Class 11 Physics: CBSE Sample Question Papers - 1 (2024-25) | Sample Papers for Class 11 Medical and Non-Medical - JEE PDF Download

 Page 1


Time Allowed: 3 hours Maximum Marks: 70 
General Instructions:
1. There are 33 questions in all. All questions are compulsory.
2. This question paper has five sections: Section A, Section B, Section C, Section D and Section E. All the sections
are compulsory.
3. Section A contains sixteen questions, twelve MCQ and four Assertion Reasoning based of 1 mark each, Section B
contains five questions of two marks each, Section C contains seven questions of three marks each, Section D
contains two case study-based questions of four marks each and Section E contains three long answer questions of
five marks each.
4. There is no overall choice. However, an internal choice has been provided in section B, C, D and E. You have to
attempt only one of the choices in such questions.
5. Use of calculators is not allowed.
Section A
a) meter, kilogram, second, ampere, Kelvin,
mole and watt
b) meter, Newton, second, ampere, Kelvin,
mole and candela
c) meter, kilogram, second, coulomb, Kelvin,
mole, candela and horse power
d) meter, kilogram, second, ampere, Kelvin,
mole and candela
1. In SI system the fundamental units are [1]
a) b)
c) s d) 0.25 s
2. Two tuning forks of frequency 250 Hz and 256Hz produce beats. If a maximum is produced just now, after how
much time the minimum is produced at the same place:
[1]
s 1 6 s 1 1 2 1 2 4 a) b)
c) d)
3. If  and  then the cross product  is given by: [1] = + + a ?  a x i ^ a y j ^ a z k ^ = + + b ?  b x i ^ b y j ^ b z k ^ × a ?  b ?  | | | | | i ^ a x b x j ^ a y b y k ^ a z b z | | | | | | | | | | i ^ a x b x j ^ a y b y k ^ a z b x | | | | | | | | | | i ^ a x b x j ^ a y b x k ^ a z b z | | | | | | | | | | i ^ a x b x j ^ a x b x k ^ a z b z | | | | | a) osmosis b) cohesion
4. Soldering of two metals possible because of the property of: [1]
Page 1 of 17
Page 2


Time Allowed: 3 hours Maximum Marks: 70 
General Instructions:
1. There are 33 questions in all. All questions are compulsory.
2. This question paper has five sections: Section A, Section B, Section C, Section D and Section E. All the sections
are compulsory.
3. Section A contains sixteen questions, twelve MCQ and four Assertion Reasoning based of 1 mark each, Section B
contains five questions of two marks each, Section C contains seven questions of three marks each, Section D
contains two case study-based questions of four marks each and Section E contains three long answer questions of
five marks each.
4. There is no overall choice. However, an internal choice has been provided in section B, C, D and E. You have to
attempt only one of the choices in such questions.
5. Use of calculators is not allowed.
Section A
a) meter, kilogram, second, ampere, Kelvin,
mole and watt
b) meter, Newton, second, ampere, Kelvin,
mole and candela
c) meter, kilogram, second, coulomb, Kelvin,
mole, candela and horse power
d) meter, kilogram, second, ampere, Kelvin,
mole and candela
1. In SI system the fundamental units are [1]
a) b)
c) s d) 0.25 s
2. Two tuning forks of frequency 250 Hz and 256Hz produce beats. If a maximum is produced just now, after how
much time the minimum is produced at the same place:
[1]
s 1 6 s 1 1 2 1 2 4 a) b)
c) d)
3. If  and  then the cross product  is given by: [1] = + + a ?  a x i ^ a y j ^ a z k ^ = + + b ?  b x i ^ b y j ^ b z k ^ × a ?  b ?  | | | | | i ^ a x b x j ^ a y b y k ^ a z b z | | | | | | | | | | i ^ a x b x j ^ a y b y k ^ a z b x | | | | | | | | | | i ^ a x b x j ^ a y b x k ^ a z b z | | | | | | | | | | i ^ a x b x j ^ a x b x k ^ a z b z | | | | | a) osmosis b) cohesion
4. Soldering of two metals possible because of the property of: [1]
Page 1 of 17
c) surface tension d) viscosity
a) b)
c) d)
5. A spherical planet has a mass M
p
 and diameter D
p
. A particle of mass m falling freely near the surface of this
planet will experience an acceleration due to gravity, equal to:
[1]
G M P D 2 P 4 m G M P D 2 P 4 G M P D 2 P m G M P D 2 P a) 330 b) 300
c) 500 d) 165
6. In a resonance tube, the first resonance with a tuning fork occurs at 16 cm and the second at 49 cm. If the
velocity of sound is 330 m/s, the frequency of the tuning fork is
[1]
a) -14.0 b) -12.0
c) -16.0 d) -18.0
7. A body moving with uniform acceleration has a velocity of 12.0 cm/s in the positive x-direction when its x
coordinate is 3.00 cm. If its x coordinate 2.00 seconds later is -5.00 cm, what is the magnitude of its acceleration
in ?
