Sample Paper 4 with Solution: Physics, Class 11 | Physics Class 11 - NEET PDF Download

 Page 1


  
 
CBSE  | Physics  
Sample Paper 4  
 
     
CBSE Board 
Class XI Physics 
Sample Paper-4 
Time: - 3         Marks: - 70 Marks 
 
General Instructions 
(a) All questions are compulsory. 
(b) There are 29 questions in total. Questions 1 to 8 carry one mark each, questions 9 to 
16 carry two marks each, questions 17 to 25 carry three marks each and questions 
27 to 29 carry five marks each. 
(c) Question 26 is a value based question carrying four marks. 
(d) There is no overall choice. However, an internal choice has been provided in one 
question of two marks, one question of three marks and all three questions of five 
marks each. You have to attempt only one of the given choices in such questions. 
(e) Use of calculator is not permitted. 
(f) You may use the following physical constants wherever necessary. 
19
81
34
72
23 1
23
27
1.6 10
3 10
6.6 10
4 10
1.38 10
6.023 10 /
1.6 10
o
B
A
n
N
eC
c ms
h JS
A
k JK
N mole
m kg
??
?
?
?
??
?
?
??
??
??
??
??
??
??
  
 
1. Give the number of significant figures in
3
5.300 10 ? .     (1) 
 
2. The dimension 
12
ML T
??
 corresponds to which quantity?    (1) 
 
3. Why do we use a wrench of long arm to unscrew a nut tightly fitted to a bolt?  (1) 
 
4. Can kinetic energy be negative? What about potential energy?   (1) 
 
5. Does the spring constant of a spring depend on its length?    (1) 
 
6. Is the Young’s modulus of rubber greater than that of steel?               (1) 
 
7. State the SI unit of angular velocity.       (1) 
 
8. Explain why a cricketer moves his hands back while holding a catch.  (1) 
 
Page 2


  
 
CBSE  | Physics  
Sample Paper 4  
 
     
CBSE Board 
Class XI Physics 
Sample Paper-4 
Time: - 3         Marks: - 70 Marks 
 
General Instructions 
(a) All questions are compulsory. 
(b) There are 29 questions in total. Questions 1 to 8 carry one mark each, questions 9 to 
16 carry two marks each, questions 17 to 25 carry three marks each and questions 
27 to 29 carry five marks each. 
(c) Question 26 is a value based question carrying four marks. 
(d) There is no overall choice. However, an internal choice has been provided in one 
question of two marks, one question of three marks and all three questions of five 
marks each. You have to attempt only one of the given choices in such questions. 
(e) Use of calculator is not permitted. 
(f) You may use the following physical constants wherever necessary. 
19
81
34
72
23 1
23
27
1.6 10
3 10
6.6 10
4 10
1.38 10
6.023 10 /
1.6 10
o
B
A
n
N
eC
c ms
h JS
A
k JK
N mole
m kg
??
?
?
?
??
?
?
??
??
??
??
??
??
??
  
 
1. Give the number of significant figures in
3
5.300 10 ? .     (1) 
 
2. The dimension 
12
ML T
??
 corresponds to which quantity?    (1) 
 
3. Why do we use a wrench of long arm to unscrew a nut tightly fitted to a bolt?  (1) 
 
4. Can kinetic energy be negative? What about potential energy?   (1) 
 
5. Does the spring constant of a spring depend on its length?    (1) 
 
6. Is the Young’s modulus of rubber greater than that of steel?               (1) 
 
7. State the SI unit of angular velocity.       (1) 
 
8. Explain why a cricketer moves his hands back while holding a catch.  (1) 
 
  
 
CBSE  | Physics  
Sample Paper 4  
 
     
9. Find the angle of projection for which horizontal range and maximum height are equal.  
            (2) 
OR 
Is acceleration vector in uniform circular motion a constant vector?  (2) 
 
10. Differentiate between wave velocity and particle velocity for a mechanical wave in the 
medium.                                      (2) 
 
11. A light body and a heavy body have same momentum. Which one has greater kinetic 
energy? Support your answer with an explanation     (2) 
 
12. State the law of equipartition of energy.      (2) 
 
13. What is an adiabatic process? How is it different from an isothermal process?  (2) 
 
14. A ball of mass 5 kg strikes against a wall at an angle of 45
o 
and is reflected at the same 
angle. Find the change in momentum.        (2) 
 
