The volume of an atom is 10^5 times the volum | vedclass

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(C) The radius of an atom is of the order of $10^{-10} \ m$ and the radius of a nucleus is of the order of $10^{-15} \ m$. The ratio of the radius of

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$10^{15}$

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(C) The radius of an atom is of the order of $10^{-10} \ m$ and the radius of a nucleus is of the order of $10^{-15} \ m$. The ratio of the radius of an atom to the radius of the nucleus is $\frac{10^{-10}}{10^{-15}} = 10^5$. The volume of a sphere is given by $V = \frac{4}{3} \pi r^3$. The ratio of the volume of an atom to the volume of the nucleus is $(\frac{r_{atom}}{r_{nucleus}})^3 = (10^5)^3 = 10^{15}$. Thus,the volume of an atom is $10^{15}$ times the volume of the nucleus.

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