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 `BE` the blinding energy (in MeV), then

Options

A. `B.E = [M (A, Z)- ZM_(P)- (A- Z) M_(n)] c^(2)`
B. `B.E = [ZM_(P) + (A- Z)M_(n)- M (A, Z)] c^(2)`
C. `B.E = [ZM_(P) + AM_(n) - M (A, Z)]c^(2)`
D. `B.E = M (A, Z)- ZM_(P) - (A- Z)M_(n)`

Answer

B

Explanation

Mass defect `= (ZM_(P) + (A- Z)M_(n))- M(A, Z)`
Binding energy `BE = [ZM_(P) + (A- Z) M_(n)- M (A, Z)]c^(2)`