Two billiard balls A and B, each of mass 50g and moving in opposite directions with a speed of 5 m/s each, collide and rebound at the same speed. If the collision lasts for ${10}^{-3}$ s,

(a) The impulse imparted to each ball is 0.25 $kg-m{s}^{-1}$ and the force on each ball is 250 N

(b) The impulse imparted to each ball is 0.25 $kg-m{s}^{-1}$ and the force exerted on each ball is 25 x N

(c) The impulse imparted to each ball is 0.5 N-s

(d) The impulse and the force on each ball are equal in magnitude and opposite in direction.

Which of the following statement(s) is/are true?

1. (a, c)

2. (a, b)

3. (c, d)

4. (b, c)

Subtopic:  Collisions |
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Given below are two statements:
 Assertion (A): Two particles moving in the same direction do not lose all their energy in a completely inelastic collision. Reason (R): Principle of conservation of momentum holds true for all kinds of collisions.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 (A) is false but (R) is true.
Subtopic:  Collisions |
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Given below are two statements:
 Assertion (A): In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision. Reason (R): In an elastic collision, the linear momentum of the system is conserved

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

Subtopic:  Collisions |
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Select the correct option based on the statements given below:
 Assertion: When a ball collides elastically with a floor, it rebounds with the same velocity with which it struck the floor. Reason: Momentum of the (earth $$+$$ ball) system remains constant.

 1 Both the assertion and reason are true and reason explains the assertion. 2 Both the assertion and reason are true but reason does not explain the assertion. 3 Assertion is true but reason is false. 4 Assertion is false but reason is true.
Subtopic:  Collisions |
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Given below are two statements:
 Assertion (A): A quick collision between two bodies is more violent than a slow collision, even when the initial and final velocities are identical. Reason (R): The change in momentum is greater in the first case.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

Subtopic:  Collisions |
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Given below are two statements:
 Assertion (A): When a stationary bomb explodes into two pieces, their speeds are in the inverse ratio of their masses. Reason (R): The explosion does not violate the law of conservation of linear momentum.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.

Subtopic:  Collisions |
70%
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Given below are two statements:
 Assertion (A): In an elastic collision of two billiard balls, the total kinetic energy is conserved during the short time of collision of the balls (i.e. when they are in contact). Reason (R): Energy spent against friction does not follow the law of conservation of energy.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.
Subtopic:  Collisions |
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Given below are two statements:
 Assertion (A): In an elastic collision between two bodies, the energy of each body is conserved. Reason (R): The total energy of an isolated system is conserved.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 (A) is false but (R) is true.

Subtopic:  Collisions |
57%
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Given below are two statements:
 Assertion (A): For a closed isolated system during a collision, the linear momentum of each colliding body may change but the total linear momentum of the system cannot change, whether the collision is elastic or inelastic. Reason (R): Total mechanical energy is conserved, in the elastic collision.

 1 Both (A) and (R) are true and (R) is the correct explanation of (A). 2 Both (A) and (R) are true but (R) is not the correct explanation of (A). 3 (A) is true but (R) is false. 4 Both (A) and (R) are false.

Subtopic:  Collisions |
69%
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