Q. A nucleus $\ _{Z}^{A}X$ has mass represented by $M(A,Z)$. If $M_{P}$ and $M_{n}$ denote the mass of proton and neutron respectively and B.E the binding energy in $MeV$, then
A) $B.E. = \left\lbrack M(A,Z) - ZM_{P} - (A - Z)M_{n} \right\rbrack C^{2}$
B) $B.E. = \lbrack ZM_{P} + (A - Z)M_{n} - M(A.Z)C^{2}$
C) $B.E. = \left\lbrack ZM_{P} + AM_{n} - M(A.Z) \right\rbrack C^{2}$
D) $B.E. = M(A,Z) - ZM_{P} - (A - Z)M_{n}$
Explanation
The correct answer is Option B: $B.E. = \lbrack ZM_{P} + (A - Z)M_{n} - M(A.Z)C^{2}$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.