Navbodh Physics Class 11 MCQ 2025 PDF Download

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Navbodh Physics Class 11 MCQs for Students

How many dry cells, each with an emf of 1.5 V and internal resistance of 0.5 Ω, must be connected in series with a 20 Ω resistor to produce a current of 0.6 A?

(a) 2

(b) 8

(d) 20

Option c - 10

A 10 V battery with an internal resistance of 0.5 Ω is connected to a variable resistor. What value of resistance allows the battery to deliver maximum power?

(a) 2 Ω

(b) 1.5 Ω

(d) 0.5 Ω

Option d - 0.5 Ω

A car battery has an emf of 12 V and an internal resistance of 0.4 Ω. What is the highest current it can supply?

(a) 30 A

(b) 6 A

(d) 5 A

Option a - 30 A

A battery connected to a 9 Ω resistor shows a terminal voltage drop from 40 V to 30 V. What is its internal resistance?

(a) 3 Ω

(b) 9 Ω

(d) 12 Ω

Option a - 3 Ω

Three identical resistors connected across a power supply dissipate 10 W in total. What is the power dissipation if they are connected in parallel to the same supply?

(a) 5 W

(b) 10 W

(d) 90 W

Option d - 90 W

A wire with 8 Ω resistance is bent in half and the ends are twisted together. What is the new resistance?

(a) 4 Ω

(b) 8 Ω

(d) 2 Ω

Option d - 2 Ω

A 20 cm wire with 5 Ω resistance is stretched to 40 cm. What will its new resistance be?

(a) 40 Ω

(b) 20 Ω

(d) 200 Ω

Option b - 20 Ω

A Carnot engine operating between 450 K and 600 K produces 300 J of work per cycle. How much heat is absorbed from the source per cycle?

(a) 400 J

(b) 800 J

(d) 1600 J

Option c - 1200 J

A Carnot engine has a sink temperature of 27 °C and an efficiency of 25%. What is the source temperature?

(a) 127 °C

(b) 227 °C

(d) 427 °C

Option a - 127 °C

Which temperature range results in the highest Carnot engine efficiency?

(a) 40 K and 20 K

(b) 50 K and 30 K

(d) 90 K and 60 K

Option a - 40 K and 20 K

A Carnot engine has equal efficiency when operating between 800 K and 500 K and also between x K and 400 K. Find x.

(a) 550 K

(b) 640 K

(d) 900 K

Option b - 640 K

A Carnot engine has the same efficiency when working between 100 K and 500 K and between T and 900 K. Find T.

(a) 130 K

(b) 160 K

(d) 200 K

Option c - 180 K

A Carnot engine uses a diatomic gas and expands adiabatically from volume V to 32V. What is its efficiency?

(a) 0.25

(b) 0.50

(d) 0.99

Option c - 0.75

A Carnot engine operating with a source at 127 °C absorbs 500 cal and releases 400 cal per cycle. What is the sink temperature?

(a) 37 °C

(b) 47 °C

(d) 27 °C

Option b - 47 °C

What is the minimum work needed to freeze 10 g of water at 0 °C using a refrigerator in surroundings at 27 °C?

(a) 50 cal

(b) 63 cal

(d) 79 cal

Option d - 79 cal

A refrigerator has a COP of 5 and maintains the freezer at -20 °C. What is the surrounding temperature where it discharges heat?

(a) 11 °C

(b) 21 °C

(d) 41 °C

Option c - 31 °C

A refrigerator removes 1600 cal of heat from the freezer. If its COP is 4, what is the required work input in calories?

(a) 200 cal

(b) 300 cal

(d) 500 cal

Option c - 400 cal

An ideal refrigerator operates with a freezer at -13 °C and a COP of 5. What is the ambient temperature to which heat is expelled?

(a) 39 K

(b) 39 °C

(d) 320 °C

Option b - 39 °C

If a reversible refrigerator has inside and outside temperatures of 273 K and 303 K, how much heat is expelled to surroundings per 1 J of work input?