15. Check the dimensional consistency of the following equation 
2
1
2
mv mgh ? where m is 
the mass of the body, v is its velocity, g is acceleration due to gravity and h is the height. 
            (2) 
16. The position of a particle is given by ? ?
2
ˆ ˆˆ
5 6 10 S t ti t j k ? ? ?  where t is in seconds. Find 
the velocity ? ? vt and acceleration ? ? at of the particle at t = 1s.   (2) 
 
17. The kinetic energy of a satellite is E.  Find the total energy of the satellite.   (3) 
 
18. Explain why 
(i) a body with large reflectivity is a poor emitter 
(ii) heating systems based on circulation of steam are more efficient in warming a 
building than those based on circulation of hot water.    (3) 
 
19. What is a Carnot’s engine? What is its efficiency?     (3) 
OR 
Two masses m 1 and m 2 are connected at the ends of a light inextensible string that 
passes over frictionless pulley. Find the acceleration, tension in the string and thrust on 
the pulley when the masses are released.       (3) 
 
20. A cylinder of fixed capacity 44.8 litres contains helium gas at standard temperature and 
pressure. What is the amount of heat needed to raise the temperature of the gas in the 
cylinder by 15.0 
0
C? Given R = 8.32J/mol/K.        (3) 
 
Page 3


  
 
CBSE  | Physics  
Sample Paper 4  
 
     
CBSE Board 
Class XI Physics 
Sample Paper-4 
Time: - 3         Marks: - 70 Marks 
 
General Instructions 
(a) All questions are compulsory. 
(b) There are 29 questions in total. Questions 1 to 8 carry one mark each, questions 9 to 
16 carry two marks each, questions 17 to 25 carry three marks each and questions 
27 to 29 carry five marks each. 
(c) Question 26 is a value based question carrying four marks. 
(d) There is no overall choice. However, an internal choice has been provided in one 
question of two marks, one question of three marks and all three questions of five 
marks each. You have to attempt only one of the given choices in such questions. 
(e) Use of calculator is not permitted. 
(f) You may use the following physical constants wherever necessary. 
19
81
34
72
23 1
23
27
1.6 10
3 10
6.6 10
4 10
1.38 10
6.023 10 /
1.6 10
o
B
A
n
N
eC
c ms
h JS
A
k JK
N mole
m kg
??
?
?
?
??
?
?
??
??
??
??
??
??
??
  
 
1. Give the number of significant figures in
3
5.300 10 ? .     (1) 
 
2. The dimension 
12
ML T
??
 corresponds to which quantity?    (1) 
 
3. Why do we use a wrench of long arm to unscrew a nut tightly fitted to a bolt?  (1) 
 
4. Can kinetic energy be negative? What about potential energy?   (1) 
 
5. Does the spring constant of a spring depend on its length?    (1) 
 
6. Is the Young’s modulus of rubber greater than that of steel?               (1) 
 
7. State the SI unit of angular velocity.       (1) 
 
8. Explain why a cricketer moves his hands back while holding a catch.  (1) 
 
  
 
CBSE  | Physics  
Sample Paper 4  
 
     
9. Find the angle of projection for which horizontal range and maximum height are equal.  
            (2) 
OR 
Is acceleration vector in uniform circular motion a constant vector?  (2) 
 
10. Differentiate between wave velocity and particle velocity for a mechanical wave in the 
medium.                                      (2) 
 
11. A light body and a heavy body have same momentum. Which one has greater kinetic 
energy? Support your answer with an explanation     (2) 
 
12. State the law of equipartition of energy.      (2) 
 
13. What is an adiabatic process? How is it different from an isothermal process?  (2) 
 
14. A ball of mass 5 kg strikes against a wall at an angle of 45
o 
and is reflected at the same 
angle. Find the change in momentum.        (2) 
 
15. Check the dimensional consistency of the following equation 
2
1
2
mv mgh ? where m is 
the mass of the body, v is its velocity, g is acceleration due to gravity and h is the height. 
            (2) 
16. The position of a particle is given by ? ?
2
ˆ ˆˆ
5 6 10 S t ti t j k ? ? ?  where t is in seconds. Find 
the velocity ? ? vt and acceleration ? ? at of the particle at t = 1s.   (2) 
 
