If `M_(O)` is the mass of an oxygen isotope `._(8)O^(17),M_(p) and M_(n)` are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is

Options

A. `(M_(O) - 17 M_(N) ) C^(2)`
B. `(M_(O) - 8 M_(p) )C^(2)`
C. `(M_(O) - 8 M_(p) - 9 M_(N)) C^(2)`
D. `M_(O) C^(2)`

Answer

C

Explanation

Binding energy
`=[ZM_(P) + (A - Z) M_(N) - M]c^(2)`
`= [8M_(P) + (17 - 8) M_(N_(2)) - M]c^(2)`
`=[8 M_(P) + 9M_(N) - M]c^(2)`
`=[8M_(P) + 9 M_(N) - M_(o)]c^(2)`