Question

Two bodies of masses $ m_{1} $ and $ m_{2} $ have equal momentum. Their kinetic energies $ E_{1} $ and $ E_{2} $ are in the ratio

• A. $ \sqrt{m_{1}:}\sqrt{m_{2}} $
• B. $ m_{1}:m_{2} $
• C. $ m_{2}:m_{1} $
• D. $ m_{1}^{2}:m_{2}^{2} $

Answer 1

Answer: (C)

Kinetic energy $E=\frac{P^{2}}{2 m}$
if bodies possess equal linear momenta,
then $E \propto \frac{1}{m}$
ie, $\frac{E_{1}}{E_{2}}=\frac{m_{2}}{m_{1}}$