Physics - Modern Physics Question with Solution | TestHub

As we knows, radius of an atom, ${\gamma }_{\mathrm{A}}\approx 10^{-10}\mathrm{m}$ radius of nucleus, ${\gamma }_{\mathrm{B}}\approx 10^{-15}\mathrm{m}$ So, ratio of their volumes $\begin{array}{rl}& \frac{{\mathrm{V}}_{\mathrm{A}}}{{\mathrm{V}}_{\mathrm{N}}}=\frac{\frac{4}{3}\pi {\mathrm{r}}_{\mathrm{A}}^3}{\frac{4}{3}\pi {\mathrm{r}}_{\mathrm{N}}^3}={\left(\frac{{\mathrm{r}}_{\mathrm{A}}}{{\mathrm{I}}_{\mathrm{N}}}\right)}^3={\left(\frac{10^{-10}}{10^{-15}}\right)}^3\\ \therefore & {\mathrm{V}}_{\mathrm{A}}:{\mathrm{V}}_{\mathrm{N}}=10^{15}:1\end{array}$