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(C) The radius of the atomic nucleus in terms of mass number $A$ is given by $R = R_0 A^{1/3}$.As the mass number $A$ increases, the mass of the nucle

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(C) The radius of the atomic nucleus in terms of mass number $A$ is given by $R = R_0 A^{1/3}$.As the mass number $A$ increases, the mass of the nucleus $(M \approx A \cdot m_p)$ and the volume of the nucleus $(V = \frac{4}{3} \pi R^3 = \frac{4}{3} \pi R_0^3 A)$ both increase.Binding energy also changes as the number of nucleons increases.However, the nuclear density $ho$ is given by:$ho = \frac{	ext{mass of nucleus}}{	ext{volume of nucleus}} = \frac{m A}{\frac{4}{3} \pi R^3} = \frac{m A}{\frac{4}{3} \pi (R_0 A^{1/3})^3} = \frac{m A}{\frac{4}{3} \pi R_0^3 A} = \frac{3m}{4 \pi R_0^3}$.Since $m$ (average nucleon mass) and $R_0$ are constants, the nuclear density is independent of the mass number $A$ and remains constant.

As the mass number $A$ increases, which of the following quantities related to a nucleus does not change?

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