Q. 215.0( 4 Votes )

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).

Answer :

The radius od a nucleus is given as R = R0A1/3 (A = mass number)

And, the density is given by =

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

And volume =

Hence, 𝞺 = =

This is a constant independent of A. So, Nuclear density is a constant.

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