c
Radius of nucleus \(R=R_{0} A^{\frac{1}{3}}\)

Density of nucleus \(=\frac{\text { Mass of nucleus }}{\text { volume of nucleus }}\)

\(\rho=\frac{ m \times A }{\frac{4}{3} \pi R ^{3}}\) Where \(m :\) mass of proton or neutron

\(\rho=\frac{ m \times A }{\frac{4}{3} \pi R _{0}{ }^{3} A }\)

\(\rho \propto A^{0}\)

Hence density of nucleus is independent of mass number