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NEETPhysicsCenter of Mass, Momentum and Collision

Assertion (A): In an elastic collision of two bodies, the momentum and energy of each body is conserved. Reason (R): If two bodies stick to each other, after colliding, the collision is said to be perfectly inelastic.

Options

  1. AAssertion (A) is True, Reason (R) is True; Reason (R) is a correct explanation for Assertion (A)
  2. BAssertion (A) is True, Reason (R) is True; Reason (R) is not a correct explanation for Assertion (A)
  3. CAssertion (A) is True, Reason (R) is False.
  4. DAssertion (A) is False, Reason (R) is True.

Correct answer

B. Assertion (A) is True, Reason (R) is True; Reason (R) is not a correct explanation for Assertion (A)

Step-by-step solution

- Assertion (A) is False. - In an elastic collision, the total momentum of the system and the total kinetic energy of the system are conserved. Momentum and kinetic energy are not, in general, conserved for each body individually; they can exchange between bodies. So the phrase "of each body" makes A false. - Reason (R) is True. - When two bodies stick together after collision, the collision is perfectly inelastic by definition. Therefore, the correct option is (4): Assertion (A) is False, Reason (R) is True.

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