From the relation R = R 0 A 1 / 3 , where R 0 is a constant and A is the mass number of a nucleus, show that the nuclear matter density is nearly constant (i.e. independent of A ).
We have the expression for nuclear radius as:
R = R0A1/3
Where,
R0 = Constant.
A = Mass number of the nucleus
Nuclear matter density,
Let m be the average mass of the nucleus.
Hence, mass of the nucleus = mA
Hence, the nuclear matter density is independent of A. It is nearly constant.