Two nuclei have mass numbers in the ratio 27 : 125. What is the ratio of their nuclear radii ?

Options

A. `5/3`
B. `2/3`
C. `3/5`
D. `27/125`

Answer

C

Explanation

The nuclear radius `R = R_0 A^(1//3) " or " R prop A^(1//3)`
`therefore R_1/R_2 = (A_1/A_2)^(1//3) = (27/125)^(1//3) = 3/5`