-C}{1-c}\)
\(\frac { ∆Y}{∆G}\) = \(\frac {-0.75}{ 1-0.75}\) = \(\frac {-0.75}{ 0.25}\) = – 3

(c) If income of Govt, increases by 200 :
MP Board Class 12th Economics Important Questions Unit 9 Government Budget and Economy 6

Question 18.
In the equation given in question 9, calculate the effect on output of a 10 increase in transfers and 10 increase in lumpsum taxes. Compare the effects of two.
Solution:
Transfer multiplier, = \(\frac {C}{1-C}\)
= \(\frac {0.80}{1-0.80}\)
= \(\frac {0.80}{0.20}\)
= 4
Increase in transfer = 10%
Hence, increase in output = 10%
Tax multiplier = 4
Decrease in output = 10 x 4 = 40%
or
Y = \(\frac {1}{0.20}\)(20 – 8 + 88 + 30 + 50)
Y = 5 x 188 = 940
Increase lump sum, its effect,
or Y = \(\frac {1}{1-0.80}\)(20 – 8 + 80 + 30 + 50)
Y = 5 x 172 = 860.
Hence, we find that effected change in transfer and change in taxes are equal. It is due to fact that their size of changes as well as multiplier are equal.

Question 19.
What do you understand by Goods and Service Tax (G.S.T.)? How is G.S.T. better than old system of taxation? Explain its types.
Answer:
(a) The Goods and Services Tax (G.S.T.) is a value Added Tax (VAT) levied on most goods and services sold for domestic consumption. The G.S.T. is paid by consumers, but it is remitted to the government by the businesses selling the goods and services:

G.S.T. in comparison with old taxation system :

  1. In place of old taxation system, G.S.T. will become one tax economy.
  2. The tax structure will be simplified with G.S.T.
  3. G.S.T. will save both time and money.
  4. The growth rate of economy will show a rapid increase with G.S.T.
  5. But for the time being, the G.S.T. would be expected to increase the inflation rate in comparison to the old tax system.

For Goods and Services Tax, G.S.T., U.T.G.S.T. Act and S.G.S.T. tax are passed.

Government Budget and Economy Long Answer Type Questions

Question 1.
Explain the types of budget.
Answer:
The types of budget are as follows :
1. Central budget:
Central budget is prepared by Central Government. It is the numerical statement of income and expenditure done by central government. In India Central budget is presented in two parts:

  • General budget
  • Railway budget.

2. State budget:
State budget is prepared by State Government. State Government takes the help from Central Government.

3. Revenue budget and Capital budget:
In revenue budget we include the expenditure and income related to revenue of the government. On the other hand in capital budget the capital expenditure and capital income is included.

4. Supplementary budget:
Supplementary budget is prepared for the temporary period. It is prepared during the period of emergency like flood, earthquake and war etc. There is no fixed time for it.

5. Balanced budget and Imbalanced budget:
Balance budget is that budget where income and expenditure of the government is equal. Imbalanced budget is that budget where expenditure is more or less than income of the government. If the expenditure is more than income it is called deficit budget and if the income is more than the expenditure it is called surplus budget.

Question 2.
Explain the procedure of the budget.
Answer:
Under the budgetary procedure in India we can study the following heads:

1. Preparation of budget : The preparation of budget involves the following steps :

  • Sending estimate forms by finance minister to all ministers and their department’s heads to get the estimates of revenue and expenditure required for the next financial year.
  • Preparation of estimates by departmental heads : It includes revenue and expenditure of previous year budgetary estimate for next coming year.
  • Preparation of consolidated estimate by the various ministers and sending them to finance minister.
    Scruting report estimates by A.G. of India and sending the same to finance ministry.

2. Presentation of the budget : In India the budget is presented in two parts :

  • General budget and
  • Rail budget.

Rail budget is always present before the general budget. General budget presented on the last day of the month of February at 5 p.m. generally 28th in February.

3. Discussion on the budget:
Budget is put before the Parliament for discussion. In the processes of passing the budget, the discussions on various items continues for 3 – 4 days. Presently different committees are formed. For the discussion and finance minister gives his final reply on the budget.

4. Voting on budget:
After the general discussion the budget is put for voting. The members of parliament give their speeches for and against the budget before voting. There after voting is held for passing the budget.

5. Appropriation bill:
The finance minister presents appropriation bill. According to the constitution no amount from the Reserve fund of India can be withdrawn without passing the appropriation bill in the Parliament.

6. Financial bill:
All the financial proposals for the coming year are included in a bill which is known as financial bill. This bill is generally presented immediately after the presentation of budget in the Lok Sabha. If this bill is not passed by the Parliament f ur government L not supposed to spend any amount.

7. Vote on account:
Special arrangement is made under which special power is vested with Lok shabha to snetion some amount as advance till the final budget is passed for the next year.

8. Implementation of budget:
After the budget is passed, it is implemented by the government for which the following steps are taken :

  • Collection of revenue
  • Preparation of accounts in
  • Audit by A.G. (Auditor General).

Audit by comptroller and Auditor General of India presents their report before the Parliament which comprise the receipt of revenue, expenditure, loans taken.

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Question 3.
Write the tax revenue sources of Public Revenue:
Answer:
Following are the sources of Public Revenue :
Tax:
Taxes are neither a fees nor a penalty because it is neither taken by the government to give any additional benefits nor taken as a fine. Taxes are compulsory contribution which are given by the people to the government in order to meet the expenditure on the Welfare of the citizens.

Types of taxes : Taxes are of following types :

  • Progressive tax – In progressive tax the rate of my increases as the income increases
  • Proportional tax – Proportional taxes are those taxes whose impact and incidence falls equally on both the sections of the society.
  • Regressive tax – The rate of taxation decreases with the increase in income. The burden of text falls more heavily on poor than on rich.
  • Direct taxes – These are those taxes in which the impact of the tax and incidence of tax is on the same person.

Question 4.
What do you understand by Non – tax sources of public revenue?
Answer:
Following are the non – tax sources of public revenue:

1. Fees, licence and permit:
Government gets non – tax revenue from fees licence fee and payment made for permits.

Fees – Registration fee for land, death and birth registration fees, passport fees are included in it.

Licence and permit – Fee is that fee which is paid by people to government after giving permission by the government to the people to do something. For example: Driving licence, import licence etc.

2. Fines:
Fines are collected by the govt, for breaking rules of the country. The main aim of this is not to collect money but to teach people lesson about it.

3. Income from public enterprise: Government may raise funds from many sources like Railways, Postal department, Steel Plants fertilizer Corporations, Indian Oil department etc. Government sells products of it and gets profit from it.

4. Gifts and grants: The government may raise the funds from others. During calamities like flood, earthquake etc. citizens and some NGO’s give help to the government . For example : W.H.O., UNESCO etc. they give assistant also during this period.

5. Notes issues:
Sometimes government prints extra notes and increase the treasury. Reserve Bank of India has got the right of printing notes and minting coins.

6. Stamp, registration and land revenue: The receipts of stamps, registration and land revenue is the another source of non – tax revenue. The stamp receipts of Supreme court is also the income of the central government.

7. Interest, receipts : Interest earned by  the government from the loans given to States, Union territories. Railways, Post and Telegraph are included in it.

8. Dividends: This includes the share from profits of various undertakings in which the central government has done investments example SAIL, ONGC etc.

9. Administrative receipts:
The central government provides a number of services to people like health, medical, education etc. The government earns certain income from these services. For example; court fees, registration fees.

MP Board Solutions

Question 5.
Consider an economy described by the following functions. C = 20 + 0.80 Y, I = 30, G = 50, TR = 100.
(a) Find the equilibrium level of income and the autonomous expenditure multiplier in the model,
(b) If the government expenditure increases by 30, what is the impact on equilibrium income?
(c) If a lump sum tax of 30 added to pay for increase in government purchases, how will equilibrium income change?
Answer:
C = 20 + 0.80y
I = 30
G = 50
TR = 100
(a)
Y = \(\overline { C } \) + CY – (T – TR)
Y = 20 + 0.80 (Y + TR) + I + G
Y = 20 + 0.80 (Y + 100) + 30 + 50
Y = 0.8Y + 180
Y = \(\frac {180×100}{200}\)
= 900
The equilibrium level of income is 900. Autonomous expenditure multiplier.
= \(\frac {1}{1 – C}\)
= \(\frac {1}{1-0.08}\)
= \(\frac {1}{0.20}\)
= 5
Increase in equilibrium income = AG x Expenditure multiplier = 30 x 5 = 150
Tax multiplier = \(\frac {-C}{1 – C}\) = \(\frac {-0.08}{1-0.08}\) = \(\frac {-80}{0-20}\) = -4
Decrease in equilibrium income = ∆T x Tax Multiplier
= 30 x 4 = 120.
or
Y = \(\frac {1}{0.20}\)(180)
Y = 5 x 180 = 900
autonomus multiplier \(\frac { ∆Y}{∆G}\)= \(\frac {1}{1 – C}\)
or
\(\frac { ∆Y}{∆G}\) = \(\frac {1}{1-0.80}\) = \(\frac {1}{0.20}\) = 5

(b) Expenditure of govt, increase by 30 :
(∆Y) = \(\frac {1}{1 – C}\) ∆G
or
∆Y = \(\frac {1}{1-0.80}\) x 30
= \(\frac {1}{0.20}\) x 30 = 5 x30 = 150
New income = 900 + 150 = 1,050
So, it is clear that by 30 it become 150 to 1,050.

(c) Lump sum 30 is added then :
Change in balance income (∆Y) = \(\frac {-C}{1 – C}\) ∆T
or
∆Y = \(\frac {-0.08}{1-0.08}\) x 30
= \(\frac {-0.08}{0.20}\) x 30 = -4 x 30
= 1 – 120
= 900 – 120 = 780

MP Board Class 12th Economics Important Questions

MP Board Class 12th Economics Important Questions Unit 8 Money and Banking

MP Board Class 12th Economics Important Questions Unit 8 Money and Banking

Micro Economics Money and Banking Important Questions

Micro Economics Money and Banking Objective Type Questions

Question 1.
Choose the correct answers:

Question 1.
“Money is what money does”. Who said this:
(a) Hartley Withers
(b) Harte
(c) Prof. Thomas
(d) Keynes.
Answer:
(a) Hartley Withers

Question 2.
Function of money is:
(a) Medium of exchange
(b) Measure of value
(c) Store of value
(d) All of the above.
Answer:
(a) Medium of exchange

Question 3.
Meaning of money supply is:
(a) Money deposits in the bank
(b) Cash available with public
(c) Savings in the post office
(d) All of the above.
Answer:
(d) All of the above.

Question 4.
What is the Central Bank of India:
(a) Commercial Banks
(b) Central Bank
(c) Private Bank
(d) None of these.
Answer:
(a) Commercial Banks

MP Board Solutions

Question 5.
Through which method we can withdraw money from the bank:
(a) Drawing letter
(b) Cheque
(c) A.T.M.
(d) All of the above.
Answer:
(d) All of the above.