17. The kinetic energy of a satellite is E.  Find the total energy of the satellite.   (3) 
 
18. Explain why 
(i) a body with large reflectivity is a poor emitter 
(ii) heating systems based on circulation of steam are more efficient in warming a 
building than those based on circulation of hot water.    (3) 
 
19. What is a Carnot’s engine? What is its efficiency?     (3) 
OR 
Two masses m 1 and m 2 are connected at the ends of a light inextensible string that 
passes over frictionless pulley. Find the acceleration, tension in the string and thrust on 
the pulley when the masses are released.       (3) 
 
20. A cylinder of fixed capacity 44.8 litres contains helium gas at standard temperature and 
pressure. What is the amount of heat needed to raise the temperature of the gas in the 
cylinder by 15.0 
0
C? Given R = 8.32J/mol/K.        (3) 
 
  
 
CBSE  | Physics  
Sample Paper 4  
 
     
21. A particle executes SHM according to the equation cos . ? x A t ? Draw graphs to 
represent the displacement, velocity and acceleration of the particle.   (3) 
 
22. A sound wave travelling along a string is described by ? ?
3
5 10 sin 80 3 . y x t
?
? ? ? 
Calculate 
(i) the amplitude 
(ii) the wavelength 
(iii) frequency of the wave.        (3) 
 
23. What is a conservative force? Prove that gravitational force is conservative and 
frictional force is non-conservative       (3) 
 
24. The bob A of a pendulum released from 30° to the vertical hits another bob B of the 
same mass at rest on a table as shown in Fig. 6.15. How high does the bob A rise after 
the collision? Neglect the size of the bobs and assume the collision to be elastic.  (3) 
 
25. A 400kg satellite is in a circular orbit of radius 2RE about the earth. How much energy 
is required to transfer it to an orbit of radius 4 RE? What are the changes in its kinetic 
and potential energies?          (3) 
 
26. Vineet saw his uncle planting seeds in the field. His uncle does not know methods of 
growing plants. Then he decided to make his uncle aware of this. He explained the 
importance of ploughing the land before planting the seeds. Uncle is convinced with his 
ideas. He planted accordingly. The plants grew successfully. 
(a) What can you say about Vineet? 
(b) What is the utility of ploughing a field?      (4) 
 
27. Draw the first three harmonics in an open organ pipe. Two piano strings A and B are 
playing slightly out of tune and produce beats of frequency 5Hz. The tension in string B 
is slightly increased and the beat frequency is found to decrease to 3Hz. What is the 
original frequency of B if the frequency of A is 500Hz?     (5) 
OR 
Two identical springs each of force constant K are connected in (a) series (b) parallel, so 
that they support a mass m. Find the ratio of the time periods of the mass in the two 
systems.            (5) 
 
 
 
 
 
 
 
Page 4


  
 
CBSE  | Physics  
Sample Paper 4  
 
     
CBSE Board 
Class XI Physics 
Sample Paper-4 
Time: - 3         Marks: - 70 Marks 
 
General Instructions 
(a) All questions are compulsory. 
(b) There are 29 questions in total. Questions 1 to 8 carry one mark each, questions 9 to 
16 carry two marks each, questions 17 to 25 carry three marks each and questions 
27 to 29 carry five marks each. 
(c) Question 26 is a value based question carrying four marks. 
(d) There is no overall choice. However, an internal choice has been provided in one 
question of two marks, one question of three marks and all three questions of five 
marks each. You have to attempt only one of the given choices in such questions. 
(e) Use of calculator is not permitted. 
(f) You may use the following physical constants wherever necessary. 
19
81
34
72
23 1
23
27
1.6 10
3 10
6.6 10
4 10
1.38 10
6.023 10 /
1.6 10
o
B
A
n
N
eC
c ms
h JS
A
k JK
N mole
m kg
??
?
?
?
??
?
?
??
??
??
??
??
??
??
  
