Question

The mass of deutron ${(}_1{H}^2)$ nucleus is $2.013553$ a.m.u. If the masses of proton and neutron are $1.007275$ a.m.u. and $1.008665$ a.m.u. respectively. Calculate the mass defect, the packing fraction, binding energy and binding energy per nucleon.

Answer 1

Mass defect ($△m$) $=massofnucleus-(massofneutron+massofproton)$

$△m=2.013553-(1.007275+1.008665)=-0.002387amu$

Binding Energy = Mass defect X 931 MeV

$=-0.002387\times 931=-2.222MeV$

Binding Energy per nucleon $=-1.111MeV$