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

Options

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

Answer

B

Explanation

(b) given ,`(R_(1))/(R_(2))=(1)/(2)`
According to conservation of linear momentum , we have
` m_(1)v_(1) =m_(2)V_(2)`
` implies (v_(1))/(V_(2))(m_(2))/(m_(1) )=((R_(2))/(R_(1)))^(3) ( :' m prop Aprop R^(3))`
`i.e., (v_(1))/(v_(2)) =((2)/(1))^(3)=(8)/(1)`