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

`0 = -m_(1) v_(1) + m_(2) v_(2) rArr m_(1) v_(1) = m_(2) v_(2) = p`
`(E_(1))/(E_(2)) = (p^(2)//2m_(1))/(p^(2)//2m_(2)) = (m_(2))/(m_(1))`