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
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.