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Question: The volume occupied by an atom is greater than the volume of the nucleus by a factor of about...

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

A

10110^{1}

B

10510^{5}

C

101010^{10}

D

101510^{15}

Answer

101510^{15}

Explanation

Solution

VolumeofatomVolumeofnucleus=43π(10−10)343π(10−15)3=1015\frac{Volumeofatom}{Volumeofnucleus} = \frac{\frac{4}{3}\pi(10^{- 10})^{3}}{\frac{4}{3}\pi(10^{- 15})^{3}} = 10^{15}