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Q. Atomic radius is of the order of $10^{-8} cm$ and nuclear radius is of the order of $10^{-13} cm .$ The fraction of atom occupied by nucleus is

Structure of Atom

Solution:

$\frac{V_{n}}{V_{a}}=\frac{\frac{4}{3} \pi\left(r_{n}\right)^{3}}{\frac{4}{3} \pi\left(r_{a}\right)^{3}}$

$=\frac{r_{n}^{3}}{r_{a}^{3}}=\frac{\left(10^{-13}\right)^{3}}{\left(10^{-8}\right)^{3}}=10^{-15}$