[1]
c m / s 2 a) 40 m/s b) 10 m/s
c) 5 m/s d) 20 m/s
8. A wave of frequency 100 Hz travels along a string towards its fixed end. When this wave travels back, after
reflection, a node is formed at a distance of 10 cm from the fixed end. The speed of the wave (incident and
reflected) is
[1]
a) acceleration due to Force b) acceleration due to gravity
c) height of liquid d) size of orifice
9. The velocity of efflux of a liquid through an orifice in the bottom of the tank does not depend upon [1]
a) b)
c) E d) 2E
10. A satellite is revolving around the earth with a kinetic energy E. The minimum addition of kinetic energy needed
to make it escape from its orbit is:
[1]
E - - v E 2 a) b)
c) mr d)
mr
2
 
11. A ring of radius r and mass m rotates about its central axis. The kinetic energy is: [1]
m r ? 2 2 m r 2 ? 2 2 ? 2 ? 2 a) absortance b) inductance
c) transmittance d) conductance
12. Ratio of the amount of heat radiation, transmitted through the body to the amount of heat radiation incident on it,
is known as
[1]
13. Assertion (A): Power developed in circular motion is always zero. 
Reason (R): Work done in case of circular motion is zero. 
[1]
Page 2 of 17
Page 3


Time Allowed: 3 hours Maximum Marks: 70 
General Instructions:
1. There are 33 questions in all. All questions are compulsory.
2. This question paper has five sections: Section A, Section B, Section C, Section D and Section E. All the sections
are compulsory.
3. Section A contains sixteen questions, twelve MCQ and four Assertion Reasoning based of 1 mark each, Section B
contains five questions of two marks each, Section C contains seven questions of three marks each, Section D
contains two case study-based questions of four marks each and Section E contains three long answer questions of
five marks each.
4. There is no overall choice. However, an internal choice has been provided in section B, C, D and E. You have to
attempt only one of the choices in such questions.
5. Use of calculators is not allowed.
Section A
a) meter, kilogram, second, ampere, Kelvin,
mole and watt
b) meter, Newton, second, ampere, Kelvin,
mole and candela
c) meter, kilogram, second, coulomb, Kelvin,
mole, candela and horse power
d) meter, kilogram, second, ampere, Kelvin,
mole and candela
1. In SI system the fundamental units are [1]
a) b)
c) s d) 0.25 s
2. Two tuning forks of frequency 250 Hz and 256Hz produce beats. If a maximum is produced just now, after how
much time the minimum is produced at the same place:
[1]
s 1 6 s 1 1 2 1 2 4 a) b)
c) d)
3. If  and  then the cross product  is given by: [1] = + + a ?  a x i ^ a y j ^ a z k ^ = + + b ?  b x i ^ b y j ^ b z k ^ × a ?  b ?  | | | | | i ^ a x b x j ^ a y b y k ^ a z b z | | | | | | | | | | i ^ a x b x j ^ a y b y k ^ a z b x | | | | | | | | | | i ^ a x b x j ^ a y b x k ^ a z b z | | | | | | | | | | i ^ a x b x j ^ a x b x k ^ a z b z | | | | | a) osmosis b) cohesion
4. Soldering of two metals possible because of the property of: [1]
Page 1 of 17
c) surface tension d) viscosity
a) b)
c) d)
5. A spherical planet has a mass M
p
 and diameter D
p
. A particle of mass m falling freely near the surface of this
planet will experience an acceleration due to gravity, equal to:
[1]
G M P D 2 P 4 m G M P D 2 P 4 G M P D 2 P m G M P D 2 P a) 330 b) 300
c) 500 d) 165
6. In a resonance tube, the first resonance with a tuning fork occurs at 16 cm and the second at 49 cm. If the
velocity of sound is 330 m/s, the frequency of the tuning fork is
[1]
a) -14.0 b) -12.0
c) -16.0 d) -18.0
7. A body moving with uniform acceleration has a velocity of 12.0 cm/s in the positive x-direction when its x
coordinate is 3.00 cm. If its x coordinate 2.00 seconds later is -5.00 cm, what is the magnitude of its acceleration
in ?
