Q. Consider the nuclear reaction $X^{200} \rightarrow A^{110}\ + B^{80}$. If the binding energy per nucleon for X, A and B are 7.4 MeV, 8.2 MeV and 8.1MeV respectively, then the energy released in the reaction is

A) 70 MeV
B) 200 MeV
C) 190 MeV
D) 10 MeV
Explanation

(a) For $X$, energy = 200 $\times$ 7.4 =1480 MeV
For A, energy = 110 $\times$ 8.2 =902 MeV
For B, energy = 80 $\times$ 8.1 =648 MeV
Therefore energy released
$= (902\ + 648) - 1480$
$= \ 1550\ –\ 1480\ = \ 70$ MeV

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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