The mass numbers of two different nuclei are in the ratio 27 : 125 . The ratio of their nuclear mass densities and the ratio of their nuclear surface areas are respectively:

Step-by-step solution

The nuclear mass density is approximately constant for all nuclei and is independent of the mass number A . Therefore, the ratio of their mass densities is 1 : 1 . The nuclear radius R is related to the mass number A by the empirical formula: R = R₀ A^ 1/3 The ratio of the radii of the two nuclei is: R₁ R₂ = ( A₁ A₂ )^ 1/3 = ( 27 125 )^ 1/3 = 3 5 Assuming the nuclei are spherical, the surface area S is proportional to the square of the radius ( S = 4 R^2 ). The ratio of their surface areas is: S₁ S₂ = ( R₁ R₂ )^2 =