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

Answer

C

Explanation

`P=sqrt(2mE)therefore P prop sqrt(m) " "` (if E = const.)`" " therefore (P_(1))/(P_(2))=sqrt((m_(1))/(m_(2)))`