Four statements are given (A is mass number) : A. The volume of a...

The radius of a nucleus is given by $R = R_0 A^{1/3}$.

The volume of the nucleus is $V = \dfrac{4}{3} \pi R^3 = \dfrac{4}{3} \pi R_0^3 A$.

Thus, the volume of a nucleus is directly proportional to its mass number $A$. Statement A is false and Statement B is true.

The mass defect is defined as the difference between the sum of the masses of the constituent nucleons (protons and neutrons) and the actual mass of the nucleus.

Thus, Statement C is false and Statement D is true.

Therefore, B and D are true, but A and C are false.

Answer: B and D are true, but A and C are false