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NEETPhysicsCenter of Mass, Momentum and Collision

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): If a light body and a heavy body have the same linear momentum, the light body will cover a greater distance in a given time interval. Reason (R): For a given linear momentum, the velocity of a body is inversely proportional to its mass. In the light of the above statements, choose the most appropr

Options

  1. ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
  2. BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
  3. C(A) is correct but (R) is not correct
  4. D(A) is not correct but (R) is correct

Correct answer

A. Both (A) and (R) are correct and (R) is the correct explanation of (A)

Step-by-step solution

Linear momentum is given by p = mv , which implies v = p m . For a constant linear momentum p , the velocity v is inversely proportional to the mass m ( v 1 m ). Therefore, a light body (smaller mass) will have a greater velocity compared to a heavy body. This makes the Reason (R) correct. The distance covered in a given time interval t is d = vt . Since the light body has a greater velocity, it will cover a greater distance in the same time interval. This makes the Assertion (A) correct. The Reason (R) provides th

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