If the ratio of the nuclear radii of two atoms is 2:3 then the ratio of their mass numbers is:

Step-by-step solution

The nuclear radius R is related to the mass number A by the empirical formula: R = R₀ A^ 1/3 where R₀ is a constant. The ratio of the nuclear radii of two atoms is given by: R₁ R₂ = ( A₁ A₂ )^ 1/3 Given R₁ R₂ = 2 3 , substituting this value: 2 3 = ( A₁ A₂ )^ 1/3 Cubing both sides: A₁ A₂ = ( 2 3 )^3 = 8 27 The ratio of their mass numbers is 8:27 . Answer: 8:27