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**Important Questions for Class 11 Physics State Board****Class 11 Physics Chapter 1 Exercise Solutions Maharashtra Board****CBSE Class 11 Physics Question Paper**

**Questions**hide

## How many dry cells, each of emf 1.5 V and internal resistance 0.5 22 must be joined in series with a resistor of 20 Ω to give a current of 0.6 A in the circuit :

(A) 2

(B) 8

(C) 10

(D) 20

Option c - 10

## A battery of e.m.f 10 V and internal resistance 0.5 Ω is connected across a variable resistance R. The value of R for which it delivers maximum power is :

(A) 2 Ω

(Β) 1.5Ω

(C) 1Ω

(D) 0.5 Ω

Option d - 0.5 Ω

## The storage battery of a car has an emf of 12 V. If the internal resistance of the battery is 0.4 Ω, what is the maximum current that can be drawn from the battery?

(A) 30 A

(B) 6 A

(C) 15 A

(D) 5 A

Option a - 30 A

## When a battery is connected to 9 Ω resistance its terminal voltage falls to 30 V from 40 V. Internal resistance of the battery in ohm is.

(A) 3

(B) 9

(C) 6

(D) 12

Option a - 3

## Three equal resistance across a source of e.m.f together dissipate 10 W of power. What will be the power dissipated if the same resistors are connected in parallel across the same source of e.m.f.:

(A) 5 W

(B) 10 W

(C) 30 W

(D) 90 W

Option d - 90 W

## A wire of resistance 8 Ω is bent through 180° at the middle point and the two halves are twisted together. Now the resistance of the wire is :

(A) 4 Ω

(B) 8 Ω

(C) 10 Ω

(D) 2 Ω

Option d - 2 Ω

## A wire of length 20 cm and resistance 5 Ω is stretched up to 40 cm. The resistance of the wire will be :

(A) 40 Ω

(B) 20 Ω

(C) 10 Ω

(D) 200 Ω

Option b - 20 Ω

## A Carnot engine working between 450 K and 600 K has a work output of 300 J/cycle. What is the amount of heat energy supplied to the engine from the source in each cycle?

(A) 400 J

(B) 800 J

(C) 1200 J

(D) 1600 J

Option c - 1200 J

## The temperature of the sink of a Carnot engine is 27 °C, and The efficiency of the engine is 25%. What is the temperature of the source?

(A) 127 °C

(B) 227 °C

(C) 327 °C

(D) 427 °C

Option a - 127 °C

## For which of the following combinations of working temperatures, the efficiency of the Carnot engine is maximum?

(A) 40 K and 20 K

(B) 50 K and 30 K

(C) 70 K and 50 K

(D) 90 K and 60 K

Option a - 40 K and 20 K

## A Carnot engine has the same efficiency between 800 K and 500 K and x K to 400 K. What is the value of x?

(A) 550 K

(B) 640 K

(C) 750 K

(D) 900 K

Option b - 640 K

## A Carnot engine has the same efficiency between 100 K and 500 K and T and 900 K. What is the value of the temperature T?

(A) 130 K

(B) 160 K

(C) 180 K

(D) 200 K

Option c - 180 K

## A diatomic ideal gas is used in a Carnot engine as the working substance. If during the adiabatic expansion part of the cycle, the volume of the gas increases from V to 32V, the efficiency of the engine is :

(A) 0.25

(B) 0.50

(C) 0.75

(D) 0.99

Option c - 0.75

## The source temperature of a Carnot engine is 127 °C. It takes 500 cal of heat from the source and rejects 400 cal to the sink during each cycle. What is the temperature of the sink?

(A) 37 °C

(B) 47 °C

(C) 20 °C

(D) 27 °C

Option b - 47 °C

## What is the least amount of work that must be done to freeze 10 grams of water at 0 °C by means of a refrigeration machine? The temperature of the surrounding is 27 °C :

(A) 50 cal

(B) 63 cal

(C) 70 cal

(D) 79 cal

Option d - 79 cal

## The coefficient of performance of a refrigerator is 5. If the temperature inside the freezer is -20 °C, the temperature of the surroundings to which it rejects heat is :

(A) 11 °C

(B) 21 °C

(C) 31 °C

(D) 41 °C

Option c - 31 °C

## A refrigerator abstracts 1600 cal of heat from the ice trays. The coefficient of performance is 4. What is the work done by the motor of the refrigerator in heat units i.e. calories?

(A) 200 cal

(B) 300 cal

(C) 400 cal

(D) 500 cal

Option c - 400 cal

## An ideal refrigerator has a freezer at a temperature of -13 °C. The coefficient of performance of the refrigerator is 5. What is the temperature of the air, to which heat is rejected?

