Q. Two bodies of masses $m$ and $2m$ have same momentum. Their respective kinetic energies $E_{1}$ and $E_{2}$ are in the ratio

A) $1\ :2$
B) $2\ :1$
C) $1\ :\ \sqrt{2}$
D) $1\ :4$
Explanation

(b) $E = \frac{P^{2}}{2m}$ If momentum are same then $E \propto \frac{1}{m}$
$\therefore\frac{E_{1}}{E_{2}} = \frac{m_{2}}{m_{1}} = \frac{2m}{m} = \frac{2}{1}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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