The density of a nucleus is qquad the atomic | vedclass

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(D) The correct answer is $D$.Let $m$ be the average mass of a nucleon and $A$ be the mass number.The mass of the nucleus is given by $M = m A$.The ra

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(D) The correct answer is $D$.Let $m$ be the average mass of a nucleon and $A$ be the mass number.The mass of the nucleus is given by $M = m A$.The radius of the 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 density of the nucleus $\rho$ is defined as the ratio of mass to volume:$\rho = \frac{M}{V} = \frac{m A}{\frac{4}{3} \pi R_0^3 A} = \frac{m}{\frac{4}{3} \pi R_0^3}$.Since $m$ and $R_0$ are constants,the density $\rho$ is independent of the mass number $A$.

The density of a nucleus is $\qquad$ the atomic mass number $A$.

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