Radius of the nucleus is equal to 10^{-12} c | vedclass

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(B) The volume of a sphere is given by the formula $V = \frac{4}{3} \pi r^{3}$.Given,radius of the nucleus $r_{N} = 10^{-12} \ cm$ and radius of the a

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$10^{-12}$

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(B) The volume of a sphere is given by the formula $V = \frac{4}{3} \pi r^{3}$.Given,radius of the nucleus $r_{N} = 10^{-12} \ cm$ and radius of the atom $r_{A} = 10^{-8} \ cm$.Volume of the nucleus $V_{N} = \frac{4}{3} \pi (10^{-12})^{3} = \frac{4}{3} \pi 	imes 10^{-36} \ cm^{3}$.Volume of the atom $V_{A} = \frac{4}{3} \pi (10^{-8})^{3} = \frac{4}{3} \pi 	imes 10^{-24} \ cm^{3}$.The fraction of the volume of the atom occupied by the nucleus is $\frac{V_{N}}{V_{A}} = \frac{\frac{4}{3} \pi 	imes 10^{-36}}{\frac{4}{3} \pi 	imes 10^{-24}}$.$\frac{V_{N}}{V_{A}} = 10^{-36 - (-24)} = 10^{-12}$.

Radius of the nucleus is equal to $10^{-12} \ cm$ and that of the atom is equal to $10^{-8} \ cm$. What is the fraction of the volume of the atom occupied by the nucleus?

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