A nucleus 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

`r_(1)/r_(2) = 1/2` SO `m_(1)/m_(2) = (4/3pir_(1)^(3))/(4/3)pir(2)^(3) rho/rho = r_(1)^(3)/r_(2)^(3) = 1/8`
`m_(1) = m_(0), m_(2) = 8m_(0)`
as `M xx 0 = m_(1) v_(1) + m_(2)v_(2)`
`m_(1)v_(1) = -m_(2)v_(2)`
`|v_(1)/v_(2)| = m_(2)/m_(1) = 8/1`