Question

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:

• A. ${10}^{-5}$
• B. ${10}^5$
• C. ${10}^{-15}$
• D. none of these

Answer 1

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

A nucleus is the positively charged center of the atom consisting of protons and neutrons. It's also known as the "atomic nucleus". Nearly all the mass of an atom is contained within the nucleus, since protons and neutrons have much more mass than electrons

according to qes.

Volume of nucleus = $\frac{4}{3}\pi r^3$ = $\frac{4}{3}\pi ({10}^{-3}{)}^{3}c{m}^3$

Volume of atom = $\frac{4}{3}\pi ({10}^{-8}{)}^{3}c{m}^3$

$\frac{V_N}{V_{atom}}$ $=$ $\frac{{10}^{-39}}{{10}^{-24}}$

$\frac{V_N}{V_{atom}}$ $=$ ${10}^{-15}$