(A) 39 K

(B) 39 °C

(C) 320 K

(D) 320 °C

Option b - 39 °C

## The inside and outside temperatures of a refrigerator are 273 K and 303 K respectively. Assume that the refrigeration cycle is reversible, then for every joule of work done, the heat delivered to the surrounding will be approximately equal to :

(A) 10 J

(B) 20 J

(C) 30 J

(D) 50 J

Option a - 10 J

## A sphere, a cube, and a thin circular plate all made of the same material and having the same mass are initially heated to a temperature of 300 °C Which of these will cool faster?:

(A) Sphere

(B) Cube

(C) Plate

(D) None of these

Option c - Plate

## The liquid is filled in a vessel that is kept in a room with a temperature of 20 °C. When the temperature of the liquid is 80 °C, it loses heat at the rate of 60 cal/s. What will be the rate of loss of heat when the temperature of the liquid is 40 °C? :

(A) 180 cal/s

(B) 3.68 cal/s

(C) 40 cal/s

(D) 16.3 cal/s

Option d - 16.3 cal/s

## The density of air at NTP is 1.293 kg/m³. The RMS velocity of the air at NTP is about

(A) 0.50 km/s

(B) 0.96 km/s

(C) 0.48 km/s

(D) 0.64 km/s

Option c - 0.48 km/s

## The temperature at which the RMS speed of hydrogen molecules is equal to escape velocity on the earth's surface will be :

(A) 1060 K

(B) 5030 K

(C) 8270 K

(D) 10063 K

Option d - 10063 K

## Four molecules of a gas are having speeds of 1, 4, 8, and 16 m/s. The root means the square velocity of the gas molecule is :

(A) 7.25 m/s

(B) 52.56 m/s

(C) 84.25 m/s

(D) 9.2 m/s

Option d - 9.2 m/s

## By what percentage should the pressure of a given mass of gas be increased so as to decrease its volume by 10% at a constant temperature? :

(A) 8.1 %

(B) 9.1 %

(C) 10.1 %

(D) 11.1 %

Option d - 11.1 %

## A perfect gas at 27°C is heated at constant pressure to 327°C. If the original volume of the gas (at 27°C) is V. the volume at 327 °C will be :

(A) V/2

(B) 2V

(C) 4V

(D) 8V

Option b - 2V

## Consider a gas with density p and C as the RMS velocity of its molecule contained in a volume. If the system moves as a whole with velocity V, then the pressure exerted by the gas is :

(A) 1/3p C²

(B) 1/3 p (C+ V)²

(C) 1/3 p (C-V)²

(D) 1/3 p (C²-V)²

Option a - 1/3p C²

## A jar A is filled with an ideal gas characterized by parameters P. V and T and another jar B is filled with an ideal gas with parameters 2P. V/4 and 2T. The ratio of the number of molecules in jars A and B is :

(A) 1 : 1

(B) 1 : 2

(C) 2 : 1

(D) 4 : 1

Option d - 4 : 1

## Calculate the RMS velocity of molecules of a gas of which the ratio of two specific heats is 1.42 and the velocity of sound in the gas is 500 m/s :

(A) 727 m/s

(B) 527 m/s

(C) 927 m/s

(D) 750 m/s

Option a - 727 m/s

## A perfect gas at 27°C is heated at constant pressure so as to triple its volume. The temperature of the gas will be :

(A) 81 °C

(B) 900 °C

(C) 627 °C

(D) 450 °C

Option c - 627 °C

## The mass of an oxygen molecule is about 16 times that of a hydrogen molecule. At room temperature, the RMS speed of the oxygen molecule is V. The RMS speed of the hydrogen molecule at the same temperature will be :

(A) V/16

(B) V/4

(C) 4V

(D) 16 V

Option c - 4V

## A gas at a temperature of 250 K is contained in a closed vessel. If the gas is heated through 1°C the percentage increase in its pressure is :

(A) 0.4 %

(B) 0.6 %

(C) 0.8 %

(D) 1.0 %

Option a - 0.4 %

## If a given mass of a gas occupies a volume of 100 cc at one atmospheric pressure and temperature of 100°C (373.15 K). What will be its volume at 4 atmospheric pressure, the temperature is the same? :

(A) 25 cc

(B) 100 cc

(C) 400 cc

(D) 104 cc

Option a - 25 cc

## A jar has a mixture of hydrogen and oxygen gases in the ratio 1 : 5. The ratio of mean kinetic energies of hydrogen and oxygen molecules is :

(A) 1 : 5

(B) 5 : 1

(C) 1 : 1

(D) 1 : 25

Option c - 1 : 1

## A sample of oxygen and a sample of hydrogen have the same mass, volume and pressure. The ratio of their absolute temperatures is :

(A) 1/4

(B) 4

(C) 1/16

(D) 16

Option d - 16

## 4 moles of an ideal gas are at 0°C. At constant pressure, it is heated to double its volume, and then its final temperature will be :

(A) 0°C

(B) 273 °C

(C) 546 °C

(D) 136.5 °C

Option b - 273 °C

## At 100 K and 0.1 atmospheric pressure, the volume of helium gas is 10 litres. If volume and pressure are doubled, its temperature will change to :

