The ratio of volume of nuclei (assumed ot be in spherical shape) with respective mass numbers 8 and 64 is

Options

A. `0.5`
B. 2
C. `0.125`
D. `0.25`

Answer

C

Explanation

Nucleus of mass number A has radius, `R=R_(0)A^(1//3)`
where, `R_(0)=1.2xx10^(-15)m`
`:.(R_(8))/(R_(64))=[(8)/(64)]^(1//3)=[(1)/(8)]^(1//3)` :.Ratio of volume `=(1)/(8)=0.125`