(a) 10 J

(b) 20 J

(d) 50 J

Option a - 10 J

A sphere, cube, and thin plate all of same mass and material are heated to 300 °C. Which cools fastest?

(a) Sphere

(b) Cube

(d) None

Option c - Plate

A liquid is cooled in a room at 20 °C. When its temperature is 80 °C, it loses 60 cal/s. How much heat will it lose when the temperature is 40 °C?

(a) 180 cal/s

(b) 3.68 cal/s

(d) 16.3 cal/s

Option d - 16.3 cal/s

At NTP, air has a density of 1.293 kg/m³. What is the approximate RMS speed?

(a) 0.50 km/s

(b) 0.96 km/s

(d) 0.64 km/s

Option c - 0.48 km/s

At what temperature will hydrogen molecules have an RMS speed equal to the earth's escape velocity?

(a) 1060 K

(b) 5030 K

(d) 10063 K

Option d - 10063 K

Four gas molecules have speeds 1 m/s, 4 m/s, 8 m/s, and 16 m/s. What is their RMS speed?

(a) 7.25 m/s

(b) 52.56 m/s

(d) 9.2 m/s

Option d - 9.2 m/s

By what percentage should the pressure be increased to reduce the volume of a gas by 10% at constant temperature?

(A) 8.1%

(B) 9.1%

(D) 11.1%

Option d - 11.1%

A perfect gas initially at 27°C is heated at constant pressure until the temperature reaches 327°C. If the initial volume is V, what will be the new volume?

(A) V/2

(B) 2V

(D) 8V

Option b - 2V

For a gas with density ρ and root mean square (RMS) speed C, moving with a bulk velocity V, the pressure it exerts is:

(A) (1/3)ρC²

(B) (1/3)ρ(C + V)²

(D) (1/3)ρ(C² − V)²

Option a - (1/3)ρC²

Two containers, A and B, hold ideal gases with the following parameters: A has P, V, T and B has 2P, V/4, and 2T. What is the ratio of molecules in A to B?

(A) 1:1

(B) 1:2

(D) 4:1

Option d - 4:1

Given a gas with γ = 1.42 and a sound speed of 500 m/s, what is the RMS speed of its molecules?

(A) 727 m/s

(B) 527 m/s

(D) 750 m/s

Option a - 727 m/s

A perfect gas is heated at constant pressure until its volume triples. Starting from 27°C, what is the final temperature?

(A) 81°C

(B) 900°C

(D) 450°C

Option c - 627°C

If the mass of an oxygen molecule is 16 times that of a hydrogen molecule, and the RMS speed of oxygen is V, what is the RMS speed of hydrogen at the same temperature?

(A) V/16

(B) V/4

(D) 16V

Option c - 4V

A gas in a sealed container is at 250 K. If it is heated by 1°C, what is the percentage rise in pressure?

(A) 0.4%

(B) 0.6%

(D) 1.0%

Option a - 0.4%

If a gas occupies 100 cc at 1 atm and 373.15 K, what will its volume be at 4 atm, keeping the temperature constant?

(A) 25 cc

(B) 100 cc

(D) 104 cc

Option a - 25 cc

A gas mixture contains hydrogen and oxygen in a 1:5 ratio. What is the ratio of the average kinetic energies of the two gases?

(A) 1:5

(B) 5:1

(D) 1:25

Option c - 1:1

Equal masses, volumes, and pressures of oxygen and hydrogen gases are compared. What is the ratio of their absolute temperatures?

(A) 1/4

(B) 4

(D) 16

Option d - 16

Four moles of an ideal gas are heated at constant pressure until their volume doubles. What will be the final temperature if the initial is 0°C?

(A) 0°C

(B) 273°C

(D) 136.5°C

Option b - 273°C

A helium sample is at 100 K and 0.1 atm pressure in a 10-litre container. If volume and pressure both double, what is the new temperature?