 
1. Give the number of significant figures in
3
5.300 10 ? .     (1) 
 
2. The dimension 
12
ML T
??
 corresponds to which quantity?    (1) 
 
3. Why do we use a wrench of long arm to unscrew a nut tightly fitted to a bolt?  (1) 
 
4. Can kinetic energy be negative? What about potential energy?   (1) 
 
5. Does the spring constant of a spring depend on its length?    (1) 
 
6. Is the Young’s modulus of rubber greater than that of steel?               (1) 
 
7. State the SI unit of angular velocity.       (1) 
 
8. Explain why a cricketer moves his hands back while holding a catch.  (1) 
 
  
 
CBSE  | Physics  
Sample Paper 4  
 
     
9. Find the angle of projection for which horizontal range and maximum height are equal.  
            (2) 
OR 
Is acceleration vector in uniform circular motion a constant vector?  (2) 
 
10. Differentiate between wave velocity and particle velocity for a mechanical wave in the 
medium.                                      (2) 
 
11. A light body and a heavy body have same momentum. Which one has greater kinetic 
energy? Support your answer with an explanation     (2) 
 
12. State the law of equipartition of energy.      (2) 
 
13. What is an adiabatic process? How is it different from an isothermal process?  (2) 
 
14. A ball of mass 5 kg strikes against a wall at an angle of 45
o 
and is reflected at the same 
angle. Find the change in momentum.        (2) 
 
15. Check the dimensional consistency of the following equation 
2
1
2
mv mgh ? where m is 
the mass of the body, v is its velocity, g is acceleration due to gravity and h is the height. 
            (2) 
16. The position of a particle is given by ? ?
2
ˆ ˆˆ
5 6 10 S t ti t j k ? ? ?  where t is in seconds. Find 
the velocity ? ? vt and acceleration ? ? at of the particle at t = 1s.   (2) 
 
17. The kinetic energy of a satellite is E.  Find the total energy of the satellite.   (3) 
 
18. Explain why 
(i) a body with large reflectivity is a poor emitter 
(ii) heating systems based on circulation of steam are more efficient in warming a 
building than those based on circulation of hot water.    (3) 
 
19. What is a Carnot’s engine? What is its efficiency?     (3) 
OR 
Two masses m 1 and m 2 are connected at the ends of a light inextensible string that 
passes over frictionless pulley. Find the acceleration, tension in the string and thrust on 
the pulley when the masses are released.       (3) 
 
20. A cylinder of fixed capacity 44.8 litres contains helium gas at standard temperature and 
pressure. What is the amount of heat needed to raise the temperature of the gas in the 
cylinder by 15.0 
0
C? Given R = 8.32J/mol/K.        (3) 
 
  
 
CBSE  | Physics  
Sample Paper 4  
 
     
21. A particle executes SHM according to the equation cos . ? x A t ? Draw graphs to 
represent the displacement, velocity and acceleration of the particle.   (3) 
 
22. A sound wave travelling along a string is described by ? ?
3
5 10 sin 80 3 . y x t
?
? ? ? 
Calculate 
(i) the amplitude 
(ii) the wavelength 
(iii) frequency of the wave.        (3) 
 
23. What is a conservative force? Prove that gravitational force is conservative and 
frictional force is non-conservative       (3) 
 
24. The bob A of a pendulum released from 30° to the vertical hits another bob B of the 
same mass at rest on a table as shown in Fig. 6.15. How high does the bob A rise after 
the collision? Neglect the size of the bobs and assume the collision to be elastic.  (3) 
 
25. A 400kg satellite is in a circular orbit of radius 2RE about the earth. How much energy 
is required to transfer it to an orbit of radius 4 RE? What are the changes in its kinetic 
and potential energies?          (3) 
 
26. Vineet saw his uncle planting seeds in the field. His uncle does not know methods of 
growing plants. Then he decided to make his uncle aware of this. He explained the 
importance of ploughing the land before planting the seeds. Uncle is convinced with his 
ideas. He planted accordingly. The plants grew successfully. 
(a) What can you say about Vineet? 
(b) What is the utility of ploughing a field?      (4) 
 
27. Draw the first three harmonics in an open organ pipe. Two piano strings A and B are 
playing slightly out of tune and produce beats of frequency 5Hz. The tension in string B 
is slightly increased and the beat frequency is found to decrease to 3Hz. What is the 
original frequency of B if the frequency of A is 500Hz?     (5) 
OR 
Two identical springs each of force constant K are connected in (a) series (b) parallel, so 
that they support a mass m. Find the ratio of the time periods of the mass in the two 
systems.            (5) 
 
