Question

Assertion :When the momentum of a body is doubled, its kinetic energy increases by 300%. Reason: Kinetic energy = $\frac{p^2}{2m}$, where p is momentum of the body.

• A. If both assertion and reason are CORRECT and reason is the CORRECT explanation of the assertion.
• B. If both assertion and reason are CORRECT, but reason is NOT THE CORRECT explanation of the assertion.
• C. If assertion is CORRECT, but reason is INCORRECT.
• D. If assert:an is INCORRECT, but reason is CORRECT.

Answer 1

The correct option is A If both assertion and reason are CORRECT and reason is the CORRECT explanation of the assertion.

Kinetic energy, $K=\frac{p^2}{2m}$

When momentum $p$ is doubled, the kinetic energy becomes $K^{\prime }=\frac{(2p{)}^2}{2m}=4K$

This, increase in kinetic energy $\frac{K^{\prime }-K}{K}\times 100=\frac{4K-K}{K}\times 100=300\%$