Question 6.
Who is the guardian of Indian Banking System:
(a) Reserve Bank of India
(b) State Bank of India
(c) Unit Trust of India
(d) Life Insurance Company of India.
Answer:
(a) Reserve Bank of India

Question 7.
Narasimham Committee is related to what:
(a) Improvement in Taxation
(b) Improvement in Banking
(c) Improvement in Agriculture
(d) Improvement in Infrastructure.
Answer:
(b) Improvement in Banking

Question 2.
Fill in the blanks:

  1. Central Bank of India is………………..
  2. Bank rate is also known as………………..
  3. The bank generates……………….. deposits in credit creation.
  4. When CRR decreases, credit creation………………..
  5. Measure of deferred payment is ……………….. function of money.
  6. Medium of exchange is ……………….. function of money.
  7. The static and dynamic function of money is divided by………………..

Answer

  1. Reserve Bank of India
  2. Redemption
  3. Derivative
  4. Increases
  5. Secondary
  6. Primary
  7. Paul Einzig.

Question 3.
State true or false:

  1. Money is needed for day-to-day transactions.
  2. The precautionary demand for money increases with the proportionate increase in income.
  3. Reserve Bank of India provides loan to public.
  4. Along with the Reserve Bank of India, Commercial banks are also authorized to issue currency.
  5. Reliable money also include cheques.
  6. Reserve Bank of India cannot become the owner of any real estate.

Answer:

  1. True
  2. True
  3. False
  4. False
  5. False
  6. True.

Question 4.
Match the following:
MP Board Class 12th Economics Important Questions Unit 8 Money and Banking 1

Question 5.
Answer the following in one word / sentence:

  1. Name the bank that provides long term loans to the farmers.
  2. Trade cycle is which evil of money?
  3. By increasing liquid fund ratio, which will be the effect on money supply?
  4. “The Banks are not only generators of money but are also creators of money”.
  5. Who has the right to issues paper money?
  6. When was NABARD established?

Answer:

  1. Agricultural or Cooperative banks
  2. Economic
  3. Decreases
  4. Sayer’s
  5. Central Bank
  6. 1982.

Micro Economics Money and Banking Very Short Answer Type Questions

Question 1.
Write two taboo works of Reserve Bank of India.
Answer:
Two taboo works of RBI are:

  1. Reserve Bank cannot accept deposits on interest from the public.
  2. Reserve Bank cannot provide loans for a fixed term.

Question 2.
What do you mean by overdraft facility?
Answer:
Clients who have current account with the bank are granted” the facility of withdrawing more money than actually lying in their accounts. It is called overdraft. This facility is available to reliable person for a short term.

Question 3.
What is commercial bank?
Answer:
Commercial banks are those banks who are established under the Indian Company Act, and they perform all the functions of banks.

MP Board Solutions

Question 4.
Write the meaning of money.
Answer:
According to Prof. J.M. Keynes, Money is that by the delivery of which debt contracts and price contracts are discharged and in the shape of which a store of general purchasing power is held.

Question 5.
Write any two economic defects of Money.
Answer:
Two economic defects of money are:

  1. Money gives birth to trade cycle.
  2. Currency is the trust worthy custodian of money.

Question 6.
When was Reserve Bank of India nationalised?
Answer:
Reserve Bank of India was nationalised on 1st January 1949.

Question 7.
Which is the Central Bank of India? When was it established?
Answer:
Central Bank of India is Reserve Bank of India. It was established on 1st April, 1935.

Question 8.
What do you mean by Bank?
Answer:
Nowadays, the word ‘Bank’ is very common and popular so, general public is acquainted with it. Generally, bank means that institution which deals with transactions of money.

According to Prof. Wicksell:
“Bank is the heart and central point of modem currency system”.

Question 9.
Write definitions of money.
Answer:
According to Prof. Hartley Withers, “Money is what money does”. According to Prof. Seligman, “Money is one thing that possesses general acceptability”.

Question 10.
What is the problem of double coincidence of wants in barter exchange?
Answer:
1. Problem of double coincidence:
In barter system, goods are to be exchanged for goods, hence, it is essential that both the parties should need the goods which other has in exchange of their goods, then only the exchange is possible.

2. For example, ‘A’ possesses a chair and ‘B’ possesses a table. Now if ‘A’ wants to exchange his change for a table then he has to search a person, who needs chair in exchange of table. Thus, becomes a complex process for him to find such man.

MP Board Solutions

Question 11.
‘Money is the medium of exchange,’ Explain.
Answer:
Medium of exchange:
This is the most important function of money. It acts as a medium of exchange. All the exchanges of goods and services are taken place in terms of money. (MPBoardSolutions.com) By paying predetermined price, money can be exchanged with the desired goods and services. A money has the general acceptability, therefore, all the exchanges in an economy take place in terms of money. It is because of this reason that money has been defined as generally acceptable purchasing power.

Question 12.
“Measure of value is the main function of money”. Explain.
Answer:
“Measure of value is the main function of money”:
The main function of money is that it measures the value of goods and services. In other words, the prices of all goods and services are expressed in terms of money. In ancient times it was not possible to measure the value of clothes and wheat. With the introduction of money, this difficulty of measurement disappeared and it became very convinient to measure the value of money. Money acts as a unit of account for all goods, wages salaries, interests etc. The national income, capital formation and other are measured in terms of money.

Question 13.
Write the importance of the money as the store of exchange value.
Answer:
Money acts also as a store of value because:

  1. Money can be stored very easily. Money is a liquid form of capital. It require less place to store.
  2. Money has the merit of general acceptibility.
  3. It is convinient to store money.
  4. Value of money remains relatively stable. Due to all these reasons money is important.

Question 14.
What is meant by money supply? What are its measures?
Answer:
Money supply refers to the total volume of money held by the public at a particular point of time in an economy.
Measures of money supply are:
M1 = Currency and coins with public + Demand deposits of Commercial banks + Other Deposites with RBI.
M2 = M1 + Savings deposits with post office Saving bank.
M3 = M2 + Net time deposits with banks.
M4 = M3 + Total deposits with post office saving bank.

Question 15.
Write difference between Scheduled Banks and Non – Scheduled Banks.
Answer:
Differences between Scheduled Banks and Non – Scheduled Banks:

Scheduled Banks:

  • Scheduled banks are those banks whose names appear in the second schedule of RBI.
  • The paid up share capital together with reserve fund must not be less than Rs. 5 lake.

Non-Scheduled Banks:

  • Non – scheduled banks are those banks whose names do not appear in the second schedule of RBI.
  • The paid up capital of such banks together with cash reserve is less than Rs. 5 lake.

Question 16.
If in an economy, all the customers of the bank deposit their money in the banks and if all of them withdraw their money from the bank then what will be its effect on the economy?
Answer:
If in any economy, bank customers deposit their money in the banks then there will be shortage of money for production and investment activity. As a result, the process of development will come to a stand still. In the same way, if all the customers withdraw their money from the banks, the banking would collapse and economy will face a problem. If in any bank financial crisis arises then central bank is the only bank to settle this problem and all banking systems will collapse.

Question 17,
Write the meaning of Commercial banks?
Answer:
A commercial bank is a financial institution which accepts deposits from the public and gives loans for purposes of consumptions and investment.

Companies Act, 1949:
A banking company is one which transacts the business of banking which means the accepting for the purpose of lending or investment of deposits of money from the public repayable on demand or otherwise and withdrawal by cheque or otherwise.

Question 18.
Write the types of Commercial bank.
Answer:
There are two types of Commercial banks:

1. Scheduled banks:
Scheduled banks are those banks whose names appear in the second schedule of RBI.

2. Non – scheduled banks:
Non – Scheduled banks are those, banks whose names do not appear in the second schedule of RBI. In other words, those banks which do not fulfill the requisite conditions as explained above are called non-scheduled banks.

Question 19.
What is paper money?
Answer:
Paper money is a country’s official paper currency that is circulated for transaction related purposes of goods and services. The printing of paper money is typically regulated by a country’s Central bank / treasury in order to keep the flow of funds in line with monetary policy.

Paper money is that money which is issued by the order of the government. Paper money is in the form of paper notes or currency notes. In India, the Reserve Bank of India enjoys the sole monopoly of issuing currency notes (Paper money).

MP Board Solutions

Question 20.
What do you mean by money supply?
Answer:
Supply of money is a stock concept. It refers to total stock of money (of all types) held by the people of a country at a point of time.

Question 21.
What do you mean by Fiat money or Legal tender money?
Answer:
Fiat money which serves as money on the basis of fiat (order) of the government It is issued by authority of the government. It includes notes, coins.

Question 22.
What do you mean by C.R.R.?
Answer:
Commercial banks are required under law to keep a certain percentage of their total deposit in the Central bank in the form of cash reserves. This is called Cash Reserve Ratio (C.R.R.).

Question 23.
What do you mean by credit money?
Answer:
It refers to that money of which money value is more than commodity value.

Question 24.
Why is paper money called the Legal tender money?
Answer:
Paper money or Paper notes are called as legal tender money because nobody can refuse its acceptance as medium of exchange. It is legal tender. It means people have to accept it legally for different payments.

Question 25.
What do you mean by high powered money?
Answer:
It consist of currency (Notes and Coins in circulation with public and valt cash of commercial banks) and deposits held by the government of India and commercial banks with R.B.I.

Micro Economics Money and Banking Short Answer Type Questions

Question 1.
“Money is a good servant but a bad master”. Explain.
Answer:
Money is becoming essential part of life, it is controlling our activities in such a way that we are completely under it. It should be means but is has become end of life. Till money acts as servant it is useful for human being but as money goes out of control it becomes harmful for the entire economy. This situation arises when supply of money exceeds its demand. Money becomes master instead of servant. It has become the only means of satisfying our wants. We cannot think of our life without money that is why, it is said that “money is good servant but a bad master.”

Question 2.
Define Central bank.
Answer:
Central bank of any country is the highest financial institution of that country. All other banks of the country work under its guidance. According to bank of international settlements. “The central bank in any country is that which has been entrusted the duty of regulating the volume of currency and credit in the country”.

Question 3.
What do you mean by clearing house of Central bank?
or
How Central bank does the work of clearing house?
Answer:
Clearing house:
Representatives of different banks in a city meet at the clearing house of the Central bank. Payments from one bank to other bank are settled through a simple book of adjustments without involving transfers of funds. Daily differences in the clearing between the banks are adjusted by means of debit and credit entries in their respective account with the Central bank.

Question 4.
Write two advantages and defects of Commercial banks.
Answer:
Following are the two advantages of commercial banks:

1. Use of savings for production purposes:
Banks collects small and big savings of the country and use them for various purposes. Banks provide timely financial assistance to traders and industries. Banks help in the distribution of surplus capital in regions where it is not wanted to those regions where it can be used. Large scale transactions would be quite impossible without banks.

2. Facility of capital transfer:
Banks spend money from one place to another easily in less time. They send it through draft, cheques, etc. For the development economy money can be transferred from one place to another.

Defects of commercial banks:

1. Less banking facilities:
Compare to other countries there are less banking facilities available in India.
Some banks do not get proper guidance and instructions from reserve bank of India. It has unfavourable effect on banking system. So, Indian Commercial banking system has not succeeded in attracking the Indian public.

2. Inefficiency:
Most of the commercial banking systems are unable to provide efficient and quick services to their customers. Moreover in India the distribution of commercial banks are in imbalance way.

