Question

If the momentum of a body increases by 0.01%, its kinetic energy will increase by

• A. 0.01%
• B. 0.02%
• C. 0.04%
• D. 0.08%

Answer 1

The correct option is B

0.02%

Kinetic energy $E=\frac{P^2}{2m}\therefore E\propto P^2$
Percentage increase in kinetic energy = 2(% increase in momentum) [If change is very small]
= 2(0.01%) = 0.02%.