A stationary partical explodes into two partical of a masses `m_(1) and m_(2)` which move in opposite direction with velocities `v_(1) and v_(2)`. The ratio of their kinetic energies `E_(1)//E_(2)` is

Options

A. `m_(1)//m_(2)`
B. 1
C. `m_(1)v_(2)//m_(2)v_(1)`
D. `m_(2)//m_(1)`

Answer

D

Explanation

`E=(P^(2))/(2m)rArr E prop (1)/(m)rArr (E_(1))/(E_(2))=(m_(2))/(m_(1))`