Question

The volume of nucleus is about:

• A. ${10}^{-4}$ times of an atom
• B. ${10}^{-15}$ times of an atom
• C. ${10}^{-5}$ times of an atom
• D. ${10}^{-10}$ times of an atom

Answer 1

The correct option is B ${10}^{-15}$ times of an atom

Radius of nucleus is in the range of ${10}^{-15}m$.

Radius of atom is in the range of ${10}^{-10}m$.

$\Rightarrow \frac{\text{Volume of nucleus}}{\text{Volume of atom}}=\frac{{\text{(Radius of nucleus)}}^3}{{\text{(Radius of atom)}}^3}=\frac{({10}^{-15}{)}^3}{({10}^{-10}{)}^3}=\frac{{10}^{-45}}{{10}^{-30}}$

$\Rightarrow \frac{\text{Volume of nucleus}}{\text{Volume of atom}}={10}^{-15}$

$\therefore$ Volume of nucleus= ${10}^{-15}$ times the volume of atom.