When the mass number A of a nucleus increases, which of the following associated quantities remains unchanged?

Step-by-step solution

The radius of a nucleus is given by R = R₀A^ 1/3 , where A is the mass number and R₀ is a constant. The volume of the nucleus is V = 4 3 R^3 = 4 3 R₀^3 A . The mass of the nucleus is approximately M = m A , where m is the average mass of a nucleon. The density of the nucleus is = M V = m A 4 3 R₀^3 A = m 4 3 R₀^3 . Since the density is independent of the mass number A , it remains unchanged when A increases. Volume, mass, and total binding energy all depend on A and will change.