The average density of nuclei is often quoted as 2.3×1017kgm−3. Assume that the mass of a single nucleon is 1u=1.66×10−27kg.
(a) Starting from the definition of density and the empirical relation between nuclear radius and mass number, derive an expression for the constant R0 in terms of the given numerical values.
(b) Using the value of R0 obtained in part (a), estimate the radius of a 197Au nucleus.
(c) Compare your estimated radius with the commonly accepted value obtained when R0 is taken to be 1.2×10−15m, and discuss any discrepancy.