 
 
 
 
 
 
  
 
CBSE  | Physics  
Sample Paper 4  
 
     
28. Two bodies A and B of masses 5 kg and 10 kg in contact with each other rest on a table 
against a rigid wall as shown in the given figure. The coefficient of friction between the 
bodies and the table is 0.15. A force of 200 N is applied horizontally to A. What are (a) 
the reaction of the partition (b) the action-reaction forces between A and B? (c) What 
happens when the wall is removed?       (5) 
 
OR 
Give any three differences between progressive waves and stationary waves. A 
stationary wave is y = 12 sin 300 t cos 2x. What is the distance between two nearest 
nodes?  (5) 
 
29. What is a projectile? Write the expressions for the time of flight, and maximum height 
for the projectile thrown upwards at an angle ? with the horizontal direction.  
The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a 
ball thrown with a speed of 40 m s
–1
 can go without hitting the ceiling of the hall? (5) 
OR 
What do you mean by the centripetal force? Derive an expression for it.   (5) 
Page 5


  
 
CBSE  | Physics  
Sample Paper 4  
 
     
CBSE Board 
Class XI Physics 
Sample Paper-4 
Time: - 3         Marks: - 70 Marks 
 
General Instructions 
(a) All questions are compulsory. 
(b) There are 29 questions in total. Questions 1 to 8 carry one mark each, questions 9 to 
16 carry two marks each, questions 17 to 25 carry three marks each and questions 
27 to 29 carry five marks each. 
(c) Question 26 is a value based question carrying four marks. 
(d) There is no overall choice. However, an internal choice has been provided in one 
question of two marks, one question of three marks and all three questions of five 
marks each. You have to attempt only one of the given choices in such questions. 
(e) Use of calculator is not permitted. 
(f) You may use the following physical constants wherever necessary. 
19
81
34
72
23 1
23
27
1.6 10
3 10
6.6 10
4 10
1.38 10
6.023 10 /
1.6 10
o
B
A
n
N
eC
c ms
h JS
A
k JK
N mole
m kg
??
?
?
?
??
?
?
??
??
??
??
??
??
??
  
 
1. Give the number of significant figures in
3
5.300 10 ? .     (1) 
 
2. The dimension 
12
ML T
??
 corresponds to which quantity?    (1) 
 
3. Why do we use a wrench of long arm to unscrew a nut tightly fitted to a bolt?  (1) 
 
4. Can kinetic energy be negative? What about potential energy?   (1) 
 
5. Does the spring constant of a spring depend on its length?    (1) 
 
6. Is the Young’s modulus of rubber greater than that of steel?               (1) 
 
7. State the SI unit of angular velocity.       (1) 
 
8. Explain why a cricketer moves his hands back while holding a catch.  (1) 
 
  
 
CBSE  | Physics  
Sample Paper 4  
 
     
9. Find the angle of projection for which horizontal range and maximum height are equal.  
            (2) 
OR 
Is acceleration vector in uniform circular motion a constant vector?  (2) 
 
10. Differentiate between wave velocity and particle velocity for a mechanical wave in the 
medium.                                      (2) 
 
11. A light body and a heavy body have same momentum. Which one has greater kinetic 
energy? Support your answer with an explanation     (2) 
 
12. State the law of equipartition of energy.      (2) 
 
13. What is an adiabatic process? How is it different from an isothermal process?  (2) 
 
14. A ball of mass 5 kg strikes against a wall at an angle of 45
o 
and is reflected at the same 
angle. Find the change in momentum.        (2) 
 
15. Check the dimensional consistency of the following equation 
2
1
2
mv mgh ? where m is 
the mass of the body, v is its velocity, g is acceleration due to gravity and h is the height. 
            (2) 
16. The position of a particle is given by ? ?
2
ˆ ˆˆ
5 6 10 S t ti t j k ? ? ?  where t is in seconds. Find 
the velocity ? ? vt and acceleration ? ? at of the particle at t = 1s.   (2) 
 
17. The kinetic energy of a satellite is E.  Find the total energy of the satellite.   (3) 
 
18. Explain why 
(i) a body with large reflectivity is a poor emitter 
(ii) heating systems based on circulation of steam are more efficient in warming a 
building than those based on circulation of hot water.    (3) 
 
