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Calculate the binding energy and binding...

Calculate the binding energy and binding energy per nucleon (in MeV) of a nitrogen nucleus `(""_(7)^(14)N)` from the following data:
Mass of proton=1.0078 u
Mass of neutron=1.00867 u
Mass of nitrogen nucleus=14.00307 u

Text Solution

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Calculation of mass defect.
`Delta m=Zm_(p)+(A-Z)m_(n)=-M`
`Delta =7xx1.00783+7xx1.00876-14.00307`
Calculation of binding energy
for 1 u(1amu) binding energy
`Delta=931.5` MeV
For `0.11243u`, Ginding energy
`DeltaE=0.11243xx931x931.5 MeV`
`=104.72854 MeV`
Binding energy per nucloen
`=(BE)/(A)=(104.7258)/(14)`
`=7.4861.` MeV/ nucloeon
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