Two particle of masses `m_1 and m_2` have equal kinetic energies . The ratio of their momenta is

Options

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

Answer

C

Explanation

`k_(1)=k_(2)rArrP_(1)^(2)/(2m_(1))=P_(2)^(2)/(2m_(2))`
`P_(1)^(2)/P_(2)^(2)=m_(1)/m_(2)rArrP_(1)/P_(2)=sqrt(m_(1)/m_(2))`