Two bodies of different masses `m_(1)` and `m_(2)` have equal momenta. Their kinetic energies `E_(1)` and `E_(2)` are in the ratio

Options

A. `sqrtm_(1):sqrtm_(2)`
B. `m_(1):m_(2)`
C. `m_(2):m_(1)`
D. `m_(1)^(2):m_(2)^(2)`

Answer

C

Explanation

`E=(P^(2))/(2m)` if bodies possess equal linear momenta then
`E prop (1)/(m)` i.e. `(E_(1))/(E_(2))=(m_(2))/(m_(1))`