[1]
c m / s 2 a) 40 m/s b) 10 m/s
c) 5 m/s d) 20 m/s
8. A wave of frequency 100 Hz travels along a string towards its fixed end. When this wave travels back, after
reflection, a node is formed at a distance of 10 cm from the fixed end. The speed of the wave (incident and
reflected) is
[1]
a) acceleration due to Force b) acceleration due to gravity
c) height of liquid d) size of orifice
9. The velocity of efflux of a liquid through an orifice in the bottom of the tank does not depend upon [1]
a) b)
c) E d) 2E
10. A satellite is revolving around the earth with a kinetic energy E. The minimum addition of kinetic energy needed
to make it escape from its orbit is:
[1]
E - - v E 2 a) b)
c) mr d)
mr
2
 
11. A ring of radius r and mass m rotates about its central axis. The kinetic energy is: [1]
m r ? 2 2 m r 2 ? 2 2 ? 2 ? 2 a) absortance b) inductance
c) transmittance d) conductance
12. Ratio of the amount of heat radiation, transmitted through the body to the amount of heat radiation incident on it,
is known as
[1]
13. Assertion (A): Power developed in circular motion is always zero. 
Reason (R): Work done in case of circular motion is zero. 
[1]
Page 2 of 17
Section B
Section C
a) Both A and R are true and R is the correct
explanation of A.
b) Both A and R are true but R is not the
correct explanation of A.
c) A is true but R is false. d) A is false but R is true.
a) Assertion and reason both are correct
statements and reason is correct explanation
for assertion.
b) Assertion and reason both are correct
statements but reason is not correct
explanation for assertion.
c) Assertion is correct statement but reason is
wrong statement.
d) Assertion is wrong statement but reason is
correct statement.
14. Assertion: If two bodies are in thermal equilibrium in one frame, they will be in thermal equilibrium in all
frames. 
Reason: The transfer of energy from a hot body to a cold body is a non mechanical process, i.e., the energy is
transferred from one body to the other, without any mechanical work.
[1]
a) Both A and R are true and R is the correct
explanation of A.
b) Both A and R are true but R is not the
correct explanation of A.
c) A is true but R is false. d) A is false but R is true.
15. Assertion (A): The force of attraction due to a hollow spherical shell of uniform density, on a point mass
situated inside it is zero. 
Reason (R): Various region of the spherical shell attract the point mass inside it in various directions. These
forces cancel each other completely.
[1]
a) Both A and R are true and R is the correct
explanation of A.
b) Both A and R are true but R is not the
correct explanation of A.
c) A is true but R is false. d) A is false but R is true.
16. Assertion (A): Speed is constant in uniform circular motion. 
Reason (R): Acceleration is constant in uniform circular motion.
[1]
17. If two waves of the same frequency but of different amplitudes travelling in opposite directions through a
medium superpose upon each other, will they form stationary wave? Is energy transferred? Are there any nodes?
[2]
18. Find the value of 60 W on a system having 100 g, 20 cm and 1 min as the fundamental units. [2]
19. The displacement of a progressive wave is represented by y = A sin( t - kx), where x is distance and t is time.
Write the dimensional formula of
i.  and
ii. k.
[2] ? ? 20. What do you mean by inertia of motion? Give an example to illustrate it. [2]
21. How much below the surface of the earth does the acceleration due to gravity become 70% of its value at the
surface of the earth? Radius of the earth is 6400 km.
[2]
OR
The mass of planet Jupiter is 1.9  10
27
 kg and that of the sun is 1.99  10
30
kg. The mean distance of Jupiter from
the Sun is 7.8  10
11
m. Calculate gravitational force which sun exerts on Jupiter, and the speed of Jupiter.
× × × Page 3 of 17
Page 4


Time Allowed: 3 hours Maximum Marks: 70 
General Instructions:
1. There are 33 questions in all. All questions are compulsory.
2. This question paper has five sections: Section A, Section B, Section C, Section D and Section E. All the sections
are compulsory.
3. Section A contains sixteen questions, twelve MCQ and four Assertion Reasoning based of 1 mark each, Section B
contains five questions of two marks each, Section C contains seven questions of three marks each, Section D
contains two case study-based questions of four marks each and Section E contains three long answer questions of
five marks each.
