If M0 is the mass of an oxygen isotope 8O17,Mp and Mn are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is
A
(MO−8Mp)c2
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B
(MO−8Mp−9Mn)c2
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C
MOc2
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D
(MO−17Mn)c2
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Solution
The correct option is B(MO−8Mp−9Mn)c2
Number of proton in Oxygen isotope, Z=8
Number of neutron, N=17−8=9
The nuclear reaction: 8p+9n→8O17
Nuclear binding energy of the isotope, B.E=(Mproduct−MReactant)c2