Q. A ball of mass $m_{1}$ is a moving with velocity $v$. It collides head on elastically with a stationary ball of mass $m_{2}$. The velocity of ball becomes $v/3$ after collision. Then the value of the ratio $\frac{m_{2}}{m_{1}}$ is

A) 1
B) 2
C) 3
D) 4
Explanation

(b) $m_{1}v = \left( m_{1} + m_{2} \right)v/3$
$3m_{1}v = m_{1}v + m_{2}v$
$3m_{1}v - m_{1}v = m_{2}v$
$2m_{1}v = m_{2}v$
$\therefore\ \frac{m_{2}}{m_{1}} = 2$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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