Obtain the binding energy (in MeV) of a nitrogen nucleus (147N) given m (147N) = 14.00307 u

The number of neutron and Proton both are 7 in a 14N7 atom.

The mass defect Δm = mp + mn-mN


And Binding energy is given by EB = Δmc2


Mass of a proton = 1.007825 u


Mass of a neutron = 1.008665 u


In this case mass defect = Δm = 7 × (1.007825 + 1.008665)-14.00307u = 0.11236 u


We know, 1 u = 931.5 MeV/c2


So, E = Δmc2 = 0.11236 × 931.5 (MeV/c2 × c2 ) = 104.66334 MeV


Hence, Binding energy of 14N7 = 104.66334 MeV


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