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 ) C ^(2)`
B. `(M _(O ) - 17 M _(n)) c ^(2)`
C. `( M _(O ) - 8 M _(p)) c ^(2)`
D. `( 8 M_(P) + 9 M _(n) - M _(O)) c ^(2)`

Answer

D

Explanation

The binding energy is given as
`BE = Delta mc ^(2), ` where `Delta m = ` mass defect, and c = speed of light.
`implies BE = (8 M _(P) + 9 M _(n) - M _(O)) c ^(2)`