Two spherical nuclei have mass number 216 and 64 with their radii `R_(1) and R_(2)` respectively. The ratio, `(R_(1))/(R_(2))` is equal to

Options

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

Answer

A

Explanation

(a) Radius of nuclei having mass number A is determined as
`R=R_(0) A^(1//3) ` ( where `R_(0) ` = constant )
where , `R_(0) = 1.2 xx10^(-15)m`
this implies ,` (R_(1))/(R_(2))=((A_(1))/(A_(2)))^(1//3)=((216)/(64))^(1//3)=(6)/(4) `
`implies R_(1):R_(2) = 3:2`