Two bodies of masses `m` and `4m` are moving with equal linear momenta. The ratio of their kinetic energies is `:`

Options

A. ` 4 : 1`
B. `sqrt 2 : 1`
C. `1 : 2`
D. `1 : 16`

Answer

A

Explanation

(a) `As (K_1)/(K_2) = (p^2//2m_1)/(p^2//2m_2) = (m_2)/(m_1) = (4)/(1), K_1 : K_2 = 4 : 1`