1. Two blocks of masses 5 kg are attached to the ends of a string passing over a smooth pulley fixed to the ceiling of an elevator. A man inside the elevator accelerated upwards, Finds the acceleration of the blocks to be g. The acceleration of the elevator is:
(a) (b) (c) (d)
2. The line of action of the resultant of two like parallel forces shifts by one-fourth of the distance between the forces when the two forces are interchanged. The ratio of the two forces is:
(a) 1 : 2 (b) 2 : 3 (c) 3 : 4 (d) 3 : 5
3. The rear side of a truck is open and a box of mass 20 kg is placed on the truck 4m away from the open end.
µ = 0.15 and g = 10m/s2. The truck starts from rest with an acceleration of 2m.s2 on a straight road. The box will fall off the truck when it is at a distance from the starting point equal to:
(a) 4 m (b) 8 m (c) 16 m (d) 32 m
4. A block of mass m is placed on a smooth wedge of inclination θ. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block has a magnitude:
(a) mg tan θ (b) mg sin θ (c) mg cos θ (d) mg sec θ
5. A mass of 3 kg descending vertically downward supports a mass of 2 kg by means of a light string passing over a pulley. At the end of 5 s the string breaks. How much high from now the 2 kg mass will go? (g = 9.8 m/s2)
(a) 4.9 m (b) 9.8 m (c) 16.9 m (d) 2.45 m
6. A block slides down an inclined plane of slope of angle θ with a constant velocity. It is then projected up the plane with an initial velocity u. The distance up to which it will rise before coming to rest is:
(a) (b) (c) (d)
7. A trolley car slides down a smooth inclined plane of angle of inclination θ. If a body is suspended from the roof of the trolley car by an inextensible string, the corresponding tension in the string will be
(a) mg (b) mg cos θ (b) mg sin θ (d) zero
Directions: These questions consists of two statements each printed as assertion and reason. While answering these question you are required to choose any one of the following five responses:
(A) If both assertion and reason are correct and reason is the correct explanation of assertion.
(B) If both assertion and reason are correct and reason is not the correct explanation of assertion.
(C) If assertion is true but reason is false.
(D) If assertion is false but reason is true.
(E) If both assertion and reason are false.
8. Assertion: Newton’s second law of motion gives the measurement of force.
Reason: According to Newton’s second law of motion, force is directly proportional to the rate of change of momentum.
(a) A (b) B (c) C (d) D (e) E
9. Assertion: Force is required to move a body uniformly along a circle.
Reason: When the motion is uniform, acceleration is zero.
(a) A (b) B (c) C (d) D (e) E
10. Assertion: Aeroplanes always fly at low altitudes.
Reason: According to Newton’s third law of motion, for every action there is an equal and opposite reaction.
(a) A (b) B (c) C (d) D (e) E
11. Assertion: The slope of momentum versus time curve give us the acceleration.
Reason: Acceleration is given by the rate of change of momentum.
(a) A (b) B (c) C (d) D (e) E
12. Assertion: A cyclist always bends inwards while negotiating ac curve.
Reason: By bending, cyclist lowers his centre of gravity.
(a) A (b) B (c) C (d) D (e) E
13. Assertion: A bullet is fired from a rifle. If the rifle recoils freely, the kinetic energy of rifle is more than that of the bullet.
Reason: In the case of rifle bullet system the law of conservation of momentum violates.
(a) A (b) B (c) C (d) D (e) E
14. Assertion: A rocket works on the principle of conservation of linear momentum.
Reason: Whenever there is a change in momentum of one body, the same change occurs in the momentum of the second body of the same system but in the opposite direction.
(a) A (b) B (c) C (d) D (e) E
15. Assertion: The apparent weight of a body in an elevator moving with some downward acceleration is less than the actual weight of body
Reason: The part of the weight is spent in producing downward acceleration, when body is in elevator.
(a) A (b) B (c) C (d) D (e) E
16. Match the following:
Table – 1 Table – 2
(A) Force of friction (P) opposes motion
(B) Normal reaction on a block (Q) opposes relative motion
kept on horizontal ground (R) is always mg
(S) may be equal to mg
(T) none
17. Velocity of three particles A, B and C varies with time t as, m/s m/s and . Regarding the pseudo force match the following table:
Table – 1 Table – 2
(A) On A as observed by B (P) along positive x-direction
(B) On B as observed by C (Q) along negative x-direction
(C) On A as observed by C (R) along positive y-direction
(D) On C as observed by A (S) along negative y-direction
(T) zero
18. If the unit of length, mass and time each be doubled, the unit of work is increased
(a) two times (b) four times
(c) six times (d) no charge
19 Volume of a cube having side of length 1.2 × 10 –2 m is
(a) 1.7 × 10 –6m3 (b) 1.73 × 10 –6 m3
(c) 1.728 × 10 –6 m3 (d) 1.72 × 10 –6 m3.