(A) 400 K

(B) 127 K

(C) 200 K

(D) 25 K

Option a - 400 K

## A sample of an ideal gas occupies a volume V at pressure P and absolute temperature T. The mass of each molecule is m. If k is Boltzmann's constant then the density of the gas is :

(A) mkT

(B) P/kT

(C) P/kTV

(D) mP/kT

Option d - mP/kT

## The volume of 2.8 g of carbon monoxide 27°C (CO) at and 0.821-atmosphere pressure is (R = 0.0821-litre atm/mol K) :

(A) 0.3 litre

(B) 3 litre

(C) 30 litre

(D) 60 litre

Option b - 3 litre

## When a gas enclosed in a vessel is heated through 1°C, the pressure increases by 0.5% the initial temperature of the gas will be :

(A) 200 K

(B) 200 °C

(C) 2000 K

(D) 2000 °C

Option a - 200 K

## The pressure exerted by hydrogen gas in a container is 4 atmosphere. If helium gas of the same mass is filled in a container, what is the pressure? :

(A) 4 atm

(B) 2 atm

(C) 8 atm

(D) 6 atm

Option b - 2 atm

## The temperature of a gas at pressure P and volume V is 27°C. Keeping its volume constant if its temperature is raised to 927 °C, then its pressure will be :

(A) 2P

(B) 3P

(C) 4P

(D) 6P

Option c - 4P

## The molecular weights of O₂ and N₂ are 32 and 28 respectively. At 15 °C, the pressure of 1g O₂ will be the same as that of 1g N₂ in the same bottle at the temperature :

(A) -21 °C

(B) 13 °C

(C) 15 °C

(D) 56.4 °C

Option a - -21 °C

## The diameter of a cylindrical tube is 2 m and water is flowing through the tube. If the coefficient of viscosity is 200 Ns/m² and Reynold's number is 1000 then the critical velocity of water is : (density of water = 1000 kg/m³)

(A) 50 m/s

(B) 100 m/s

(C) 150 m/s

(D) 200 m/s

Option b - 100 m/s

## If the terminal speed of a sphere of gold (density = 19.5 kg/m³) is 0.2 m/s in a viscous liquid (density = 1.5 kg/m³). Find the terminal speed of a sphere of silver (density = 10.5 kg/m³) of the same size in the same liquid.

(A) 0.1 m/s

(B) 0.2 m/s

(C) 0.3 m/s

(D) 0.4 m/s

Option a - 0.1 m/s

## Two different liquids are flowing in two tubes of equal radius. The ratio of coefficients of viscosity of liquids is 52 49 and the ratio of their densities is 13 : 1, then the ratio of their critical velocities will be :

(A) 4 : 49

(B) 49 : 4

(C) 2 : 7

(D) 7 : 2

Option a - 4 : 49

## A tank 5 m high is half filled with water and then filled to the top with oil of density 0.85 g/cm³. The pressure at the bottom of the tank, due to these liquids is :

(A) 1.85 x 10³ dyne/cm²

(B) 89.25 x 10³ dyne/cm²

(C) 462.5 x 10³ dyne/cm²

(D) 500 × 10³ dyne/cm²

Option c - 462.5 x 10³ dyne/cm²

## A square plate of 0.1 m side moves parallel to a second plate with a velocity of 0.1 m/s, both plates being immersed in water. If the viscous force is 0.002 N and the coefficient of viscosity is 0.02 poise, the distance between the plates is

(A) 0.0005 m

(B) 0.005 m

(C) 0.05 m

(D) 0.1 m

Option a - 0.0005 m

(A) 3 minute

(B) 5 minute

(C) 7 minute

(D) 9 minute

Option c - 7 minute

## When a large bubble rises from the bottom of a lake to the surface, its radius doubles. If atmospheric pressure is equal to that of a column of water height H, then the depth of the lake is :

(A) H

(B) 2H

(C) 7H

(D) 8H

Option c - 7H

## The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be 75 cm of Hg and the density of water to be 1/10 of the density of mercury, the depth of the lake is :

(A) 5 m

(B) 10 m

(C) 15 m

(D) 20

Option c - 15 m

## A cylinder of height 20 m is completely filled with water. The velocity of efflux of water through a small hole on the side wall of the cylinder near its bottom is :

(A) 5 m/s

(B) 10 m/s

(C) 20 m/s

(D) 25.5 m/s

Option c - 20 m/s

## A glass slab of length 5 cm and breadth 2 cm is kept on a thin layer of glycerine of thickness 1 mm. A horizontal force of 0.04 N is just sufficient to move the slab over glycerin with a velocity of 2 cm/s, calculate n :

(A) 1 Ns/m²

(B) 2 Ns/m²

(C) 3 Ns/m²

(D) 4 Ns/m²

Option b - 2 Ns/m²

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