The ratio of the density of oxygen nucleus ( ¹⁶₈ O ) and helium nucleus ( ⁴₂ He ) is

Step-by-step solution

The radius of a nucleus with mass number A is given by R = R₀ A^ 1/3 . The volume of the nucleus is V = 4 3 R^3 = 4 3 R₀^3 A . The mass of the nucleus is M A m , where m is the average mass of a nucleon. The density of the nucleus is = M V = A m 4 3 R₀^3 A = m 4 3 R₀^3 . Since the density is independent of the mass number A , it is constant for all nuclei. Therefore, the ratio of the density of the oxygen nucleus to the helium nucleus is 1 : 1 . Answer: 1 : 1