Question

The ratio of volume occupied by an atom to the volume of the nucleus is

• A. ${10}^5:1$
• B. ${10}^{20}:1$
• C. ${10}^{15}:1$
• D. $1:{10}^{15}$

Answer 1

The correct option is C ${10}^{15}:1$

As we knows, radius of an atom,
${\gamma }_A\approx {10}^{-10}m$
radius of nucleus, ${\gamma }_B\approx {10}^{-15}m$
So, ratio of their volumes
$\frac{V_A}{V_N}=\frac{\frac{4}{3}\pi r_A^3}{\frac{4}{3}\pi r_N^3}={\left(\frac{r_A}{I_N}\right)}^3={\left(\frac{{10}^{-10}}{{10}^{-15}}\right)}^3$