Read the following statements: (A) Volume of the nucleus is...

Radius of nucleus is $R = {R}_{0}A\dfrac{1}{3}$, where, ${R}_{0} = 1 . 2 \times {10}^{- 15}m$ and A is mass number of nucleus.

Thus, $R ∝ A\dfrac{1}{3}$

Volume of nucleus is $V = \dfrac{4}{3}\pi{R}^{3} ⇒ V ∝ {R}^{3} ⇒ V ∝ A$.

Now, the density of nucleus is given by $ρ = \dfrac{M}{V} = \dfrac{mA}{\dfrac{4}{3}\pi{R}_{0}^{3}A} = \dfrac{m}{\dfrac{4}{3}\pi{R}_{0}^{3}}$

Thus, density is independent of $A$.

Hence, only \left(A\right)$and \left(E\right)$ are correct.