Question

A light and a heavy body have equal momenta. Which one has greater K.E

• A. The light body
• B. The heavy body
• C. The K.E is equal
• D. Data is incomplete

Answer 1

The correct option is A

The light body

Correct option is A: The light body

Explanation:

1. Formula for kinetic energy is $E=\frac{P^2}{2m}$.
2. As, both the bodies have equal momenta, then, $E\propto \frac{1}{m}$
3. kinetic energy is inversely proportional to the mass,
4. Then, a lighter body has more kinetic energy.

Hence, option (A) is correct.