Four statements are given (A is mass number) : A. The volume of a nucleus is proportional to A^ 1/3 . B. The volume of a nucleus is proportional to A . C. The difference in mass of an atom and its nucleus is called the mass defect. D. The difference in mass of a nucleus and its constituents is called the mass defect. Choose the correct answer from the options given below :

Step-by-step solution

The radius of a nucleus is given by R = R₀ A^ 1/3 . The volume of the nucleus is V = 4 3 R^3 = 4 3 R₀^3 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 tr