Question

If the momentum of a body is increased by n times, then its kinetic energy increases

• A. $n$ times
• B. $n^2$ times
• C. $2n$ times
• D. $\sqrt{n}$ times

Answer 1

Answer: (B)

We know that, $KE=\frac{p^2}{2m}$
i.e., $KE\propto p^2$
If $p$ is increased $n$ times, then $KE$ will increased by $n^2$ times.