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Question: The mass of \({}_{3}^{7}\) L is \(0.042\) amu less than the sum of masses of its constituents. The b...

The mass of 37{}_{3}^{7} L is 0.0420.042 amu less than the sum of masses of its constituents. The binding energy per nucleon is

A

5.586MeV5.586MeV

B

10.522MeV10.522MeV

C

2.433MeV2.433MeV

D

3.739MeV3.739MeV

Answer

5.586MeV5.586MeV

Explanation

Solution

: Binding energy, EbE_{b}of 37Li{}_{3}^{7}Li =Δm×931MeV= \Delta m \times 931MeV

=0.042×931MeV= 0.042 \times 931MeV

Binding energy per nucleon

=0.042×9317=5.586MeV= \frac{0.042 \times 931}{7} = 5.586MeV