Q. A stationary particle explodes into two particle of masses $m_{1}$ and $m_{2}$ which move in opposite directions with velocities $v_{1}$ and $v_{2}$. The ratio of their kinetic energies $E_{1}/E_{2}$ is

A) $m_{1}/m_{2}$
B) 1
C) $m_{1}v_{2}/m_{2}v_{1}$
D) $m_{2}/m_{1}$
Explanation

(d) $E = \frac{P^{2}}{2m} \Rightarrow E \propto \frac{1}{m} \Rightarrow \frac{E_{1}}{E_{2}} = \frac{m_{2}}{m_{1}}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.