A nucleus ruptures into two nuclear parts, which have their velocity ratio equal to `2 : 1`. What will be the ratio of their nuclear size (nuclear radius)?

Options

A. `2 ^(1//3) :1`
B. `1 : 2 ^( 1//3)`
C. `3 ^( 1//3 ) :1 `
D. `1 : 3 ^( 1//3)`

Answer

B

Explanation

`m _(1) 2 v = m _(2) v `
` ( m _(1))/( m _(2)) = (1)/(2)`
`(( 4)/(3) pi r _(1) ^(3) rho )/( (4)/(3) pi r _(2) ^(3) rho ) = (1)/(2)`
`(r _(1))/(r _(2)) = ( 1)/( 2 ^( 1//3))`