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  4. The volume occupied by an atom is greater than the volume of the nucleus by factor of about

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Q. The volume occupied by an atom is greater than the volume of the nucleus by factor of about

BHUBHU 2007Atoms

Solution:

Radius of atom $\approx 10^{-10} m$
Radius of nucleus $\approx 10^{-15} m$
Required ratio $=\frac{\text { volume of atom }}{\text { volume of nucleus }}$
$=\frac{\frac{4}{3} \pi r_{1}^{3}}{\frac{4}{3} \pi r_{2}^{3}} $
$=\left(\frac{10^{-10}}{10^{-15}}\right)^{3} $
$=10^{15}$