A heavy nucleus at rest breaks into two fragments which fly off with velocities in the ratio 3: 1. The ratio of radii of the fragments is

Options

A. `1:3`
B. `3:4`
C. `4:1`
D. `2:1`

Answer

a

Explanation

According to Law of Conservation of momentum
mv-Constant
Vpv- Constant
`4/3piR^(3)pv`=Constant
`R^(3)alpha 1/v`
`[R1/R2]^(3)=v2/v1`
`R_1/R_2=[v2/v1]^(1//3)=[1/3]^(1//3)`
`R_(1):R_(2)=1:3^(1//3)`