A heavy nucleus (mass number = A) splits into two new nuclei, whose mass numbers are in the ratio 3:2 . The ratio of radii of these new nuclei is

Options

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

Answer

C

Explanation

`r_(1)/r_(2) = (r_(0) xx (A_(1))^(1//3))/(r_(0) xx (A_(2))^(1//3))=(A_(1)/A_(2))^(1//3)={((3/5 xx A))/((2/5 x A))}^(1/3)=3^(1//3)/(2^(1//3)`