For a nucleus of mass number A and radius R,t | vedclass

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(D) The radius of a nucleus is given by the relation $R = R_0 A^{1/3}$,where $R_0$ is a constant (approximately $1.2 	imes 10^{-15} \ m$).The mass of

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Independent of $A$

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(D) The radius of a nucleus is given by the relation $R = R_0 A^{1/3}$,where $R_0$ is a constant (approximately $1.2 	imes 10^{-15} \ m$).The mass of a nucleus is approximately $M = A 	imes m_p$,where $m_p$ is the mass of a nucleon (proton or neutron).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 density $ho$ is given by $ho = \frac{M}{V} = \frac{A \cdot m_p}{\frac{4}{3} \pi R_0^3 A}$.Canceling $A$ from the numerator and denominator,we get $ho = \frac{m_p}{\frac{4}{3} \pi R_0^3}$.Since $m_p$,$\pi$,and $R_0$ are constants,the density $ho$ is independent of the mass number $A$.

For a nucleus of mass number $A$ and radius $R$,the mass density of the nucleus can be represented as:

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