We know that, the radius (R) of nucleus is given as R=R0A1∕3 or R∝A1∕3 Where, R0= constant A= mass number ∴ Nuclear density, ρ=
mass
volume
=
mA
4
3
πR3
(here, m is mass of each nucleon) ⇒ρ=
mA
4
3
π(R0A1∕3)3
=
mA
4
3
πR03A
ρ=
3m
4πR03
Hence, it is clear from above formula, nuclear density is independent of mass number A. The binding energy, E=∆mc2 i. e E∝∆m Where, ∆m= mass defect Energy is released when heavy nuclei undergo transmutation into light nuclei.