Question

The ratio of the volume of atom to volume of nucleus is

• A. ${10}^5$
• B. $10$
• C. ${10}^{15}$
• D. ${10}^{16}$

Answer 1

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

$V\propto r^3$

$V_{atom}=\frac{r_{atom}^3}{r_{nucleus}^3}\propto V_{nucleus}$

But, $\frac{r_{nucleus}}{r_{atom}}={\left(\frac{1}{{10}^5}\right)}^3$

Hence, $V_{atom}={10}^{15}\times V_{nucleus}$