Medium MCQ +4 / -1 PYQ · JEE Mains 2020

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)

  1. A 9.0 MeV
  2. B 8.5 MeV Correct answer
  3. C 8.0 MeV
  4. D 7.5 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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