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Calculate the Binding energy and and bin...

Calculate the Binding energy and and binding energy per nuclcon of an oxygen nucleus `(O_(8)^(16))` using the following data (MeV):
Mass of proton = 1.007825 u
Mass of neutron = 1.00865 u
Mass of oxygen nucleus = 15.995 u.

Text Solution

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Solution :
given: `M_(p)=1.007825" u "`
`M_(n)=1.008665" u "`
`M_("ox")=15.995" u "`
Rert Mass of Constituent Nucleus :
`"Mass of 8 protons"=8xx1.007825=8.0626" u "`
`"Mass of 8 neutrons"=8xx1.008665=8069324`
`"total Mass"=8.0262+8.6932=16.13194`
rest mass of `O_(8)^(16)"necleon"=15.99504`
Mass defect of the Nucleon = 0.13694
Energy equivalent of mass defect `=0.1369xx9.31.5MeV`
B.E = 127.522 MeV
`(B.E)/(A)=(127.522)/(16)=7.970MeV//"nucleon.`
Hence B.E. per nucleon `=7.970MeV//"nucleon."`
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