Atoms and Nuclei: JEE Main 2023 Physics question

For a nucleus ${ }_{\mathrm{A}}^{\mathrm{A}} \mathrm{X}$ having mass number $\mathrm{A}$ and atomic number $\mathrm{Z}$ A. The surface energy per nucleon $\left(b_{\mathrm{s}}\right)=-a_{1} A^{2 / 3}$. B. The Coulomb contribution to the binding energy $\mathrm{b}_{\mathrm{c}}=-a_{2} \frac{Z(Z-1)}{A^{4 / 3}}$ C. The volume energy $\mathrm{b}_{\mathrm{v}}=a_{3} A$ D. Decrease in the binding energy is proportional to surface area. E. While estimating the surface energy, it is assumed that each nucleon interacts with 12 nucleons. ( $a_{1}, a_{2}$ and $a_{3}$ are constants) Choose the most appropriate answer from the options given below: