Match List-I with List-II regarding the dependence of nuclear...

The radius of a nucleus is given by $R = R_0 A^{1/3}$. Thus, nuclear radius is proportional to $A^{1/3}$ (A matches to II).

The volume of the nucleus is $V = \dfrac{4}{3} \pi R^3 = \dfrac{4}{3} \pi R_0^3 A$. Thus, nuclear volume is proportional to $A$ (B matches to III).

Nuclear density is the ratio of nuclear mass to nuclear volume. Since both mass and volume are approximately proportional to $A$, nuclear density is independent of $A$ (C matches to I).

The mass of a nucleus is approximately equal to $A$ times the mass of a nucleon. Thus, nuclear mass is approximately proportional to $A$ (D matches to III).

Therefore, the correct matching is A - II, B - III, C - I, D - III.

Answer: A - II, B - III, C - I, D - III