Q. A small sphere of mass $m$, moving with a constant velocity $v,$ hits another stationary sphere of same mass. If $e$ be the coefficient of restitution, then ratio of velocities $v_{1}$ and $v_{2}$ of two spheres after collision will be

A) $\frac{1 - e}{1 + e}$
B) $\frac{1 + e}{1 - e}$
C) $\frac{e + 1}{e - 1}$
D) $\frac{e - 1}{e + 1}$
Explanation

(a) As in Q.6 $\longrightarrow v_{1} = \frac{v}{2}(1 - e)$
Similarly it is found that $v_{2} = \frac{v}{2}(1 + e)$
Hence, $\frac{v_{1}}{v_{2}} = \frac{(1 - e)}{(1 + e)}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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