MP Board Solutions

Question 5.
Differentiate between Reserve Bank and Commercial Bank.
Answer:
Differences between Reserve Bank and Commercial Bank:

Reserve Bank:

  • It is the highest bank of India. It is a controlling bank.
  • There is only one central bank (Reserve bank) in India.
  • It enjoys the monopoly right for note issue.
  • It has no dealing and direct relation with public.
  • The ownership of this bank is in the hands of central government.

Commercial Bank:

  • It is a part of banking system. It is con trolled by Reserve Bank of India.
  • There are many commercial banks in India.
  • A commercial bank does not have such right.
  • It has direct relation and dealing with public.
  • The ownership of this bank is in the hands of government or public.

Question 6.
Why is speculative demand for money inversely related to the rate of interest?
Answer:
Speculative demand for money is made for return in the form of interest. Hence, rate of interest determiners the speculative demand for money of the rate of interest higher the speculative demand for money will be low and vice-versa. The reason is that people will convert their money in bonds when the interest on bond is higher.

In that case, demand for speculative purpose will be low. On the other hand, the rate of interest is lower than the expected interest, people will not convert their money in bonds and keep money in hand for speculative purpose. In this way, a specular demand for money in inversely related to the of interest.

Question 7.
What role of RBI is known as lender of last resort?
Answer:
Lender of last resort:
The Central Bank aslo plays the role of last resort. Lender of last resort means that a Commercial Bank fails to meet his financial requirements from other sources, it can as a last resort, approaches to the Central Bank for loans and advances. The Central Bank consists such bank through discounting of approved securities and bills of exchange. As a last resort, Central Bank exercise control over the entire banking system of the conuntry.

Question 8.
What is liquidity trap?
Answer:
Liquidity Trap:
Everyone in the economy holds his wealth in money balance and if additional money is injected within the economy, it will be used to satiate people’s craving for money balances without increasing the demand for bond and without further lowering the rate of interest below the flow min. Such a situation is called liquidity trap.
MP Board Class 12th Economics Important Questions Unit 8 Money and Banking 2

Question 9.
What is barter system? What are its defects?
Answer:
Barter system:
Barter system means the exchange of goods and services directly for goods and services. In other words economic exchange without the medium of money is referred to as Barter system.

Drawbacks of barter system : Following are main drawbacks of the barter system:

1. Lack of double coincidence:
The lack of double coincidence of wants is the major drawback. It is very rare when the owner of same goods or service could find some are who wants his good or service and possessed that good service that the first person wanted. No exchange is possible if the double coincidence is not there.

2. Absence of common unit of measurement:
The second main drawback of barter is the absence of a common unit of measurement in which the value of goods and services can be measured. In the absence of a common unit proper accounting system is not possible.

3. Lacks of standard deferred payments:
Thirdly, the barter system lacks any satisfactory unit to engage in contracts involving future payments. In a barter economy future payments would have to be stated in specific goods of services which may involve disagreement over the quality of goods or even on the commodity used for repayment.

4. Lack of storing wealth:
Fourthly, the barter system does not provide for any method of storing purchasing power.

Question 10.
Suppose a bond promises Rs 500 at the end of two years with no intermediate return. If the rate of interest is 5% per annum, what is the price of the bond?
Answer:
= 500 x \(\frac { 1 }{ \left\lceil 1+\frac { 5 }{ 100 } \right\rceil \left\lceil 1+\frac { 5 }{ 100 } \right\rceil } \)
= 500 x \(\frac { 20 }{ 21 }\) x \(\frac { 20 }{ 21 }\)
=\(\frac { 10,000 x 20 }{ 21 x 21 }\)
=\(\frac { 2,00,000}{ 441 }\)
= Rs 453.51.

Micro Economics Money and Banking Long Answer Type Questions

Question 1
What do you mean by stock of money and flow of money?
or
Write the differences between the stock of money and flow of money.
Answer:
Differences between Stock of money and Flow of money:

Stock:

  • Stock is related to a point of time.
  • A stock is a quantity measurable at a particular point of time such as 10:00 am etc.
  • It has no time dimension.
  • National capital is stock.
  • It is a static concept.

Flow:

  • Flow is related to a period of time.
  • A flow is a quantity which is measured over a specific period of time such as an hour, a day, a week etc.
  • It has time dimension.
  • National income is a flow.
  • It is a dynamic concept.

Question 2.
Explain five functions of RBI in detail.
Answer:
Followings are the functions of Reserve Bank of India:

1. Issue of currency notes:
The Reserve Bank of India has been given the monopoly of issuing currency notes. At present, it is authorised to issue currency notes in the denomination of Rs. 5,10,20,50,100,500 and 2,000. One rupee note and coins are issued by government of India. The notes issued by R.B.I. are legal currency.

2. Credit control:
The main functions of R.B.I. is to control and regulate volume of credit and currency in India. It controls the credit granted by commercial banks. It controls the credit inflationary impact of the ever increasing development financing in five year plans. R.B.I. controls the credit by increasing or decreasing bank rates buying and selling government securities in the open market, by increasing the cash reserves, by issuing specific directions to banks etc.

3. Banker agent and advisor to government:
The reserve bank of India acts as banker, agent and advisor to the central and state governments. As a banker to government R.B.I. performs many functions. It manages the public debt, makes all payments, receives all the revenues in government account managing foreign exchange, etc. R.B.I. has appointed experts of all fields of specialization who gives proper advice to central and state governments in various matters from time-to-time.

4. Banker’s bank:
R.B.I. is banker to banks in India. It accepts deposits of commercial banks and lends of them from time – to – time. It extends short term loans and advances against eligible securities and promissory notes. It makes purchases and sales of foreign currencies also. The commercial and other banks have to deposit with R.B.I. a certain percentage of their total liabilities to enjoy various facilities from it.

5. Foreign exchange management:
R.B.I. controls all receipts and payments in foreign exchange under F.E.M. A. All payments to be made in foreign exchange exceeding the limit prescribed under the act must seek RBI’s permission.

MP Board Solutions

Question 3.
Explain the methods to control the credit taken by the reserve bank.
Or
Explain how the Reserve Bank of India controls credit.
Answer:
Followings are the methods to control the credit:

1. Bank rate:
The rate at which Reserve Bank of India gives loan to other banks on the basis of securities is called bank rate. R.B.I. increases or decrease the bank rate for reducing or expanding the credit from time-to-time.

2. Activities of open market:
R.B.I. buys and sells the government securities in the open market for expanding and reducing the volume of credit. This is called open market operation. By this activities R.B.I. increases or decreases the amount of money.

3. Changing the ratio of bank’s reserves:
R.B. I. controls the credit by increasing the percentage of cash reserves which is kept by scheduled commercial banks compulsorily with R.B.I.

4. Liquidity ratio-system:
Reserve Bank of India increases or decreases the liquidity ratio for reducing or expanding credit.

5. Selective credit control policy:
Reserve bank adopts the selective credit control policy in respect of certain commodities which have been sensitive.

6. By issuing specific directions to banks:
R.B.I. issues specific directions to banks in general regarding lending rates.

7. Increase or Decrease refinancing facility:
R.B.I. increases or decreases refinancing facility to commercial banks for credit control. Rigid attitude for refinancing reduces credit and liberal attitude for refinancing expands credit.

Question 4.
Suggest some measures to remove the defects of commercial bank.
Answer:
Following steps should be taken to improve the conditions of Indian commercial banks:

  1. For the balance development of commercial banks their new branches should be open in villages and backward areas.
  2. To solve the problem of shortage of capital the money deposits schemes of the banks should be made attractive.
  3. Knowledge and education regarding the banks should be given clearly.
  4. For increasing the banking systems the trained and efficient officers should be appointed.
  5. Reserve bank should make such rules which will control the corruption in the banking system.
  6. Banks should follow the policy of cooperation with other banks instead of following the policy of competition with each other.

Question 5.
Write any five functions of Commercial Banks.
Answer:
Following are the functions of Commercial banks:

I. Primary Functions

1. Acceptance of deposits:
All commercial banks accept money on deposits. By taking money on deposits a bank provides safe keeping for people’s money. For deposition of money a bank provides facility of five types of customer accounts:

  • Current account
  • Fixed deposit account
  • Savings bank account
  • Home savings account and
  • Recurring deposit account.

2. Lending and Investment:
The second primary function of a bank is to lend money to borrowers bank keeps a part of the total deposits with itself as cash reserves and lends the balance. Bank charges interest on such lending of money, which is also the main source of profit to most of the banks. Money lending may be in the form of overdrafts, cash credits or loans.

II. Subsidiary Functions

In order to provide several kinds of facilities to their customers commercial banks perform many functions. They are as follows:

1. Issuing of credit instruments:
All commercial banks issue various instruments of credit such as bill of exchange, hundi, draft and cheque etc.

2. Arrangement of foreign exchange:
For foreign trade banks convert the currency of one country into the currency of another country. This work is done by exchange Banks.

3. Keeping valuables safely:
Banks provide the facility of lockers for the customers to keep their valuable things gold, diamonds, Jewellary etc. are kept in these lockers.

4. Discounting of bills of exchange and hundies:
Banks discount the bill and hundies of their customers before the date of maturity of such instruments.

5. Collecting payments:
Commercial banks collect payments of their customers bills, cheques and hundies etc. Banks charge commissions for these services.

6. Making payments:
Banks make payments on behalf of their customers. The make payments of installments of loans, interest, donations, insurance etc.They charge nominal commission for their services.

7. Selling and Purchasing of securities:
Commercial banks sell and purchase shares, debentures Govt.bonds etc.

Question 6.
What are the main functions of money? How does money remove the defect of barter system?
Answer:
Followings are the functions of money:

Primary Functions:

1. Medium of exchange:
This is the most important function of money. It acts as a medium of exchange. All the exchanges of goods and services are taken place in terms of money. By paying predetermined price, money can be exchanged with the desired goods and services.

2. Measure of value:
The second basic function of money is that it measures the value of goods and services. In other words, the prices of all goods and services are expressed in terms of money. In ancient times it was not possible of measure the value of clothes and wheat. With the introduction of money this difficulty of measurement disappeared and it became very convinient to measure the value of money. Money acts as a unit of account for all goods, wages salaries, interests etc. The national income, capital formation and other are measured in terms of money.

3. Store of exchange value:
Money can be stored very easily. Money is a liquid form of capital. It require less place to store. There is very less fluctuation in the value of money in comparison to goods. That is why mentry to save a part of their income for future. Money provides a base for store value.

Store of value means store of wealth.People can now keep their wealth in the form of money. Under barter system, storing of wealth was possible only in terms of commodities which had its defects like perishable nature of some goods, cost of storage etc. But storing of value in the form of money has solved all these difficulties. It was Keynes who first realised the store value function of money. He regarded money as link between the present and the future. Money allows us to store purchasing power which can be used at any time in future to purchase goods and services.

4. Transfer of value:
With the economic development the trade and commerce also increased rapidly. This causes the need of transfer of money from one place to another. Sometimes it crosses the national boundary too. Money is a liquid assets so it can be transferred from one place to another.

Through money, value can be easily and quickly transferred from one place to another because money is acceptable everywhere. For example a person can transfer money from Katakana to Delhi through bank draft, bill of exchange etc. Money thus, facilitates movement of wealth and capital. Under barter system it was difficult to transfer value in the from commodities.

