Q. Binding energy per nucleon relation with mass Number
VMMC MedicalVMMC Medical 2014
Solution:
The variation of average binding energy per nucleon with mass number A is shown in figure.
Mass number. (A) Average binding energy per nucleon for light nuclei like $ _{1}{{H}^{1}}{{,}_{1}}{{H}^{2}}{{,}_{1}}{{H}^{3}} $ is small. For mass numbers ranging from 2 to 20, there are sharply defined peaks corresponding to $ _{2}H{{e}^{4}}{{,}_{6}}{{C}^{12}}{{,}_{8}}{{O}^{16}} $ etc. The binding energy curve has a broad maximum in the range A = 30 to 4 = 120 corresponding to average binding energy per nucleon = 8.5 MeV. The peak value of the maximum is 8.8 MeV/nucleon for $ _{26}F{{e}^{56}} $ . As the mass number increases, the binding energy per nucleon decreases gradually falling to about 7.6 MeV per nucleon for $ _{92}{{U}^{238}} $