4. There is no overall choice. However, an internal choice has been provided in section B, C, D and E. You have to
attempt only one of the choices in such questions.
5. Use of calculators is not allowed.
Section A
a) meter, kilogram, second, ampere, Kelvin,
mole and watt
b) meter, Newton, second, ampere, Kelvin,
mole and candela
c) meter, kilogram, second, coulomb, Kelvin,
mole, candela and horse power
d) meter, kilogram, second, ampere, Kelvin,
mole and candela
1. In SI system the fundamental units are [1]
a) b)
c) s d) 0.25 s
2. Two tuning forks of frequency 250 Hz and 256Hz produce beats. If a maximum is produced just now, after how
much time the minimum is produced at the same place:
[1]
s 1 6 s 1 1 2 1 2 4 a) b)
c) d)
3. If  and  then the cross product  is given by: [1] = + + a ?  a x i ^ a y j ^ a z k ^ = + + b ?  b x i ^ b y j ^ b z k ^ × a ?  b ?  | | | | | i ^ a x b x j ^ a y b y k ^ a z b z | | | | | | | | | | i ^ a x b x j ^ a y b y k ^ a z b x | | | | | | | | | | i ^ a x b x j ^ a y b x k ^ a z b z | | | | | | | | | | i ^ a x b x j ^ a x b x k ^ a z b z | | | | | a) osmosis b) cohesion
4. Soldering of two metals possible because of the property of: [1]
Page 1 of 17
c) surface tension d) viscosity
a) b)
c) d)
5. A spherical planet has a mass M
p
 and diameter D
p
. A particle of mass m falling freely near the surface of this
planet will experience an acceleration due to gravity, equal to:
[1]
G M P D 2 P 4 m G M P D 2 P 4 G M P D 2 P m G M P D 2 P a) 330 b) 300
c) 500 d) 165
6. In a resonance tube, the first resonance with a tuning fork occurs at 16 cm and the second at 49 cm. If the
velocity of sound is 330 m/s, the frequency of the tuning fork is
[1]
a) -14.0 b) -12.0
c) -16.0 d) -18.0
7. A body moving with uniform acceleration has a velocity of 12.0 cm/s in the positive x-direction when its x
coordinate is 3.00 cm. If its x coordinate 2.00 seconds later is -5.00 cm, what is the magnitude of its acceleration
in ?
[1]
c m / s 2 a) 40 m/s b) 10 m/s
c) 5 m/s d) 20 m/s
8. A wave of frequency 100 Hz travels along a string towards its fixed end. When this wave travels back, after
reflection, a node is formed at a distance of 10 cm from the fixed end. The speed of the wave (incident and
reflected) is
[1]
a) acceleration due to Force b) acceleration due to gravity
c) height of liquid d) size of orifice
9. The velocity of efflux of a liquid through an orifice in the bottom of the tank does not depend upon [1]
a) b)
c) E d) 2E
10. A satellite is revolving around the earth with a kinetic energy E. The minimum addition of kinetic energy needed
to make it escape from its orbit is:
[1]
E - - v E 2 a) b)
c) mr d)
mr
2
 
11. A ring of radius r and mass m rotates about its central axis. The kinetic energy is: [1]
m r ? 2 2 m r 2 ? 2 2 ? 2 ? 2 a) absortance b) inductance
c) transmittance d) conductance
12. Ratio of the amount of heat radiation, transmitted through the body to the amount of heat radiation incident on it,
is known as
[1]
13. Assertion (A): Power developed in circular motion is always zero. 
Reason (R): Work done in case of circular motion is zero. 
[1]
Page 2 of 17
Section B
Section C
a) Both A and R are true and R is the correct
explanation of A.
b) Both A and R are true but R is not the
correct explanation of A.
c) A is true but R is false. d) A is false but R is true.
a) Assertion and reason both are correct
statements and reason is correct explanation
for assertion.
b) Assertion and reason both are correct
statements but reason is not correct
explanation for assertion.
c) Assertion is correct statement but reason is
wrong statement.
d) Assertion is wrong statement but reason is
correct statement.
14. Assertion: If two bodies are in thermal equilibrium in one frame, they will be in thermal equilibrium in all
frames. 
Reason: The transfer of energy from a hot body to a cold body is a non mechanical process, i.e., the energy is
transferred from one body to the other, without any mechanical work.