MP Board Solutions

Question 7.
Explain the functions of commercial banks. (Any two)
Answer:
Functions of a Commercial Bank:
Following are main functions of a commercial Bank:

1. Acceptance of deposits:
This is an important primary function of the Commercial Banks. The Commercial Banks accept deposits from individuals, business firms and other institutions. This is economically useful function in the sense that it helps in the mobilization of savings for production purposes. The commercial banks accept deposits in several forms according to the requirements of different sections of the society.

2. Advancing of Loans:
Extending loans is another important primary function of the commercial banks. It is also the main source of their income. Traditionally, bankers charged a service charge from the depositors, as they did not use the deposits for lending purposes. Gradually, they realized that.there is no point in keeping all the money which they received from depositors as revenue. All the depositors never approached bankers to withdraw their money at one point of time. In the beginning, their lending out of deposits were confined to short term loans to provide working funds for current business operations.

Now, banks have extended their lending activities to investment in long term bonds. Furthermore, today, commercial banks lend to consumers and government units besides financing trade and industry to meet the divergent needs of their customers. In the manner, they could find safe and lucrative outlets for their funds. The normal performance for banks is for secured loans, but they often give loans to business firms of high credit standing without security. .

Question 8.
What is money multiplier? How will you determine its value?
Answer:
Money multiplier:
Money multiplier may be defined as “the ratio of the stock of money to the stock of high powered money in an economy.” In equation:
Money multiplier = \({ M }{ H }\)
M = Stock of money
H = Stock of high powered money in an economy
The value of money multiplier is greater than 1. The value of money multiplier is determined by applying the following formula:
Money multiplier = \({ 1- cdr }{ cdr – rdr }\)
Method of finding out multiplier
Supply of money = Money + Deposit
M = Cu + DD
= (1 + Cdr) DD
Cdr = Cu / DD
H = Cu + R
= CdrDD + rdr DD
= (Cdr + rdr) DD
Money multiplier = M/H
\(\frac { (1+Cdr)DD }{ (Cdr+rdr)DD }\) = \(\frac { 1+Cdr }{ Cdr+rdr }\)
1 + Cdr > Cdr + rdr.

MP Board Solutions

Question 9.
What are the methods adopted by Reserve Bank of India to regulate the credit?
Answer:
There are those instruments of monetary policy which after overall supply of money / credit in the economy. They are as follows:

1. Bank Rate:
The bank rate is the minimum rate at which the Central Bank of a country (as a lender of last season) is prepared to give credit to the Commercial Bank. The increase in bank rate increases the rate of interest and credit becomes dear. Accordingly, the demand for credit is reduced. On the other hand, decrease in the bank rate lowers the market rate of interest charged by the commercial banks from their borrowers. Credit becomes cheap. The Reserve Bank adopts dear money policy when the supply of credit needs to be reduced during periods of inflation. It adopts cheap money policy when credit needs to be expanded during deflation.

2. Open Market Operations:
Open Market Operations refer to the sale and purchase of securities in the open market by the Central Bank. By selling the securities (like, National Saving Certificates-NSCs), the Central Bank withdraws cash balances from within the economy. And, by buying the securities, the Central Bank contributes to cash balances in the economy.

3. Cash Reserve Ratio (CRR):
It refers to the minimum percentage of a bank’s total deposits required to be keep with the Central Banks. Commercial Banks have to keep with toe Central Bank a certain percentage of their deposits in the form of cash reserves as a matter of law. When the cash flow or credit is to be increased, minimum reserve ratio is reduced and when the cash flow or credit is to be reduced, minimum cash reserve ratio is increased.

4. Statutory Liquidity Ratio (SLR):
Every bank is required to maintain a fixed percentage of its assets in the form of cash or other liquid assets, called SLR. With a view to reducing the flow of credit in the market, the Central Bank increases this liquidity ratio. However, in case of expansion of credit, the liquidity ratio is reduced.

Qualitative Method of Credit Control
Or
Qualitative Instruments of Monetary Policy

1. Margin Requirement:
The margin requirement of loan refers to the difference between the current value of the security offered for loans and the value of loans granted. Suppose, a person mortgages an article worth Rs 100 with the bank and the bank gives him loan of Rs 80. The margin requirement in this case would be 20 percent. In case, the flow of credit is to be restricted for certain specific business activities in the economy, the margin requirement of loan is raised for those very activities. The margin requirement is lowered in case the expansion of credit is desired.

2, Rationing of Credit:
Rationing of credit refers to fixation of credit quotas for different business activities. Rationing of credit is introduced when the flow of credit is to be checked particularly for speculative activities in the economy. The Central Bank fixes credit quota for different business activities. The Commercial Banks cannot exceed the quota limits while granting loans.

MP Board Class 12th Economics Important Questions

MP Board Class 12th Physics Important Questions Chapter 3 Current Electricity

MP Board Class 12th Physics Important Questions Chapter 3 Current Electricity

Current Electricity Important Questions

Current Electricity Objective Type Questions

Question 1.
Choose the correct answer of the following:

Question 1.
The flow of current through a conduction is due to:
(a) Protons
(b) Positive ions
(c) Free electrons
(d) Positive and negative ions.
Answer:
(c) Free electrons

Question 2.
The specific resistance of a wire depends upon:
(a) Length
(b) Diameter
(c) Mass
(d) Material.
Answer:
(b) Diameter

Question 3.
A wire is stretched redouble its length. Its resistance will be:
(a) Halved
(b) Doubled
(c) One fourth
(d) Four times.
Answer:
(d) Four times.

Question 4.
The unit of specific resistance is :
(a) Ohm
(b) Ohm-1
(c) Ohm meter
(d) Ohm-1
Answer:
(c) Ohm meter

Question 5.
Which of the following is an oh-mic resistance:
(a) Junction transistor
(b) Transistor
(c) LED
(d) Copper wire.
Answer:
(d) Copper wire.

Question 6.
On increasing temperature the resistance of the which of the following decreases :
(a) Semiconductor
(b) Metal
(c) Electrolyte
(d) Alloy.
Answer:
(a) Semiconductor

Question 7.
The conductance of super conductor is :
(a) Infinite
(b) Very high
(c) Very low
(d) Zero.
Answer:
(a) Infinite

Question 8.
In the series combination of two resistance which quantity remains same :
(a) Only potential difference
(b) Only current
(c) Current and potential difference both
(d) Neither current nor potential difference.
Answer:
(b) Only current

Question 9.
Electric cell is source of:
(a) Electrons
(b) Electrical energy
(c) Electric charge
(d) Electric current.
Answer:
(b) Electrical energy

Question 10.
The e.m.f. of a cell depends upon:
(a) Quantity of electrolyte filled in it
(b) Distance between the electrodes
(c) Size of electrodes
(d) Nature of electrolyte and electrodes.
Answer:
(d) Nature of electrolyte and electrodes.

Question 11.
Three cells each having e.m.f. E and internal resistance r are joined in series. One cell by mistake is joined in reverse order. The resultant e.m.f. and internal resistance will be:
(a) 3E, 3r
(b) E,3r
(c) E, r
(d) 3E,r
Answer:
(b) E,3r

Question 12.
The internal resistance of a cell can be decreased by :
(a) Decreasing the size of electrodes
(b) Increasing the distance between electrodes
(c) Decreasing the distance between electrodes
(d) None of these.
Answer:
(c) Decreasing the distance between electrodes

Question 13.
Two cells of e.m.f. and internal resistance E1r1 and E2, r2 respectively are joined in parallel. Their equivalent e.m.f. will be:
(a) E1 + E2
(b) E1 – E2
(c) \(\frac{\mathrm{E}_{1} r_{2}+\mathrm{E}_{2} r}{r_{1}+r_{2}}\)

(d) \(\frac{\mathrm{E}_{1}+\mathrm{E}_{2}}{r_{1}+r_{2}} \times r_{1} \cdot r_{2}\)
Answer:

(c) \(\frac{\mathrm{E}_{1} r_{2}+\mathrm{E}_{2} r}{r_{1}+r_{2}}\)

Question 14.
Potentiometer measures:
(a) Terminal voltage of cell
(b) Current in circuit
(c) e.m.f. of cell
(d) None of these.
Answer:
(c) e.m.f. of cell

Question 15.
In the null deflection position:
(a) No current flows through the galvanometer
(b) Current flows due to primary circuit through the galvanometer
(c) Current flows through galvanometer due to secondary circuit
(d) Nothing can be said.
Answer:
(a) No current flows through the galvanometer

Question 16.
The SI unit of the potential gradient is:
(a) ohm/cm
(b) volt
(c) volt cm
(d) volt/cm.
Answer:
(d) volt/cm.

Question 17.
To increase the sensitivity of potentiometer:
(a) The potential difference across its wire should be high
(b) The length of its wire should be less
(c) The current through the wire should be high
(d) potential difference across its wire should be low and length of wire should be large.
Answer:
(d) potential difference across its wire should be low and length of wire should be large.

Question 18.
In the balance condition of potentiometer its resistance is :
(a) Zero
(b) Infinite
(c) Very small
(d) Very high.
Answer:
(d) Very high.

Question 2.
Fill in the blanks:

  1. According to ……….. law, a if the physical conditions of a conductor remains unchanged then current flowing through it is directly proportional to the applied potential difference.
  2. On increasing the length of a conductor its resistance ………..
  3. On decreasing the area of cross-section of a conductor its resistance ………..
  4. On increasing the temperature of a metallic conductor its resistance ………..
  5. KirchhofFs first law is in accordance with the law of conservation of ………..
  6. In series grouping of resistors the resistance but in parallel grouping the resistance ………..
  7. With increase in length of potentiometer its sensitivity ………..
  8. Meter bridge works on the principle of ………..
  9. The specific resistance of alloys is ……….. and temperature coefficient of resistance is ………..
  10. The Kirchhoff’s first law is in accordance with the law of conservation of ……….. while the second law is in accordance with law of conservation of ………..
  11. On increasing the distance between electrodes of a cell, its internal resistance ……….. but on increasing area its internal resistance ………..
  12. The phenomenon in which at low temperature the resistivity of a substance becomes zero is celled ………..
  13. In Ohm’s law the V-I graph is a ………..

Answers:

  1. Ohm’s
  2. Increases
  3. Increases
  4. Increases
  5. Charge
  6. Increases, decreases,
  7. Increases
  8. Wheatstone bridge
  9. High, low
  10. Charge, energy
  11. Increases, decreases
  12. Super conductivity
  13. Straight line.

Question 3.
Match the Column:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 1
Answer:

  1. (e) Metre Bridge
  2. (c) Law of conservation of charge
  3. (b) Ohmic conductor
  4. (a) Law of energy conservation
  5. (d) Non-ohmic conductor

MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 2
Answers:

  1. (e) coulomb/sec. (or ampere).
  2. (d) ampere/metre2
  3. (b) joule/coulombx ampere
  4. (c) ohm x meter
  5. (a) ohm-1

MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 3
Answers:

  1. (e) I2Rt
  2. (a) ohm
  3. (b) volt
  4. (c) Electrical energy
  5. (d) VI

MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 4
Answer:

  1. (c) Potential difference
  2. (e) e.m.f.
  3. (b) Vector quantity
  4. (a) l1/l2
  5. (d) \(\mathrm{R}\left(\frac{l_{1}}{l_{2}}-1\right)\)

Question 4.
Write the answer in one word / sentence:

  1. What is the direction of electric current ?
  2. What is the unit of specific resistance ?
  3. Kirchhoffs first law is based upon which law ?
  4. Kirchhoffs second law is based upon which law ?
  5. On which principle does f&etre bridge works ?
  6. Does Kirchhoffs law can be applied for both a.c. and d.c. currents ?
  7. In a carbon resistance, there is green, violet, red and silver strip’s. What will be the resultant resistance.
  8. What is the relation between 1 kWh and joule.
  9. When the potentiometer is in equilibrium, what will be its resistance ?
  10. The algebraic sum of current at a point is zero. Then what will be that point ?

