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 s,
(a) The impulse imparted to each ball is 0.25 and the force on each ball is 250 N
(b) The impulse imparted to each ball is 0.25 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)
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. |
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. |
Assertion: | When a ball collides elastically with a floor, it rebounds with the same velocity with which it struck the floor. |
Reason: | \(+\) ball) system remains constant. | Momentum of the (earth
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. |
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. |
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. |
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. |
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. |
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 an 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. |