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If M(O) is the mass of an oxygen is otpe...

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

A

`(M_(O) - 17 M_(N))c^(2)`

B

`(M_(O) - 8 M_(p))c^(2)`

C

`(M_(O) - 8M_(p) - 9M_(N)) c^(2)`

D

`(M_(O)c^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Binding energy
`= [ZM_(p) + (A- Z)M_(N) - M]c^(2)`
`= [8M_(p) + (17- 8)M_(N) - M]c^(2)`
` = [8M_(p) + 9M_(N) - M]c^(2)`
`= [8M_(p) + 9M_(N) - M_(0)]c^(2)`
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