Answer:

  1. Opposite to flow of electrons,
  2. Unit is ohm x meter
  3. Laws of conservation of charges
  4. Laws of conservation of energy
  5. Wheatstone bridge
  6. Yes
  7. 57 x 102 ± 10% ohm
  8. 1 kWh = 3.6 x 106 joule
  9. Infinity
  10. Junction point.

Current Electricity Very Short Answer Type Questions

Question 1.
To flow current in a conducting wire, how much charges is present in it ?
Answer:
On flowing current through the conducting wire, charges becomes zero.

Question 2.
Why Meter bridge is known by these name ?
Answer:
Because in Meter bridge, a wire of one meter length is used.

Question 3.
Two bulb are marked as 25 W and 100 W. Whose resistance will be more ?
Answer:
R ∝ \(\frac {1}{V}\), Resistance of 25 W bulb will be more.

Question 4.
What do you mean by electric power. Write its unit ?
Answer:
In any electrical circuit the rate of energy decay is called as power. Its unit is watt.

Question 5.
On which factor relaxation time depend on ?
Answer:
It depends on nature of the material of the conductor.

Question 6.
Why there is internal resistance in a cell ?
Answer:
Because, inside the cell, the motion of ions get obstacled by the collision of electrolytes molecules.

Question 7.
Why wire of Meter bridge is not made of copper wire ?
Answer:
Since the resistance of copper wire is very less and its temperature coefficient is more, therefore it is not used in Meter bridge.

Current Electricity Short Answer Type Questions

Question 1.
What is current ? Write its unit
Answer:
The electric current is defined as the rate of flow of charge through any section of a
Electric current = \(\frac {Total charge flowing}{ Time taken }\)
l = \(\frac {q}{ t}\) The SI unit of electric current is ampere (A).

Question 2.
Is electric current a scalar or a vector quantity ? Give reason.
Answer:
Electric current is a scalar quantity. This is because laws of ordinary algebra are used to add electric current and laws of vector addition are not applied for the addition of electric current.

Question 3.
Define current density. Is it scalar or vector ? Write its unit.
Answer:
Current density at a point in a conductor is defined as the amount of current flowing per unit area of the conductor held perpendicular to the flow of current.
Current density J = \(\frac {Current (l)}{ Area (S)}\) (or) \(\frac {l}{ S}\)
Current density is a vector quantity. The SI unit of current density is ampere / meter2.

Question 4.
What is drift velocity ? What is its value ?
Answer:
Drift velocity is defined as the average velocity with which the velocity free electrons with which they get drifted towards the positive terminal of the conductor under the influence of the external electric field. Its value is 10-5ms-1

Question 5.
Is Ohm’s law applicable to all conductors ? Write conditions for its application
Or
Write the condition or under which Ohm’s law is not obeyed.
Answer:
No, Ohm’s law is not applicable for non – ohmic conductors, e.g., semiconductor diode, discharge tube, etc. It is valid only when there is no change in physical conditions of conductor i.e., temperature, length or mechanical strain etc.

Question 6.
Define specific resistance or resistivity. Write its unit and dimensional formula.
Answer:
Specific resistance or resistivity is numerically equal to the resistance offered by a conductor of unit length and unit cross-sectional area. Its unit is ohm – meter. It depends upon temperature. a’ ‘ The dimensional formula of specific resistance is [ML3T3A-2].

Question 7.
If you are given two wires of same material, having same length but different diameters, then which wire will have higher resistance and which will have high specific resistance ?
Answer:
The thin wire (having less diameter) will have higher resistance than that of thicker one as R ∝ \(\frac { 1 }{ A }\) Both wires will have same specific resistance as they are made of same material and specific resistance is characteristic of the material of wire.

Question 8.
It is easier to start motor car during summer rather than in winter. Why ?
Answer:
The internal resistance of the battery during summer is less as compared to winter, therefore more current can be drawn from the battery.

Question 9.
When a high power heater is connected to mains, bulbs become dim. Why ?
Answer:
All electrical appliances are connected in parallel at home, therefore when power heater is used, very high current passes through it. So, potential difference falls on wires connected through mains (V = E – lr), which results in decreasing intensity of bulbs used in circuit.

Question 10.
What do you measure by meter bridge ? When is its sensitivity maximum ?
Answer:
Resistances are measured by meter bridge. Sensitivity of meter bridge is maximum when the null point is obtained at the center of wire. Moreover, all the resistances must be of same order.

Question 11.
What is the wire of meter bridge made up of ?
Answer:
The wire of meter bridge is made of manganin or constantan because it has low temperature coefficient of resistance and high specific resistance.

Question 12.
How can the sensitivity of potentiometer be increased ?
Answer:
The sensitivity of the potentiometer will be more if the potential gradient is less. For this, V should be less but more than the emf of E. The length of potentiometer should be large.

Question 13.
Write two possible reasons for obtaining deflection on one side in the experiment of potentiometer.
Answer:
The two possible reasons are as follows:

  • If the emf of secondary cell in primary circuit is less than the emf of primary cell in the secondary circuit.
  • If positive terminals of all the cells are not connected to the same point.

Question 14.
What do you understand by potential gradient of a potentiometer ? Give its unit
Answer:

  • Fall in potential per unit length is called potential gradient. If the length of wire be / and potential difference across the wire is v, then
  • Potential gradient, K =\(\frac {V}{l}\) Its unit is volt / m.

Question 15.
The potential gradient of potentiometer wire is doubled, what will happen to its null point ?
Answer:
Let emf of cell E is balanced at the length of –
E = Kl = l = \(\frac {E}{ K}\) = l ∝ \(\frac {1}{ K}\)
Hence, the null point will be at the half of the length.

Question 16.
Why the length of wire in potentiometer is more ?
Answer:
For greater sensitivity, the length of null point should be greater, for which the potential gradient should be smaller.
Potential gradient, K =\(\frac {V}{ l}\) To decrease K the value of l should be greater and F should be smaller. But, the value of V can be decreased up to a certain limit, hence the length is increased sufficiently.

Question 17.
Prove that potentiometer is an ideal voltmeter.
Answer:
When the potential difference between two points is measured by the voltmeter, then same current passes through the voltmeter, hence it measures little less than actual potential difference. But, when potentiometer measures the potential difference between two points, no current flows through it. Hence, it measures the accurate potential difference.

Question 18.
A carbon resistance has bands blue, red and green respectively. What is its resistance ?
Answer:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 5
.’. The value of carbon resistance is 62 x 105 ohm with tolerance ± 20% .

Question 19.
A carbon resistance has bands blue, green and red respectively. Write its resistance.
Answer:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 6
The value of carbon resistance is 65 x 102 ohm with tolerance ± 20% .

Question 20.
A carbon resistance has bands red, blue and green. What is its resistance ?
Answer:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 17
The value of carbon resistance is 26 x 105 ohm with tolerance ±20% .

Question 21.
In high tension battery internal resistance should be high. Why ?
Answer:
If high tension battery is used in a circuit having low external resistance, current may go beyond its safety limit. If internal resistance of the battery is high, then current cannot go beyond its safety limit. So, internal resistance of high tension battery must be high.

Question 22.
What is cause of end error in a meter bridge ?
Answer:
The end error in meter bridge is due to following reasons:
The zero mark of the scale provided along the wire may not start from the position where the bridge wire leaves the copper strip and 100 cm mark of the scale may not end at the position where the wire touches the copper strip. The resistance of the copper wire and metal strip of meter bridge has not been taken in account.

Question 23.
What is Ohm’s law ? On what factors does the resistance of a conductor depend upon ?
Answer:
If all the physical conditions of any conductor as length, temperature, etc. remain constant, then the current which flows through it is proportional to the potential difference applied across the ends of the conductor. If I is the current in conductor and V is the potential difference, then
V ∝ l = V=RI
Where, R is a constant, called resistance of conductor.
For factors affecting resistance of conductor:

  • Length: The resistance of conductor is directly proportional to the length of the conductor i.e., R ∝ l
  • Area of cross – section: The resistance of a conductor is inversely proportional to the area of cross – section of the conductor i.e., R ∝ \(\frac{l}{A}\)
  • Temperature: Increase in temperature, increases the resistance.

Combining above two laws, we get,
R ∝ \(\frac{l}{A}\)
R = p \(\frac{l}{A}\)
Where, p= a constant, called specific resistance of the material of the conductor.
Specific resistance:
We have,
R = p \(\frac{l}{A}\)
Let l = 1 And A = l, then
R = P

Thus, the specific resistance of a material is defined by the resistance of unit length and unit area of cross-section of that material.
Unit: Now, p = \(\frac{R.A}{l}\)
= \(\frac{Unit of R x Unit of A}{Unit of l}\)
= \(\frac{\mathrm{ohm} \times \mathrm{m}^{2}}{\mathrm{m}}\) = Ohm x m = Ω x m

Question 24.
What are the possible errors of a meter bridge and how can they be removed ?
Answer:
The possible errors and their removal methods are:
1. It might happen that the wire is not uniform. To remove this error, balance point should be obtained at the-middle.

2. During’the experiment, it is assumed that the resistance of L shaped plates are negligible, but actually it is not so. The error created due to this is called end error. To remove this error, the resistance box and the unknown resistance must be interchanged and then the mean reading should be taken.

3. If the jockey is pressed for a long period of time, then it gets heated and its resistance changes. Hence, jockey must not be pressed for a long interval.

Question 25.
Prove Ohm’s law on the basis of free electron theory.
or
Determine the formula for specific resistance in terms of free electron density and relaxation time.
Answer:
Consider a conductor of length l, area of cross-section A having ‘n’ No. of free electron per unit volume. If potential difference V is applied between its opposite ends then,
\(\frac { V }{ l }\)
Force experienced by each free electron will be
F = eE or F = \(\frac { eV }{ l }\)
The acceleration produced on the electron of mass m is
a = \(\frac { F }{ m}\) = \(\frac { eV }{ ml }\)
If the time interval between two successive collisions (relaxation time) is r then drift velocity is
Vd = \(\frac {eEτ }{ m }\)
= \(\frac {eVτ }{ ml }\)
But cuurent l = neAvd
l = neA\(\left(\frac{e V \tau}{m l}\right)=\frac{n e^{2} \tau}{m} \frac{A}{l}V\)
\(\frac { V }{ l }\) = \(\frac{m}{n e^{2} \tau} \cdot \frac{l}{A}\)
If temperature remains constant, then all terms on R.H.S. will be constant, so
\(\frac { V }{ l }\) = R
This is Ohm’s law. Where R is constant called resistance.
R = \(\frac{m}{n e^{2} \tau} \cdot \frac{l}{A}\) ……….(1)
But resistance is directly proportional to length / and inversely proportional to area of cross-section A of conductor
R ∝ \(\frac { l }{A }\)
R = p\(\frac { l }{A }\) ………..(2)
From eqns. (1) and (2),
p = \(\frac{m}{n e^{2} \tau}\)

Question 26.
Obtain a relationship between current and drift velocity.
Answer:
Consider a conductor of length /and area of cross-section A. Let n be the number of electrons per unit volume.
Volume of conductor = Al
Total number of electrons = nAl.
Total charge of conductor, Q = nAle.
The conductor is now joined to a cell of potential difference V.
So, the electrons get drifted towards the positive terminal of the cell. Let the drift velocity be vd.
Time taken to cover length l is –
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 7
t = \(\frac{l}{v_{d}}\)
l = \(\frac { Q }{t }\)
= \(\frac { nAel }{t }\)
l = nAevd,
( vd = \(\frac { distance}{time }\) = \(\frac { l }{t }\)
This is the required relationship.

