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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

Verified by Experts

Here `m_p = 1.00783 u,m_(n) = 1.0086 u, M = 14.0030 u, A = 14 m Z = 7`
Mass defect
`Deltam= [Zm_(p) + (A-Z) m-n)-M`
`= [7xx1.00783 + (14-7) 1.00867] - 14.00307`
`Deltam = 0.11243u`
Binding energy
For 1u (1 amu), binding energy `DeltaE = 931.5 MeV`
For 0.11243 u (1 amu)
`DeltaE = 0.11243 xx93.15 MeV`
`= 104.72854 MeV`
Binding energy per nucleon `=(BE)/A`
`= (104.72854)/14 = 7.48061` MeV/nucleon
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