[1]
a) Both A and R are true and R is the correct
explanation of A.
b) Both A and R are true but R is not the
correct explanation of A.
c) A is true but R is false. d) A is false but R is true.
15. Assertion (A): The force of attraction due to a hollow spherical shell of uniform density, on a point mass
situated inside it is zero. 
Reason (R): Various region of the spherical shell attract the point mass inside it in various directions. These
forces cancel each other completely.
[1]
a) Both A and R are true and R is the correct
explanation of A.
b) Both A and R are true but R is not the
correct explanation of A.
c) A is true but R is false. d) A is false but R is true.
16. Assertion (A): Speed is constant in uniform circular motion. 
Reason (R): Acceleration is constant in uniform circular motion.
[1]
17. If two waves of the same frequency but of different amplitudes travelling in opposite directions through a
medium superpose upon each other, will they form stationary wave? Is energy transferred? Are there any nodes?
[2]
18. Find the value of 60 W on a system having 100 g, 20 cm and 1 min as the fundamental units. [2]
19. The displacement of a progressive wave is represented by y = A sin( t - kx), where x is distance and t is time.
Write the dimensional formula of
i.  and
ii. k.
[2] ? ? 20. What do you mean by inertia of motion? Give an example to illustrate it. [2]
21. How much below the surface of the earth does the acceleration due to gravity become 70% of its value at the
surface of the earth? Radius of the earth is 6400 km.
[2]
OR
The mass of planet Jupiter is 1.9  10
27
 kg and that of the sun is 1.99  10
30
kg. The mean distance of Jupiter from
the Sun is 7.8  10
11
m. Calculate gravitational force which sun exerts on Jupiter, and the speed of Jupiter.
× × × Page 3 of 17
Section D
22. A mercury drop of radius 1.0 cm is sprayed into 10
6
 droplets of equal size. Calculate the energy expended. The
surface tension of mercury = 32  10
-2 
Nm
-1
.
[3]
× 23. Define thermal conduction. Briefly explain its molecular mechanism. [3]
24. A particle is moving along a straight line and its position is given by the relation x = (t
3
 - 6t
2
 - 15t + 40)m Find:
a. The time at which velocity is zero.
b. Position and displacement of the particle at that point.
c. Acceleration of the particle at that point.
[3]
25. A block of wood of mass 3 kg is resting on the surface of a rough inclined surface, inclined at an angle  as
shown in the figure. 
a. Name the forces (1, 2, 3).
b. If the coefficient of static friction is 0.2, calculate the value of all three forces. 
(use g = 10m/s
2
)
[3] ? 26. One kilogram molecule of a gas at 400k expands isothermally until its volume is doubled. Find the amount of
work done and heat produced.
[3]
27. A mass of 4 kg rests on a horizontal plane. The plane is gradually inclined until at an angle  = 15° with the
horizontal, the mass just begins to slide. What is the coefficient of static friction between the block and the
surface? 
[3] ? 28. The flow rate of water from a tap of diameter 1.25 cm is 0.48 . The coefficient of viscosity of water is 10
-3
Pa s. After some time the flow rate is increased to 3 L/min. Characterise the flow for both the flow rates.
[3]
OR
What is terminal velocity and derive an expression for it?
L m i n 29. Read the text carefully and answer the questions:
There are many types of spring. Important among these are helical and spiral springs as shown in the figure. 
Usually, we assume that the springs are massless. Therefore, work done is stored in the spring in the form of the
[4]
Page 4 of 17
Page 5


Time Allowed: 3 hours Maximum Marks: 70 
General Instructions:
1. There are 33 questions in all. All questions are compulsory.
2. This question paper has five sections: Section A, Section B, Section C, Section D and Section E. All the sections
are compulsory.
3. Section A contains sixteen questions, twelve MCQ and four Assertion Reasoning based of 1 mark each, Section B
contains five questions of two marks each, Section C contains seven questions of three marks each, Section D
contains two case study-based questions of four marks each and Section E contains three long answer questions of
five marks each.
4. There is no overall choice. However, an internal choice has been provided in section B, C, D and E. You have to
attempt only one of the choices in such questions.