Question 27.
Write four differences between electromotive force and potential difference.
Or
Define e.m.f. of a cell and potential difference. Give differences between them.
Answer:
e.m.f.: Work done in flowing 1 coulomb charge through a circuit is called e.m.f. of a cell When the terminals are not connected to an external circuit, the maximum potential difference between the terminals is equal to the e.m.f. of the cell. Unit of e.m.f is volt.

Potential difference:
The difference of potentials of any two points of the circuit is called potential difference.
Or
Work done in bringing unit positive charge from one point to another is called potential difference between these two points.

Differences between e.m.f. and potential difference:
e.m.f.:

  • The maximum potential difference bet-ween the terminals of a cell is called its e.m.f., when the cell is in open circuit.
  • This term is used for the electric sources as generator, cell, battery, dynamo, etc.
  • It is established even the circuit is off.
  • e.m.f. does not depend upon the resistance of the circuit.

Potential difference:

  • Difference of potential of any two points of the circuit is called potential difference.
  • This term is used for any two points of the circuit.
  • It is established till the current is flowing through the circuit.
  • It depends upon the resistance of the circuit

Question 28.
What do you understand by internal resistance of a cell ? On what factors does It depend and how ?
Or
What do you mean by internal resistance of a cell ? Write the factors affecting it.
Answer:
The resistance offered by the electrolyte of the cell during the flow of current inside the cell is called its internal resistance.
The following factors affect the internal resistance:

  • Distance between the electrodes:
    As the distance increases, the internal resistance increases.
  • Area of the immersed electrodes:
    As the area increases, the internal resistance decreases.
  • Concentration of the electrolyte:
    As the concentration is more, the internal resistance is more.
  • Temperature:
    The increase of temperature, decreases the internal resistance.

Question 29.
Establish the relationship between internal resistance of a cell, e.m.f. and extecoafresistance.
Or
Establish the relationship between the electromotive force, potential difference and internal resistance of a cell.
Answer:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 8
Let e.m.f. of a cell be E and its internal resistance is r. If current / is flowing through a resistance R, then by Ohm’s law,
l = \(\frac { V}{R }\) ……………(1)
Where, V is the potential difference across the resistance. Now, total e.m.f. of the circuit = E and total resistance of the circuit = R + r
l = \(\frac {E}{R+r }\)
By eqns. (1) and (2), we get
\(\frac {V}{R}\) = \(\frac {E}{R+r }\)
VR + Vr = ER
Vr = ER – VR
r = \(\frac {R(E – V)}{V}\)
r = R(\(\frac {E}{V}\) – 1)
This is the required relationship.

Question 30.
Explain Kirchhoff’s laws of distribution of current through the different conduct^£
Or
Write down the Kirchhoff’s laws relating to the distribution of electric current.
Or
State and explain Kirchhoff’s laws.
Answer:
Kirchhoff’s laws:
(i) The algebraic sum of current meeting at any junction in a circuit is zero. In this law, the currents flowing towards the junction are considered as positive and those flowing  way from the junction as negative. As shown in the figure, we have
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 9
i1 – i2 – i3 – i4 – i5 = 0
i1 + i4 = i2 + i3 + i5

(ii) in any closed mesh (or loop) of an electrical circuit, the algebraic sum of the product of the currents and resistances is equal to the total e.m.f. of the mesh. If we go along the direction of conventional current, the potential difference will be taken as negative and opposite to it will be positive. Inside the cell, if we move from low to high potential, along the direction of conventional current, the e.m.f. will be positive.

For loop 1,
E2 – i2R2 – (i1 + i2 )R3 = 0
or E2 = i2R2 + (i1 + i2 )R3
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 10
For loop 2,
i2R2 – E2 – i1R1 + E1 = 0
or E1 – E2 = i1R1 – i2R2

Question 31.
Derive the principle of Wheatstone bridge by Kirchhoffs law.
Or
Explain the principle of Wheatstone bridge and obtain the expression for balance condition by Kirchhoff s laws.
Answer:
Principle of Wheatstone bridge:
Four resistances P, Q, R and S are connected to form a quadrilateral ABCD. A cell E is connected across the diagonal AC and a galvanometer across BD. When the current is flown through the circuit and galvanometer does not give any deflection, then the bridge is said to be balanced. In this condition,
\(\frac { p }{ Q }\) = \(\frac { R }{ S }\)
This is the principle of Wheatstone bridge.

Formula derivation:
Let the current i is divided into two parts and i2, flowing through P, Q and R, S respectively. In the position of equilibrium, the galvanometer shows zero deflection, i.e,, the potential of B and D will be equal. In the closed mesh ABDA, by Kirchhoffs second law, we get

MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 11

i1P – i2R = 0
or i1 P = i2R ……….(1)
Similarly, in the closed mesh BCDB, we have
i1Q – i2S = 0
or i1Q = i2S ……….(2)
Dividing eqn. (1) by eqn. (2), we get
\(\frac{i_{1} P}{i_{1} Q}=\frac{i_{2} R}{i_{2} S}\)
\(\frac{P}{Q}\) = \(\frac{R}{S}\)
This is Wheatstone bridge principle or principle of balance.

Question 32.
Explain the principle of potentiometer.
Answer:
Let AB be the wire of potentiometer of length L. A storage cell C, a key K and a rheostat Rh are connected in series with the resistance wire.
When the key is inserted, the current starts flowing through the circuit and a potential difference is established between A and B, let it is V.
∴ Potential gradient, P = \(\frac{V}{L}\)
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 12
Now, the +ve terminal of the experimental cell is connected to A and -ve to galvanometer which is connected to jockey J. When jockey is touched near A, we get the deflection in one side and if it is touched near B, the deflection is in other side. Thus, a point on AB is found such that galvanometer gives no deflection. Hence, no current flows through the galvanometer and get the null point J.

In this balanced position,
e.m.f. of the cell = Potential difference between A and J
If the length of AJ = l.
∴ E = pl
Thus, knowing p and E can be calculated.
This is the principle of potentiometer.

Question 33.
On what factors the resistance of a wire or conductor depends ? Define specific resistance and write its unit.
Or
On what factors the resistance of a conductor depends and how ?
Answer:
The factors affecting the resistance are:

  • Length: The resistance of conductor is directly proportional to the length of the conductor i.e., R ∝ l
  • Area of cross – section: The resistance of a conductor is inversely proportional to the area of cross – section of the conductor i.e., R ∝ \(\frac{l}{A}\)
  • Temperature: Increase in temperature, increases the resistance.

Combining above two laws, we get,
R ∝ \(\frac{l}{A}\)
R = p \(\frac{l}{A}\)
Where, p= a constant, called specific resistance of the material of the conductor.
Specific resistance:
We have,
R = p \(\frac{l}{A}\)
Let l = 1 And A = l, then
R = P

Thus, the specific resistance of a material is defined by the resistance of unit length and unit area of cross-section of that material.
Unit: Now, p = \(\frac{R.A}{l}\)
= \(\frac{Unit of R x Unit of A}{Unit of l}\)
= \(\frac{\mathrm{ohm} \times \mathrm{m}^{2}}{\mathrm{m}}\) = Ohm x m = Ω x m

Question 34.
What do you understand by specific resistance or resistivity of a conductor ? Give its unit and dimensional formula.
Answer:
For specific resistance of a conductor: Refer Short Answer: Type Q. No. 33(iii). Dimensional formula of specific resistance is determined as:
As p = \(\frac{RA}{l}\)
[p] = \(\frac{[R][A]}{[l]}\)
[R] = \(\frac{[V]}{[l]}\) = \(\frac{W/P}{[l]}\) = \(\frac{\left[\mathrm{ML}^{2} \mathrm{T}^{-2}\right] /[\mathrm{AT}]}{[\mathrm{A}]}\)
= \(\frac{\left[\mathrm{ML}^{2} \mathrm{T}^{-3} \mathrm{A}^{-1}\right]}{[\mathrm{A}]}\) = [ML2T-3A-2
[p] = \(\frac{\left[\mathrm{ML}^{2} \mathrm{T}^{-3} \mathrm{A}^{-2}\right]\left[\mathrm{L}^{2}\right]}{[\mathrm{L}]}\)
= \(\left[\mathrm{ML}^{3} \mathrm{T}^{-3} \mathrm{A}^{-2}\right]\)

Question 35.
Give differences between specific resistance and resistance.
Answer:
Differences between specific resistance (resistivity) and resistance:

Specific resistance:

  • It is defined by the resistance offered by the conductor of unit length and unit area of cross – ection.
  • Its unit is ohm x m.
  • It does not depend upon the length and area of cross – ection.

Resistance:

  • The hindrance offered by a conductor to the flow of current is called electrical resistance.
  • Its unit is ohm.
  • It depends upon the length and area of cross-section of the conductor.

Question 36.
Evaluate It and I2 as shown in the figure.
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 13
Solution:
Equivalent figure of fig. (a) is fig. (b)
In closed current BEFC, by Kirchhoff s second law,
2l1 – 6I2 = 0
or I1 = 3I2 …….(1)
In closed path ABCD
2I1 + l(l1 + l2) = 10
3I1 + I2 = 10 …….(2)
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 15
From eqns. (1) and (2),
3 x 3I2 + I2 = 10
or 9I2 + I2 = 10
or I2 = 1 amp.
Putting the value of 12 in eqn. (1) we get,
I1 = 3 x l = 3 amp

Question 37.
Three resistors R1 R2 and R3 are connected in series. Obtain the expression for the equivalent resistance.
Answer:
The series combination of three resistors having resistances R1 R2 and R3 are shown in figure.
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 16
When this combination is connected to a cell (C) of e.m.f. E volt, then I current flows through combination.
Let the potential difference across R1 R2 and R3 be V1, V2 and V3 respectively. Then, by Ohm’s law,
V1= IR1 V2 = IR2 and V3 = IR3 .
If potential difference across A and B be V, then
V = V1 + V2 + V3
or V = IR1 + IR2 + IR3
V = I(R1 + R2 + R3) ……(1)
If equivalent resistance of this combination be R, then
V = IR …..(2)
From eqns. (1) and (2), we get
1R = I(R1 + R2 + R3)
or R = R1 + R2 + R3 …(3)
Thus, when a number of resistances are connected in series with each other, the equivalent resistance of the combination is equal to the sum of their individual resistances.

