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)`
Fractional loss of mass in the fission is

Options

A. `1.21xx10^(-8)`
B. `2.56xx10^(-8)`
C. `1.73xx10^(-8)`
D. `3.52xx10^(-8)`

Answer

A

Explanation

`rArr (Delta m)/(m)=3.63xx10^(-8)`
Fraction loss `=(Delta m)/(m)=1.21xx10^(-8)`