Physics - Modern Physics Question with Solution | TestHub

The radius of an atom$=I_A\approx {10}^{-10} \mathrm{m}$

Radius of the nucleus$=I_N\approx {10}^{-15} \mathrm{m}$

So, the ratio of their volumes is

$\frac{V_A}{V_N}=\frac{\frac{4}{3}\pi r_A^3}{\frac{4}{3}\pi r_N^3}$

$={\left(\frac{I_A}{I_N}\right)}^3={\left(\frac{{10}^{-10}}{{10}^{-15}}\right)}^3$

$\Rightarrow V_A :V_N={10}^{15} :1$