Question 38.
Find out equivalent resistance of the three resistances R1 ,R2 and R3 connected in parallel combination.
Answer:
The resistances R1 ,R2 and R3 are connected in parallel as shown in adjacent figure. As all the resistances are connected between two points A and B, hence the potential difference between two points will be same for all. Let it be V. Let I be the total current. This current is divided into three parts at point A. If through R1, R2 and R3; currents I1 I2 and I3 are respectively flowing. Then,
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 14
I = I1 + I2 + I3
By Ohm’s law,
I1 = \(\frac{V}{R_{1}}\), I2 = \(\frac{V}{R_{2}}\), I3 = \(\frac{V}{R_{3}}\)
I = \(\frac{V}{R_{1}}\) + \(\frac{V}{R_{2}}\) + \(\frac{V}{R_{3}}\) ……….(1)
If the equivalent resistance of this combination be R, then
I = \(\frac{V}{R}\) ……….(2)
From eqns. (1) and (2), we have
\(\frac{V}{R}\) = \(\frac{V}{R_{1}}\) + \(\frac{V}{R_{2}}\) + \(\frac{V}{R_{3}}\)
\(\frac{1}{R}\) = \(\frac{1}{R_{1}}\) + \(\frac{1}{R_{2}}\) + \(\frac{1}{R_{3}}\) …………(3)
Thus, if a number of resistances are connected in parallel, the reciprocal of equivalent resistance of the combination is equal to the sum of the reciprocals of their individual resistances.

Current Electricity Long Answer Type Questions

Question 1.
Describe an experiment to compare the e.m.f. of two cells by potentiometer onTne following points :

  1. Circuit diagram
  2. Derivation of formula
  3. Two precautions.

Or
Describe an experiment to compare the e.m.f. of two cells using a potentiometer under the following heads :

  1. Labelled diagram of electric circuit
  2. Formula used
  3. Observation table
  4. Two main precautions.

Answer:
1. Circuit diagram:
AB → Potentiometer wire
B1 → Lead accumulator
K1 → Plug key
Rh → Rheostat
E1 E2 → Experimental cells
K2 → Two ways key
G → Galvanometer
J → Jockey.

2. Derivation of formula:
Let the first cell is having e.m.f. E, and the balancing point is obtained at distance l1. Then by the principle of potentiometer,
E1 = pl1 ……(1)
Where, p is potential gradient.
Let E2 is the e.m.f. of second cell whose balancing point is at l2, then
E2 = pl2 ……(2)
Dividing eqn. (1) by eqn. (2), we get,
\(\frac{E_{1}}{E_{2}}=\frac{pl_{1}}{pl_{2}}=\frac{l_{1}}{l_{2}}\)
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 18

3. Observation tab:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 19
4. Precautions:
The e.m.f. of lead accumulator should be greater than that of experimental cells. All the positive terminals should be connected to one point

Question 2.
Determine the internal resistance of a cell by potentiometer on the following points:

  1. Labelled circuit diagram
  2. Derivation of formula
  3. Precautions.

Or
Determine an experiment to find out the internal resistance of a cell by potentiometer under the following points :

  1. Labelled circuit diagram
  2. Formula derivation
  3. Observation table
  4. Precautions (any two).

Answer:
1. Circuit diagram:
AB → Potentiometer wire
C → Storage cell
K → Plug key
Rh → Rheostat
E → Experimental cell
R.B. → Resistance box
G → Galvanometer
J → Jockey.

2. Formula derivation:
Let the e.m.f. of the cell is E and its internal resistance is r. When it is connected to external resistance R, its potential difference is V, then
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 20
r = R (\(\frac{E}{V}\) – 1) ……..(1)
When R is not connected, then let the balance point is found at a distance l1 from A.
∴ E = pl1
Similarly, when R is also connected, then let the balanced point is obtained at a distance l2 from A.
∴ V = pl2
Now, putting these values in eqn. (1), we get
r = R \(\left(\frac{\rho l_{1}}{\rho l_{2}}-1\right)\) = R \(\left(\frac{l_{1}}{l_{2}}-1\right)\)
This is the required formula

3. Observation table :
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 21

4. Precautions:

  • The e.m.f. of the storage cell (C) must be greater than that of experimental cell (£).
  • All the positive terminals must be connected to a single point

Question 3.
How are the cells connected in mixed combination ? Derive an expression for current flowing through external resistance.
Or
Prove that the current in the external circuit for a mixed combination of cells is maximum, when the internal resistance of the combination equals the external resistance.
Answer:
In this combination, series connections of equal number of cells are connected in parallel and finally providing one +ve and one -ve terminal as shown in Fig. (a). These two terminals are connected to the ends of an external resistance R so that current starts flowing through the resistance.
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 22

Suppose n cells are connected in series combination and let m be the number of such series connected in parallel. Let the e.m.f. of each cell be E and internal resistance be r. Total e.m.f. of each series combination i.e, for a row, will be nE and total internal resistance will be nr. Hence, the equivalent becomes as given in Fig. (b).
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 25

As all the cells are now in parallel, so total e.m.f. of the combination will also be nE and total internal resistance will be r’. This is shown in Fig. (c). As each resistor is of value nr and nr such resistors are connected in parallel, hence total internal resistance r’ will be calculated as:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 23
\(\frac{1}{r’}\) = \(\frac{1}{nr}\) + \(\frac{1}{nr}\) + ………. + m terms = \(\frac{m}{nr}\) or r’ = \(\frac{nr}{m}\)
As R is the external resistance, then r’ and R are in series. Hence, total resistance of combination becomes,
Rtotal = R + r’ = R + \(\frac{nr}{m}\)
The current through the circuit will be given by Ohm’s law as

l = \(\frac{Total e.m.f.of battery }{Total resistance of circuit}\)

l = \(\frac{n \mathrm{E}}{\mathrm{R}+\frac{n r}{m}}\) = \(\frac{m n \mathrm{E}}{m \mathrm{R}+n r}\) ……….(1)

This is the expression for the current. For the current to be maximum, mR+nr must be minimum

mR + nr = \((\sqrt{m \mathrm{R}})^{2}+(\sqrt{n r})^{2}-2 \sqrt{m \mathrm{R}} \sqrt{n r}+2 \sqrt{m \mathrm{R}} \sqrt{n r}\) (as subtracting and adding \(2 \sqrt{m \mathrm{R}} \sqrt{n r}\))

= \((\sqrt{m \mathrm{R}}-\sqrt{n r})^{2}+2 \sqrt{m \mathrm{R}} \times \sqrt{n r}\)

But \((\sqrt{m \mathrm{R}}-\sqrt{n r})^{2}\) cannot be negative, as it is a perfect square.

mR + nr will be minimum, only when \((\sqrt{m \mathrm{R}}-\sqrt{n r})^{2}\) = 0

or \(\sqrt{m \mathrm{R}}-\sqrt{n r}\) = 0

\(\sqrt{m \mathrm{R}}\) = \(\sqrt{n r}\) ⇒ mr = nr ………(2)
∴ R = \(\frac{n r}{m}\) ………..(3)

Hence, the external resistance should be equal to the internal resistance of the battery. Under this condition the current supplied by the battery to the resistance R is maximum. The value of maximum current can be obtained by putting eqn. (2) in eqn. (1).

∴ Imax = \(\frac{mnE}{mR + mR}\)

= \(\frac{mnE}{2mR}\) = \(\frac{nE}{2R}\)
On substituting mR = nr, we get

Imax = \(\frac{mnE}{nr + nr}\) = \(\frac{mnE}{2nr}\)

= \(\frac{mE}{2r}\) .

Question 4.
explain the experiment of determining the unknown resistance of a wire with he help of meter bridge on the following points:

  1. Electrical circuit
  2. Principle.

Or
Describe an experiment to determine the unknown resistance by meter bridge on following points :

  1. Circuit diagram
  2. Description of apparatus
  3. Observation table
  4. Precautions.

Or
What are the possible errors in performing the experiment with metre bridge and how they can be removed ?
Answer:
1. Circuit diagram:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 26
Where ,
AC→ wire
E → cell
R → resistance box
S → unknown resistance,
G → galvanometer
K → key.

2. Description of apparatus:
It consists of 1 meter long manganin or constant resistance wire, fixed on a wooden plank. Thick steel or brass strips are fixed as shown in the figure with two gaps. In one gap, resistance box R and in other, unknown resistance S are connected. A, C and D are terminals. A jockey slides on the wire.

3. Formula derivation or principle:
Meter bridge consists of 1 m long constant-an wire AC, fixed on a wooden plank. In two gaps resistance R and unknown resistance S are connected. Galvanometer G is connected between B and D, where B is sliding point i. e., jockey.
A cell E, with a plug key K is connected between A and C.
Let null point is obtained at a distance l from A.
∴ AB = l cm
and BC = (100 – l)cm
If x be the resistance per unit length, then Resistance offered by AB is P = lx
and resistance offered by BC is Q = (100 – l)x
Now, by the principle of Wheatstone bridge,

\(\frac{P}{Q}\) = \(\frac{R}{S}\)

\(\frac{lx}{(100 – l)}\)

S = \(\frac{R(100 – l)}{l}\)
Wheatstone bridge is sensitive when all the four resistances are of same order. Hence, metre bridge is also suitable for the resistance of same order.

4. Observation table:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 27
5. Precautions:

  • The connection should be tight.
  • The plugs of R.B. should not be loose.
  • The current should be passed only when readings are to be taken.
  • Jockey should not be rubbed with the wire.

Possible errors and their removal:
1. It might happen that the wire is not uniform. To remove this error, balance point should be obtained at the-middle.

2. During’the experiment, it is assumed that the resistance of L shaped plates are negligible, but actually it is not so. The error created due to this is called end error. To remove this error, the resistance box and the unknown resistance must be interchanged and then the mean reading should be taken.

3. If the jockey is pressed for a long period of time, then it gets heated and its resistance changes. Hence, jockey must not be pressed for a long interval.

Question 5.
How are cells connected in series ? Derive an expression for current flowing through outer circuit. When is this combination useful ?
Answer:
In this combination, the -ve terminal of one cell is connected to the + ve terminal of second cell, whose -ve terminal is connected to the +ve terminal of third one and so on as shown in Fig. (a). Let n cells each of e.m.f. E and internal resistance r be connected in series through an external resistance R, then
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 28
Total e.m.f. of this combination = n E ’ and total internal resistance
r’ = r + r + r +…………….+ n times
= nr
The series combination of n cells is equivalent to a single cell having e.m.f. «E and internal resistance nr. This is shown in Fig. (b).
Now nr and external resistance R are in series. So, the equivalent resistance of circuit becomes R + nr Applying Ohm’s law, current flowing through the circuit is given by –
l = \(\frac{e.m.f. of battery }{Total resistance}\)
= \(\frac{nE }{nr + R}\)
This is the expression for current flowing through the external resistance R. If r « R, then nr + R * R.
Hence, from eqn. (1), we get
l = n. \(\frac{E }{R}\)
= n x Current flowing through each cell.

Utility:
Thus, if the internal resistance of each cell is negligible as compared to external resistance, the current flowing through the battery is n times the current supplied by each cell.
So, the cells should be connected in series only when the internal resistance of each cell is much less than the external resistance.