(A) 400 K

(B) 127 K

(D) 25 K

Option a - 400 K

For a gas at volume V, pressure P, and temperature T, with molecular mass m and Boltzmann's constant k, the density is:

(A) mkT

(B) P/kT

(D) mP/kT

Option d - mP/kT

Calculate the volume of 2.8 g CO at 27°C and 0.821 atm using R = 0.0821 L atm/mol K:

(A) 0.3 L

(B) 3 L

(D) 60 L

Option b - 3 L

When a gas is heated by 1°C and pressure increases by 0.5%, what is the original temperature?

(A) 200 K

(B) 200°C

(D) 2000°C

Option a - 200 K

If hydrogen gas exerts 4 atm pressure and helium of the same mass is used instead, what will be the pressure?

(A) 4 atm

(B) 2 atm

(D) 6 atm

Option b - 2 atm

A gas at pressure P and volume V has a temperature of 27°C. If temperature is increased to 927°C with constant volume, what is the final pressure?

(A) 2P

(B) 3P

(D) 6P

Option c - 4P

For equal masses of O₂ (MW = 32) and N₂ (MW = 28) in identical bottles at same pressure, the temperature of N₂ must be:

(A) -21°C

(B) 13°C

(D) 56.4°C

Option a - -21°C

If the diameter of a pipe is 2 m and water flows through it with a viscosity of 200 Ns/m², what is the critical velocity when Reynolds number is 1000? (ρ = 1000 kg/m³)

(A) 50 m/s

(B) 100 m/s

(D) 200 m/s

Option b - 100 m/s

A gold sphere (density 19.5 kg/m³) has a terminal velocity of 0.2 m/s. What is the terminal speed for a silver sphere (density 10.5 kg/m³) of same size in the same fluid (density 1.5 kg/m³)?

(A) 0.1 m/s

(B) 0.2 m/s

(D) 0.4 m/s

Option a - 0.1 m/s

Two liquids flow through pipes of equal radii. If their viscosities are in the ratio 52:49 and densities 13:1, what is the critical velocity ratio?

(A) 4:49

(B) 49:4

(D) 7:2

Option a - 4:49

A 5 m tall tank is half-filled with water and topped with oil (density = 0.85 g/cm³). What is the pressure at the bottom?

(A) 1.85 × 10³ dyne/cm²

(B) 89.25 × 10³ dyne/cm²

(D) 500 × 10³ dyne/cm²

Option c - 462.5 × 10³ dyne/cm²

A square plate (0.1 m side) slides over another plate in water with a velocity of 0.1 m/s. If the viscous force is 0.002 N and viscosity is 0.02 poise, what is the separation between plates?

(A) 0.0005 m

(B) 0.005 m

(D) 0.1 m

Option a - 0.0005 m

A vessel full of water drains in 10 minutes through an orifice. How long will it take to empty if only half-filled?

(A) 3 min

(B) 5 min

(D) 9 min

Option c - 7 min

A large air bubble rises in a lake and its radius doubles. If atmospheric pressure equals a water column of height H, what is the lake's depth?

(A) H

(B) 2H

(D) 8H

Option c - 7H

An air bubble's volume triples from lake bottom to surface. If atmospheric pressure is 75 cm Hg and water density is 1/10 that of mercury, how deep is the lake?

(A) 5 m

(B) 10 m

(D) 20 m

Option c - 15 m

A 20 m high cylindrical tank filled with water has a small hole near its bottom. What is the efflux speed of water from the hole?

(A) 5 m/s

(B) 10 m/s

(D) 25.5 m/s

Option c - 20 m/s

A glass slab (5 cm × 2 cm) is placed over 1 mm of glycerin. A horizontal force of 0.04 N moves it at 2 cm/s. What is the viscosity η?

(A) 1 Ns/m²

(B) 2 Ns/m²

(D) 4 Ns/m²

Option b - 2 Ns/m²

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