5. Use of calculators is not allowed.
Section A
a) meter, kilogram, second, ampere, Kelvin,
mole and watt
b) meter, Newton, second, ampere, Kelvin,
mole and candela
c) meter, kilogram, second, coulomb, Kelvin,
mole, candela and horse power
d) meter, kilogram, second, ampere, Kelvin,
mole and candela
1. In SI system the fundamental units are [1]
a) b)
c) s d) 0.25 s
2. Two tuning forks of frequency 250 Hz and 256Hz produce beats. If a maximum is produced just now, after how
much time the minimum is produced at the same place:
[1]
s 1 6 s 1 1 2 1 2 4 a) b)
c) d)
3. If  and  then the cross product  is given by: [1] = + + a ?  a x i ^ a y j ^ a z k ^ = + + b ?  b x i ^ b y j ^ b z k ^ × a ?  b ?  | | | | | i ^ a x b x j ^ a y b y k ^ a z b z | | | | | | | | | | i ^ a x b x j ^ a y b y k ^ a z b x | | | | | | | | | | i ^ a x b x j ^ a y b x k ^ a z b z | | | | | | | | | | i ^ a x b x j ^ a x b x k ^ a z b z | | | | | a) osmosis b) cohesion
4. Soldering of two metals possible because of the property of: [1]
Page 1 of 17
c) surface tension d) viscosity
a) b)
c) d)
5. A spherical planet has a mass M
p
 and diameter D
p
. A particle of mass m falling freely near the surface of this
planet will experience an acceleration due to gravity, equal to:
[1]
G M P D 2 P 4 m G M P D 2 P 4 G M P D 2 P m G M P D 2 P a) 330 b) 300
c) 500 d) 165
6. In a resonance tube, the first resonance with a tuning fork occurs at 16 cm and the second at 49 cm. If the
velocity of sound is 330 m/s, the frequency of the tuning fork is
[1]
a) -14.0 b) -12.0
c) -16.0 d) -18.0
7. A body moving with uniform acceleration has a velocity of 12.0 cm/s in the positive x-direction when its x
coordinate is 3.00 cm. If its x coordinate 2.00 seconds later is -5.00 cm, what is the magnitude of its acceleration
in ?
[1]
c m / s 2 a) 40 m/s b) 10 m/s
c) 5 m/s d) 20 m/s
8. A wave of frequency 100 Hz travels along a string towards its fixed end. When this wave travels back, after
reflection, a node is formed at a distance of 10 cm from the fixed end. The speed of the wave (incident and
reflected) is
[1]
a) acceleration due to Force b) acceleration due to gravity
c) height of liquid d) size of orifice
9. The velocity of efflux of a liquid through an orifice in the bottom of the tank does not depend upon [1]
a) b)
c) E d) 2E
10. A satellite is revolving around the earth with a kinetic energy E. The minimum addition of kinetic energy needed
to make it escape from its orbit is:
[1]
E - - v E 2 a) b)
c) mr d)
mr
2
 
11. A ring of radius r and mass m rotates about its central axis. The kinetic energy is: [1]
m r ? 2 2 m r 2 ? 2 2 ? 2 ? 2 a) absortance b) inductance
c) transmittance d) conductance
12. Ratio of the amount of heat radiation, transmitted through the body to the amount of heat radiation incident on it,
is known as
[1]
13. Assertion (A): Power developed in circular motion is always zero. 
Reason (R): Work done in case of circular motion is zero. 
[1]
Page 2 of 17
Section B
Section C
a) Both A and R are true and R is the correct
explanation of A.
b) Both A and R are true but R is not the
correct explanation of A.
c) A is true but R is false. d) A is false but R is true.
a) Assertion and reason both are correct
statements and reason is correct explanation
for assertion.
b) Assertion and reason both are correct
statements but reason is not correct
explanation for assertion.
c) Assertion is correct statement but reason is
wrong statement.
d) Assertion is wrong statement but reason is
correct statement.
14. Assertion: If two bodies are in thermal equilibrium in one frame, they will be in thermal equilibrium in all
frames. 
Reason: The transfer of energy from a hot body to a cold body is a non mechanical process, i.e., the energy is
transferred from one body to the other, without any mechanical work.
[1]
a) Both A and R are true and R is the correct
explanation of A.
b) Both A and R are true but R is not the
correct explanation of A.
c) A is true but R is false. d) A is false but R is true.
15. Assertion (A): The force of attraction due to a hollow spherical shell of uniform density, on a point mass
situated inside it is zero. 
Reason (R): Various region of the spherical shell attract the point mass inside it in various directions. These
forces cancel each other completely.
