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Q.

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

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a

46 MeV     

b

5.6 MeV

c

3.9 MeV 

d

23 MeV

answer is B.

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Detailed Solution

For  37Li nucleus,

Mass defect, Δm=0.042 amu

1amu=931.5MeV/c2

Δm=0.042×931.5MeV/c2=39.1MeV/c2

Binding energy,

Eb,=Δmc2=39.1MeVc2c2=39.1MeV

Binding energy per nucleon, 

E'b=EbA=39.1MeV75.6MeV

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