Find the Binding energy per neucleon for ${}_{50}^{120}Sn$. Mass of proton mp = 1.00783 U, mass of neutron mn = 1.00867 U and mass of tin nucleus mSn = 119.902199 U. (take 1U = 931 MeV)
Solution
$B.E. = \Delta m{c^2}$<br><br>$= \Delta m \times 931$<br><br>$$\Delta m = \left( {50 \times 1.00783} \right) + \left( {70 \times 1.00867} \right) - \left\{ {119.902199} \right\}$$<br><br>$= \left\{ {120.9984 - 119.902199} \right\}\,U$<br><br>$= 1.1238\,U$<br><br>$BE = 1.1238\, \times 931 = 1046.2578\,MeV$<br><br>BE per nucleon $\simeq$ 1046/120 $\approx$ 8.5 Mev
About this question
Subject: Physics · Chapter: Atoms and Nuclei · Topic: Nuclear Binding Energy
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