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).

Question

Philoid · Accepted Answer

The radius od a nucleus is given as R = R₀A^1/3 (A = mass number)

And, the density is given by =

Let m be average mass of the atom, hence Mass = mA

And volume =

Hence,

From the relation R = R0A1/3, where R0 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).

From the relation R = R₀A^1/3, where R₀ 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).