A nucleus kept at rest in free space, brakes up into smaller nuclei of masses `'m'` and `'2m'`. Total energy generated in this fission is `E`. The bigger part is radioactive, emits five gamma ray photons in the direction opposite to its velocity and finally comes torest. `["Given" h=6.6xx10^(-34)Js,m=1xx10^(-26)Kg,E= 3.63xx10^(-8) mc^(2), C=3xx10^(8)m//s)`
Velocity of small daughter nucleus is

Options

A. `5.6 xx10^(4) m s^(-1)`
B. `6.6xx10^(4) m s^(-1)`
C. `7.6 xx 10^(4)m s^(-1)`
D. `8.6 xx 10^(4) m s^(-1)`

Answer

b

Explanation

Use conservation of energy and momentum.
Momentum of a photon= `h//lambda`