If M(A,Z), `M_(p)and M_(n)` denote the masses of the nucleus `._(Z)X^(A)`, proton and neutron respectively in units of U (where`1U=931MeV//c^(2)`) and B.E. represents its B.E. in MeV, then

Options

A. `M(A,Z)=ZM_(p)+(A-Z)M_(n)-BE//c^(2)`
B. `M(A,Z)=ZM_(p)+(A-Z)M_(n)+BE`
C. `M(A,Z)=ZM_(p)+(A-Z)M_(n)-BE`
D. `M(A,Z)=ZM_(p)+(A-Z)M_(n)+BE//c^(2)`

Answer

A

Explanation

As is known,
`B.E.=[ZM_(p)+(A-Z)M_(n)-M(A,Z)]c^(2)`
`:. (B.E.)/(c^(2))=ZM_(p)+(A-Z)M_(n)-M(A,Z)`
or `M(A,Z)=ZM_(p)+(A-Z)M_(n)-B.E. //c^(2)`