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Question

In a nuclear reaction,

21H+21H 32He+10n
if the masses of 21H and 32He are 2.014741 amu and 3.016977 amu respectively, then the Q-value of the reaction is nearly:

A
0.00352 MeV
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B
3.57 MeV
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C
0.82 MeV
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D
2.45 MeV
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Solution

The correct option is B 3.57 MeV
For Q value we calculate the difference of mass defect of reactants and the mass defect of products.

Mass defect of reactants =2.014741×2=4.029482

Mass defect of products =3.016977+1.0086649

Difference in mass Δm=4.029482(3.016977+1.0086649)=0.0038401

Q value =Δm×931=0.0038401×931 MeV

Which is approximately equal to 3.57 MeV

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