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NEET2022PhysicsCenter of Mass, Momentum and CollisionActual

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R), Assertion (A): When a fire cracker (rocket) explodes in mid air, its fragments fly in such a way that they continue moving in the same path, which the fire cracker would have followed, had it not exploded Reason (R): Explosion of cracker (rocket) occurs due to internal forces only and no external force acts for t

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

D. (A) is not correct but (R) is correct

Step-by-step solution

As per Newton's II law for a system ( F _ external = d P d t =m d v oam d t ) As explosion occurs due to internal forces only, the velocity of centre of mass would remain unchanged. This means that the centre of mass would continue to travel along same path as it was moving before explosion. The fragments can however move individually along various directions. Thus (A) is not correct and (R) is correct.

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