(a) State the empirical relation between the radius of a nucleus and its mass number.
(b) Using this relation, derive an expression for the average density of a nucleus in terms of the mass of a nucleon and the constant that appears in the radius formula. Show explicitly whether this density depends on the mass number.
(c) Taking the mass of one nucleon as 1.67×10−27kg and the constant in the radius expression as 1.2fm, estimate the numerical value of nuclear density and comment on its order of magnitude.