A nucleus at rest splits into two nuclear parts having radii in the ratio 1 : 2. Their velocities are in the ratio

Options

A. `2: 1`
B. `4: 1`
C. `6: 1`
D. `8 : 1`

Answer

D

Explanation

`m_(1)V_(1)= m_(2)V_(2)`
`A_(1)V_(1)= A_(2)V_(2)`
`m alpha A`
`(V_(1))/(V_(2))= (A_(2))/(A_(1)) rArr (V_(1))/(V_(2))= ((R_(2))/(R_(1)))^(3)= ((2)/(1))^(3) = (8)/(1) (R_(1))/(R_(2)) = ((A_(1))/(A_(2)))^((1)/(3)) rArr ((R_(1))/(R_(2)))^(3)= (A_(1))/(A_(2))`