Question 6.
n cells are connected in parallel combination with internal resistance. Derive an expression for current flowing through external resistance. When is this combination useful?
Answer:
Let n cells be connected in parallel and e.m.f. of each cell be E and internal resistance be r. Since, all the positive terminals of cells connected to point A and -ve terminals connected to the point B, the total e.m.f. of battery will be E (because in parallel combination potential difference remains same).
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 29

Since the cells are connected in parallel, therefore their internal resistance will also be in parallel combination. Let the equivalent internal resistance be r’
∴ \(\frac{1 }{r’}\) = \(\frac{E }{R}\) + \(\frac{E }{R}\) + …………. + n times \(\frac{n }{r}\)
or r’ = \(\frac{r }{n}\)
Hence, the equivalent circuit becomes
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 30
Where, r’ is the total resistance of the combination of cells. As R and r’ are in series, so the total resistance of the circuit becomes
= R + r’ = R + \(\frac{r }{n}\)
Current through external resistance R will be given by Ohm’s law as
l = \(\frac{Total e.m.f.of battery }{Total resistance of circuit}\)
l = \(\frac{E}{R+\frac{r}{n}}\) = \(\frac{n E}{n R+r}\)
This is the required expression.
If R << r, then nR + r≈r
Now, from eqn. (1), we have
I = n \(\frac{E}{r}\) = n x Current given by one cell .

Utility:
Thus, if internal resistance of each cell is much greater than the external resistance, then the current flowing through the battery is n times the current through each cell i.e., maximum current is obtained. So, the cells should be connected in parallel when internal resistance of each cell is much greater than the external resistance.

Current Electricity Numerical Questions

Question 1.
The storage battery of a car has an emf of 12 V. If the internal resistance of the battery is 0.4Ω, what is the maximum current that can be drawn from the battery? (NCERT)
Solution:
Given: E = 12 V; r – 0.4 Ω
Current l = \(\frac{E}{R+r}\)
For current to be maximum R = 0
Imax = \(\frac{E}{r}\) = \(\frac{12}{0.4}\) = 30A

Question 2.
A battery of emf 10V and internal resistance 3) is connected to a resistor. If the current in the circuit ¡s 0.5A. What is the resistance of the resistor? What is the terminal voltage of the battery when the circuit is closed? (NCERT)
Solution:
Given:
E =10V; r = 3Ω l = 0.5A
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 31
l = \(\frac{E}{R + r}\)
R+r = \(\frac{E}{l}\)
R = \(\frac{E}{l}\) – r = \(\frac{10}{0.5}\) – 3 = 20 – 3 = 17Ω
Now, V = E – lr = 10 – 0.5 x 3 = 10 – 1.5 = 8.5V

Question 3.
(a) Three resistance IΩ, 2Ω and 3Ω are combined in series. What is the total resistance of the combination ?
(b) If the combination is connected to a battery of emf 12V and negligible internal resistance, obtain the potential drop across each resistor. (NCERT)
Solution:
(a) Given:
R1 = IΩ; R2 = 2Ω; R3 = 3Ω
R2 = R2 + R2 + R2 = 1 + 2 + 3 = 6Ω .
(b) E = 12V; r = 0
l = \(\frac{E}{R+r}\) = \(\frac{E}{R_{S}+0} = \frac{12}{6}\)
I = 2A
Potential difference across (R1)
V1 = IR1 = 2 x l = 2V
Potential difference across (R2)
V2 = IR2 = 2 x 2 = 4V
Potential difference across (R3)
V3 = IR3 = 2 X 3 = 6V.

Question 4.
(a)Three resistors 2Ω, 4Ω and 5Ω are combined in parallel. What is the total resistance of the combination ?
(b) If the combination is connected to a battery of emf 20V and negligible internal resistance, determine the current through each resistor and the total current drawn from the battery. (NCERT)
Solution?:
(a) Given:
R1 = 20; R2 = 40; R3 = 50
Equivalent resistance:
\(\frac{1}{R_{p}}\) = \(\frac{1}{R_{1}}\) + \(\frac{1}{R_{2}}\) + \(\frac{1}{R_{3}}\)
= \(\frac{1}{2}\) + \(\frac{1}{4}\) + \(\frac{1}{5}\) = \(\frac{10+5+4}{20}\) = \(\frac{19}{20}\)
∴ \(\frac{1}{R_{p}}\) = \(\frac{20}{19}\) Ω

(b) E = 20V; r = 0
Current through different resistors,
l1 = \(\frac{E}{R_{1}}\) = \(\frac{20}{2}\) = 10A
l2 = \(\frac{E}{R_{2}}\) = \(\frac{20}{4}\) = 5A
l3 = \(\frac{E}{R_{3}}\) = \(\frac{20}{5}\) = 4A
Total current drawn
l = l1 + l2 + l3 = 10 + 5 + 4 = 19A
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 32

Question 5.
At room temperature (27°C) the resistance of a heating element is 100Ω. What is the temperature of the element if the resistance is found to be 117 Ω, given that temperature coefficient of the resistor material is 1.70 x 10-4 °C-1 ? (NCERT)
Solution:
Given:
t1 = 27 °C
R1 = 1000
R2 = 1170
α = 1.70 x 10-4 °C-1
We know that, α = \(\frac{R_{2}-R_{1}}{R_{1}\left(t_{2}-t_{1}\right)}\)
t2 – t1 = \(\frac{R_{2}-R_{1}}{R_{1} \alpha}\)
= \(\frac{117-100}{170 \times 10^{-4} \times 100}\)
t2 – t1 = 1000
t2 = 1000 + t1 = 1000 + 27 = 1027 °C

Question 6.
A negligible small current is passing through a wire of length 15 m and uniform cross – section 6.0 x 10-7 m2 and its resistance is measured to be 5.0ΩWhat is the resistivity of the material at the temperature of the experiment ? (NCERT)
Sol. Given:
l = 15m; A = 6.0 x l0-7m2; R = 5.0Ω
using R = \(\frac { pl }{ A }\)
p = \(\frac {RA}{ l }\) = \(\frac{5 \times 6 \times 10^{-7}}{15}\) = 2.0 x l0-7Ωm

Question 7.
Determine the current in each branch of the network shown in figure. (NCERT)
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 40
solution:
\(\frac {P}{ Q }\) = \(\frac {10}{5}\) = \(\frac {2}{ 1 }\) and \(\frac {R}{S }\) = \(\frac {5}{ 10 }\) = \(\frac {1}{ 2 }\).
i.e \(\frac {P}{ Q}\) = \(\frac {R}{ S}\)

Therefore, bridge is not in equilibrium. Current flowing through different branches is as shown in fig. Now applying Kirchhoffs loop rule.
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 33
For loop ABDA
10I1 + 5I2 – 5(I – I1) = 0
3I1 + l2 – I = 0 ……(1)

For loop BCDB.
5(I1 – I2) – 10 (I – l1 + I2) – 5I2 = 0
or I1 – I2 – 2 (I – I1 + I2) I1 = O
or 3I2 – 4I2 – 2I = 0 …..(2)
By eqns. (1) and (2), 5I2 + I = 0
I = – 5I2
I2 = – \(\frac {1}{ 5 }\) I …….(3)
And I1 = \(\frac {2}{ 5 }\) I …….(4)

For loop ADCA,
5(I – I1) + 10 (1 – l1 + l2) + 10I = 10
5I – 3I + 2I1 = 2
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 34

Question 8.
Find out effective resistance between points A and B for circuit given below:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 35
Solution:
\(\frac {1}{ R}\) = \(\frac {1}{ 2 + 2 + 2 }\) + \(\frac {1}{ 3 }\)

\(\frac {1}{ R}\) = \(\frac {1}{6}\) + \(\frac {1}{3}\)

\(\frac {1}{ R }\) = \(\frac {1 + 2}{ 6 }\) = \(\frac {3}{6}\)
R = \(\frac {6}{3}\) = 2Ω

Question 9.
Find out effective resistance between points A and B for circuit given below:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 36
\(\frac{1}{\mathrm{R}_{1}}\) = \(\frac {1}{ 4}\) + \(\frac {1}{ 4}\) = \(\frac{1}{\mathrm{R}_{1}}\) = \(\frac {2}{ 4}\)

R1 = \(\frac {4}{2}\) = 2Ω

\(\frac{1}{\mathrm{R}_{2}}\) = \(\frac {1}{ 6}\) + \(\frac {1}{ 6}\) =\(\frac{1}{\mathrm{R}_{2}}\) = \(\frac {2}{ 6}\)

R2 = \(\frac {6}{ 2}\) = 3Ω
Effective resistance R = R1 + R2
R = 2 + 3 = 5Ω

Question 10.
109 electrons flows from point A to B in 10-3 second. Find out magnitude and direction of electric current.
Solution:
Formula: I = \(\frac {ne}{t}\)
Given: n = 109 t = 10-3 sec.
Putting the given value in the formula, we get
I = \( \frac{10^{9} \times 16 \times 10^{-19}}{10^{-3}}\)
or l = 1.6 x l 0-7 ampere.
Direction of electric current will be from B to A. Ans.

Question 11.
150 m A current flows through a conductor. How many electrons will flow through it in 20 sec ?
Solution:
Given:
I = 150 mA = 0.15 A, t = 20 sec.
Formula:
n = \(\frac {It}{e}\) = \(\frac{0.15 \times 20}{1 \cdot 6 \times 10^{-19}\)

n = \(\frac{3}{1 \cdot 6} \times 10^{19}\) = 1.875 x 1019

Question 12.
200 mA current flows through a conductor. How many electrons will flow through it in 5 sec ?
Solution:
Given:
I = 200 mA = 0.2 A, t = 5 sec
Formula:
n = \(\frac {It}{e}\) = \(\frac{0\cdot 2\times 5}{1\cdot 6\times 10^{-19}}\)

n = \(\frac{1}{1 \cdot 6} \times 10^{19}\)
n = 0.625 x 1019

Question 13.
The length of a wire becomes twice when stretched. How many times resistance will increase ?
Solution:
On stretching the wire, radius of the wire will decrease but volume will remain same. Let l1 and r1 be initial length and radius of wire respectively. On stretching, the length becomes l2 say and radius r2
Initial volume = Final volume
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 37
From the formula, R = p \(\frac {1}{A}\)
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 38

Putting the value of \(\left(\frac{r_{2}}{r_{1}}\right)^{2}\) from eqn. (1) in eqn. (2), we get
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 39
As per the question, l2 = 2l1
\(\frac{R_{1}}{R_{2}}\) = \(\left(\frac{l_{1}}{2 l_{1}}\right)^{2}\) = \(\frac {1}{4}\)
R2 = 4R1
Hence, the resistance of wire is increased four times.

Question 14.
The ratio of area of cross-section of two wires made of same metal and equal length is 2 : 1. It applied potential difference between their ends are same then what will be the ratio of current among them ?
Solution:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 41

Question 15.
The ratio of length of two wire, made of same metal and equal area of cross-section is 2 : 1. If the applied potential difference between their ends are same, then what will be the ratio of current following among them ?
Solution:
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 42

Question 16.
125 mA current flows through a lamp in 10 sec. How many electrons will flow across it ?
Solution:
Given:
I = 125 mA = 0.125 A. t = 10 sec.
MP Board 12th Physics Important Questions Chapter 3 Current Electricity - 43

MP Board Class 12th Physics Important Questions