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Q. No.

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

(a) the impulse imparted to each ball is \(0.25~\text{kg-ms}^{-1}\) and the force on each ball is \(250~\text N\)
(b) the impulse imparted to each ball is \(0.25~\text{kg-ms}^{-1}\) and the force exerted on each ball is \(25\times 10^{-5}~\text N\)
(c) the impulse imparted to each ball is \(0.5~\text{N-s}\)
(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) and (c) only
2. (a) and (b) only
3. (c) and (d) only
4. (b) and (c) only
Subtopic:  Collisions |
 69%
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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 |
 52%
From NCERT
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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 |
From NCERT
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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 |
 74%
From NCERT
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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 |
From NCERT
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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 |
 60%
From NCERT
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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 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.
Subtopic:  Collisions |
 66%
From NCERT
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Given below are two statements:
Statement I: In an elastic collision, the relative velocity of approach equals the relative velocity of separation.
Statement II: In an elastic collision, the kinetic energy before the collision is equal to the kinetic energy after the collision.
 
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
Subtopic:  Collisions |
 78%
From NCERT
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