19. What is a Carnot’s engine? What is its efficiency?     (3) 
OR 
Two masses m 1 and m 2 are connected at the ends of a light inextensible string that 
passes over frictionless pulley. Find the acceleration, tension in the string and thrust on 
the pulley when the masses are released.       (3) 
 
20. A cylinder of fixed capacity 44.8 litres contains helium gas at standard temperature and 
pressure. What is the amount of heat needed to raise the temperature of the gas in the 
cylinder by 15.0 
0
C? Given R = 8.32J/mol/K.        (3) 
 
  
 
CBSE  | Physics  
Sample Paper 4  
 
     
21. A particle executes SHM according to the equation cos . ? x A t ? Draw graphs to 
represent the displacement, velocity and acceleration of the particle.   (3) 
 
22. A sound wave travelling along a string is described by ? ?
3
5 10 sin 80 3 . y x t
?
? ? ? 
Calculate 
(i) the amplitude 
(ii) the wavelength 
(iii) frequency of the wave.        (3) 
 
23. What is a conservative force? Prove that gravitational force is conservative and 
frictional force is non-conservative       (3) 
 
24. The bob A of a pendulum released from 30° to the vertical hits another bob B of the 
same mass at rest on a table as shown in Fig. 6.15. How high does the bob A rise after 
the collision? Neglect the size of the bobs and assume the collision to be elastic.  (3) 
 
25. A 400kg satellite is in a circular orbit of radius 2RE about the earth. How much energy 
is required to transfer it to an orbit of radius 4 RE? What are the changes in its kinetic 
and potential energies?          (3) 
 
26. Vineet saw his uncle planting seeds in the field. His uncle does not know methods of 
growing plants. Then he decided to make his uncle aware of this. He explained the 
importance of ploughing the land before planting the seeds. Uncle is convinced with his 
ideas. He planted accordingly. The plants grew successfully. 
(a) What can you say about Vineet? 
(b) What is the utility of ploughing a field?      (4) 
 
27. Draw the first three harmonics in an open organ pipe. Two piano strings A and B are 
playing slightly out of tune and produce beats of frequency 5Hz. The tension in string B 
is slightly increased and the beat frequency is found to decrease to 3Hz. What is the 
original frequency of B if the frequency of A is 500Hz?     (5) 
OR 
Two identical springs each of force constant K are connected in (a) series (b) parallel, so 
that they support a mass m. Find the ratio of the time periods of the mass in the two 
systems.            (5) 
 
 
 
 
 
 
 
  
 
CBSE  | Physics  
Sample Paper 4  
 
     
28. Two bodies A and B of masses 5 kg and 10 kg in contact with each other rest on a table 
against a rigid wall as shown in the given figure. The coefficient of friction between the 
bodies and the table is 0.15. A force of 200 N is applied horizontally to A. What are (a) 
the reaction of the partition (b) the action-reaction forces between A and B? (c) What 
happens when the wall is removed?       (5) 
 
OR 
Give any three differences between progressive waves and stationary waves. A 
stationary wave is y = 12 sin 300 t cos 2x. What is the distance between two nearest 
nodes?  (5) 
 
29. What is a projectile? Write the expressions for the time of flight, and maximum height 
for the projectile thrown upwards at an angle ? with the horizontal direction.  
The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a 
ball thrown with a speed of 40 m s
–1
 can go without hitting the ceiling of the hall? (5) 
OR 
What do you mean by the centripetal force? Derive an expression for it.   (5) 
  
 
CBSE  | Physics  
Sample Paper 4 Solution 
 
     
CBSE Board 
Class XI Physics 
Sample Paper-4 Solution 
 
 
1. 
4         
 
2.  
Pressure or energy per unit volume 
 
3.  
Greater torque will be applied if force arm is more as sin rF ?? ? .  
 
4.  
Kinetic energy is always positive, potential energy can be negative. 
 
5.  
Yes, it is not an intrinsic property of the spring. It not only depends on the material in the 
spring but also the length and shape of the spring. 
 
6.  
The statement is false. This is because when steel and rubber of same length and cross-
sectional area are subjected to same load, then the extension produced in steel is much less 
than that of rubber. So the ratio of stress to strain or Young’s modulus for steel is much 
greater than that of rubber.  
 
7.  
rad/s.