Physics

Physics

Problem

Using the following nuclear masses (in atomic mass units): 28 ⁣Si=27.9769^{28}\!\text{Si}=27.9769, 27 ⁣Al=26.9815^{27}\!\text{Al}=26.9815, 56 ⁣Fe=55.9349^{56}\!\text{Fe}=55.9349, 55 ⁣Mn=54.9380^{55}\!\text{Mn}=54.9380, and proton mass mp=1.00728m_{p}=1.00728, determine which nucleus has the greater proton separation energy (energy required to remove one proton). a) 56 ⁣Fe^{56}\!\text{Fe} has the greater proton separation energy by about 2 MeV2\,\text{MeV} b) Both nuclei have nearly equal proton separation energies (difference <0.5 MeV<0.5\,\text{MeV}) c) 28 ⁣Si^{28}\!\text{Si} has the greater proton separation energy by about 2 MeV2\,\text{MeV} d) 28 ⁣Si^{28}\!\text{Si} has the greater proton separation energy by about 5 MeV5\,\text{MeV}

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