20 In the relation , P is pressure, Z is distance, k is Boltzmann constant and θ is the temperature, The dimensional formula of β will be
(a) [M0L2T0] (b) [M1L2T1]
(c) [M1L0T –1] (d) [M0L2T –1]
21. A car starting from rest accelerates at the rate f through a distance s, then continuous at constant speed for time t and then decelerates at rate to come to rest. If the total distance covered is 15 s, then
(a) (b)
(c) (d)
22 Two particles of masses m1 and m2 in projectile motion have velocitiesand respectively at time t = 0. They collide at time t0. Their velocities become and at time 2t0 while still moving in air. The value of
is
(a) zero (b) (m1 + m2) gt0
(c) 2(m1 + m2)gt0 (d) (m1 + m2)gt0
23 A small block slides without friction down an inclined plane starting from rest. Let Sn be the distance travelled from time t = n – 1 to t = n. Then is
(a) (b)
(c) (d)
(a) (b) (c) (d)
2. The line of action of the resultant of two like parallel forces shifts by one-fourth of the distance between the forces when the two forces are interchanged. The ratio of the two forces is:
(a) 1 : 2 (b) 2 : 3 (c) 3 : 4 (d) 3 : 5
3. The rear side of a truck is open and a box of mass 20 kg is placed on the truck 4m away from the open end.
µ = 0.15 and g = 10m/s2. The truck starts from rest with an acceleration of 2m.s2 on a straight road. The box will fall off the truck when it is at a distance from the starting point equal to:
(a) 4 m (b) 8 m (c) 16 m (d) 32 m
4. A block of mass m is placed on a smooth wedge of inclination θ. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block has a magnitude:
(a) mg tan θ (b) mg sin θ (c) mg cos θ (d) mg sec θ
5. A mass of 3 kg descending vertically downward supports a mass of 2 kg by means of a light string passing over a pulley. At the end of 5 s the string breaks. How much high from now the 2 kg mass will go? (g = 9.8 m/s2)
(a) 4.9 m (b) 9.8 m (c) 16.9 m (d) 2.45 m
6. A block slides down an inclined plane of slope of angle θ with a constant velocity. It is then projected up the plane with an initial velocity u. The distance up to which it will rise before coming to rest is:
(a) (b) (c) (d)
7. A trolley car slides down a smooth inclined plane of angle of inclination θ. If a body is suspended from the roof of the trolley car by an inextensible string, the corresponding tension in the string will be
(a) mg (b) mg cos θ (b) mg sin θ (d) zero
Directions: These questions consists of two statements each printed as assertion and reason. While answering these question you are required to choose any one of the following five responses:
(A) If both assertion and reason are correct and reason is the correct explanation of assertion.
(B) If both assertion and reason are correct and reason is not the correct explanation of assertion.
(C) If assertion is true but reason is false.
(D) If assertion is false but reason is true.
(E) If both assertion and reason are false.
8. Assertion: Newton’s second law of motion gives the measurement of force.
Reason: According to Newton’s second law of motion, force is directly proportional to the rate of change of momentum.
(a) A (b) B (c) C (d) D (e) E
9. Assertion: Force is required to move a body uniformly along a circle.
Reason: When the motion is uniform, acceleration is zero.
(a) A (b) B (c) C (d) D (e) E
10. Assertion: Aeroplanes always fly at low altitudes.
Reason: According to Newton’s third law of motion, for every action there is an equal and opposite reaction.
(a) A (b) B (c) C (d) D (e) E
11. Assertion: The slope of momentum versus time curve give us the acceleration.
Reason: Acceleration is given by the rate of change of momentum.
(a) A (b) B (c) C (d) D (e) E
12. Assertion: A cyclist always bends inwards while negotiating ac curve.
Reason: By bending, cyclist lowers his centre of gravity.
(a) A (b) B (c) C (d) D (e) E
13. Assertion: A bullet is fired from a rifle. If the rifle recoils freely, the kinetic energy of rifle is more than that of the bullet.
Reason: In the case of rifle bullet system the law of conservation of momentum violates.
(a) A (b) B (c) C (d) D (e) E
14. Assertion: A rocket works on the principle of conservation of linear momentum.
Reason: Whenever there is a change in momentum of one body, the same change occurs in the momentum of the second body of the same system but in the opposite direction.
(a) A (b) B (c) C (d) D (e) E
15. Assertion: The apparent weight of a body in an elevator moving with some downward acceleration is less than the actual weight of body
Reason: The part of the weight is spent in producing downward acceleration, when body is in elevator.
(a) A (b) B (c) C (d) D (e) E
16. Match the following:
Table – 1 Table – 2
(A) Force of friction (P) opposes motion
(B) Normal reaction on a block (Q) opposes relative motion
kept on horizontal ground (R) is always mg
(S) may be equal to mg
(T) none
17. Velocity of three particles A, B and C varies with time t as, m/s m/s and . Regarding the pseudo force match the following table:
Table – 1 Table – 2
(A) On A as observed by B (P) along positive x-direction
(B) On B as observed by C (Q) along negative x-direction
(C) On A as observed by C (R) along positive y-direction
(D) On C as observed by A (S) along negative y-direction
(T) zero
18. If the unit of length, mass and time each be doubled, the unit of work is increased
(a) two times (b) four times
(c) six times (d) no charge
19 Volume of a cube having side of length 1.2 × 10 –2 m is
(a) 1.7 × 10 –6m3 (b) 1.73 × 10 –6 m3
(c) 1.728 × 10 –6 m3 (d) 1.72 × 10 –6 m3.
20 In the relation , P is pressure, Z is distance, k is Boltzmann constant and θ is the temperature, The dimensional formula of β will be
(a) [M0L2T0] (b) [M1L2T1]
(c) [M1L0T –1] (d) [M0L2T –1]
21. A car starting from rest accelerates at the rate f through a distance s, then continuous at constant speed for time t and then decelerates at rate to come to rest. If the total distance covered is 15 s, then
(a) (b)
(c) (d)
22 Two particles of masses m1 and m2 in projectile motion have velocitiesand respectively at time t = 0. They collide at time t0. Their velocities become and at time 2t0 while still moving in air. The value of
is
(a) zero (b) (m1 + m2) gt0
(c) 2(m1 + m2)gt0 (d) (m1 + m2)gt0
23 A small block slides without friction down an inclined plane starting from rest. Let Sn be the distance travelled from time t = n – 1 to t = n. Then is
(a) (b)
(c) (d)
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