Q40 / 199 · NTA Abhyas (NEET) 2020 · Physics · Nuclear Physics

The mass of a 37Li nucleus is 0.042 u less than the sum of the masses of all its nucleons. The binding energy per nucleon of  37Li nucleus is nearly

  • A
    46 MeV
  • Correct answer
    B
    5.6 MeV
  • C
    3.9 MeV
  • D
    23 MeV

Solution

For  37Li  nucleus,

Mass defect,  ΔM=0.042 u

∵  1 u= 931.5 MeV c-2

∴  Δ M = 0.042×931.5 MeV c-2

            =39.1 MeV c-2

Binding energy, Eb=ΔMc2

= 3 9 · 1 MeV c 2 c 2

 =39.1 MeV

Binding energy per nucleon,⁡E⁡bn=E⁡bA⁡=39·1 MeV7

                                                    ≈5·6 MeV

Hence, the correct answer is option: 'B'.

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