Identify the correct statements.

(A) Neutrons penetrate the nucleus more readily as compared to protons.
(B) It is easier to release an orbital electron, but quite difficult to release a nucleon.
(C) Nuclear density is not the same for all nuclei.
(D) The radius of the nucleus is directly proportional to the cube root of the mass number.

Choose the correct answer from the options given below.

(A), (B) and (D) only

The correct answer is Option (2) → (A), (B) and (D) only

(A) ✔ Neutrons penetrate the nucleus more readily than protons because they are neutral and not repelled by the positive charge of the nucleus.

(B) ✔ It is easier to release an orbital electron (binding energy of a few eV) compared to a nucleon (binding energy of a few MeV).

(C) ✘ Nuclear density is the same for all nuclei, since $\rho = \frac{\text{mass}}{\text{volume}} \approx \frac{A}{\frac{4}{3}\pi R^3}$ with $R \propto A^{1/3}$, giving constant density.

(D) ✔ Nuclear radius follows $R = R_0 A^{1/3}$, so it is directly proportional to the cube root of the mass number.

Correct statements: (A), (B), (D)