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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

Verified by Experts

Given `m_(e)= 1.007825u, m_(n) = 1.008665 u, M = 15.995u,Z=8, A=16 `
`DeltaM = [Zm_(p)+(A-Z)m_(n)]-M=[8xx1.007825+8xx1.008665]-15.995`
`=[8.0626+8.06932]-15.995=16.13192-15.995=0.1369u`
Binding energy `E_(b) = 0.13692xx931.5`
`E_(b)` =127.54 MeV
Binding energy / nucleon `E_(bn)= (E_(b))/(A)`
`E_(bn)=(127.54)/(16)`
`E_(bn)=7.97` MeV
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