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What is the binding energy per nucleon o...

What is the binding energy per nucleon of `""_(6)C^(12)` nucleus?
Given, mass of `C^(12)(m_c)=12.000u`
Mass of proton `(m_(p))=1.0078u`
Mass of neutron `(m_(n))=1.0087u`
and 1 amu `=931.4(MeV)/(c^(2))`

Text Solution

Verified by Experts

In the nucleus of carbon, there are `6` protons and `6` neutrons.
Now,
`6 m_(p) = 6(1.0078) =6.0468 u`
`6m_(n) =6(1.0087) =6.05224 u`
Total mass `=6 m_(p) + 6m_(n) =12.0990 u `
`m_(c) =12.000 u `
Mass defect, `Delta m =0.0990 u`
`BE = Delta m xx 931.4 = (0.0990)931.4`
`92.2 MeV` .
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