The mass density of a nucleus varies with mas | vedclass

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(C) The radius of a nucleus is given by $R = R_0 A^{1/3}$,where $R_0$ is a constant.The volume of the nucleus is $V = \frac{4}{3} \pi R^3 = \frac{4}{3

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(C) The radius of a nucleus is given by $R = R_0 A^{1/3}$,where $R_0$ is a constant.The volume of the nucleus is $V = \frac{4}{3} \pi R^3 = \frac{4}{3} \pi (R_0 A^{1/3})^3 = \frac{4}{3} \pi R_0^3 A$.The mass of the nucleus is approximately $M = A 	imes m_p$,where $m_p$ is the mass of a nucleon.The mass density $ho$ is defined as $ho = \frac{M}{V} = \frac{A 	imes m_p}{\frac{4}{3} \pi R_0^3 A} = \frac{m_p}{\frac{4}{3} \pi R_0^3}$.Since $m_p$,$R_0$,and $\pi$ are constants,the mass density $ho$ is independent of the mass number $A$ and remains constant for all nuclei.

The mass density of a nucleus varies with mass number $A$ as

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