from the relation `R=R_0A^(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 ).

Explanation

To show that the nuclear matter density is nearly constant and independent of the mass number \( A \), we start with the given relation:

\[ R = R_0 A^{1/3} \]

where \( R_0 \) is a constant and \( A \) is the mass number of the nucleus.

...