Two nuclei have mass numbers 64 and 125 . Assuming them to be perfect spheres, the ratio of their surface areas is:

Step-by-step solution

The radius R of a nucleus is related to its mass number A by: R = R₀A^ 1 3 The ratio of the radii of the two nuclei is: R₁ R₂ = ( A₁ A₂ )^ 1 3 = ( 64 125 )^ 1 3 = 4 5 Assuming the nuclei to be perfect spheres, the surface area S is given by S = 4 R² . Thus, the surface area is proportional to the square of the radius ( S R² ). The ratio of their surface areas is: S₁ S₂ = ( R₁ R₂ )² = ( 4 5 )² = 16 25 Answer: 16:25