[1]
a) Both A and R are true and R is the correct
explanation of A.
b) Both A and R are true but R is not the
correct explanation of A.
c) A is true but R is false. d) A is false but R is true.
16. Assertion (A): Speed is constant in uniform circular motion. 
Reason (R): Acceleration is constant in uniform circular motion.
[1]
17. If two waves of the same frequency but of different amplitudes travelling in opposite directions through a
medium superpose upon each other, will they form stationary wave? Is energy transferred? Are there any nodes?
[2]
18. Find the value of 60 W on a system having 100 g, 20 cm and 1 min as the fundamental units. [2]
19. The displacement of a progressive wave is represented by y = A sin( t - kx), where x is distance and t is time.
Write the dimensional formula of
i.  and
ii. k.
[2] ? ? 20. What do you mean by inertia of motion? Give an example to illustrate it. [2]
21. How much below the surface of the earth does the acceleration due to gravity become 70% of its value at the
surface of the earth? Radius of the earth is 6400 km.
[2]
OR
The mass of planet Jupiter is 1.9  10
27
 kg and that of the sun is 1.99  10
30
kg. The mean distance of Jupiter from
the Sun is 7.8  10
11
m. Calculate gravitational force which sun exerts on Jupiter, and the speed of Jupiter.
× × × Page 3 of 17
Section D
22. A mercury drop of radius 1.0 cm is sprayed into 10
6
 droplets of equal size. Calculate the energy expended. The
surface tension of mercury = 32  10
-2 
Nm
-1
.
[3]
× 23. Define thermal conduction. Briefly explain its molecular mechanism. [3]
24. A particle is moving along a straight line and its position is given by the relation x = (t
3
 - 6t
2
 - 15t + 40)m Find:
a. The time at which velocity is zero.
b. Position and displacement of the particle at that point.
c. Acceleration of the particle at that point.
[3]
25. A block of wood of mass 3 kg is resting on the surface of a rough inclined surface, inclined at an angle  as
shown in the figure. 
a. Name the forces (1, 2, 3).
b. If the coefficient of static friction is 0.2, calculate the value of all three forces. 
(use g = 10m/s
2
)
[3] ? 26. One kilogram molecule of a gas at 400k expands isothermally until its volume is doubled. Find the amount of
work done and heat produced.
[3]
27. A mass of 4 kg rests on a horizontal plane. The plane is gradually inclined until at an angle  = 15° with the
horizontal, the mass just begins to slide. What is the coefficient of static friction between the block and the
surface? 
[3] ? 28. The flow rate of water from a tap of diameter 1.25 cm is 0.48 . The coefficient of viscosity of water is 10
-3
Pa s. After some time the flow rate is increased to 3 L/min. Characterise the flow for both the flow rates.
[3]
OR
What is terminal velocity and derive an expression for it?
L m i n 29. Read the text carefully and answer the questions:
There are many types of spring. Important among these are helical and spiral springs as shown in the figure. 
Usually, we assume that the springs are massless. Therefore, work done is stored in the spring in the form of the
[4]
Page 4 of 17
elastic potential energy of the spring. Thus, the potential energy of a spring is the energy associated with the
state of compression or expansion of an elastic spring.
OR
a) If work is done against conservative
force
b) If work is done by non-conservative
force
c) If work is done by conservative force d) If work is done against non-
conservative force
The potential energy of a spring increases in which of the following cases? (a)
a) gravitational force is constant b) x = 0
c) infinite distance from the gravitational
source
d) All of these
The potential energy, i.e. U(x) can be assumed zero when (b)
a) 3 : 2 b) 9 : 4
c) 2 : 3 d) 4 : 9
The ratio of spring constants of two springs is 2 : 3. What is the ratio of their potential energy, if they are
stretched by the same force?
(c)
a) 40 J b) 10 J
c) 30 J d) 20 J
The potential energy of a spring when stretched through a distance x is 10 J. What is the amount of work
done on the same spring to stretch it through an additional distance x?
a) 36 J b) 30 J
c) 27 J d) 33 J
The potential energy of a spring increases by 15 J when stretched by 3 cm. If it is stretched by 4 cm, the
increase in potential energy is
(d)
30. Read the text carefully and answer the questions:
The number of independent ways by which a dynamic system can move, without violating any constraint
imposed on it, is called the number of degrees of freedom. According to the law of equipartition of energy, for
any dynamic system in thermal equilibrium, the total energy for the system is equally divided among the degree
of freedom.
[4]
Page 5 of 17