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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))_(m)` = 12.000 u
Mass of proton `m_(p)` = 1.0078 u
Mass of neutron `m_(n)` = 1.0087 u
and 1 amu = 931.4 MeV

A

5.26 MeV

B

10.11 MeV

C

15.65 meV

D

7.68 MeV

Text Solution

Verified by Experts

The correct Answer is:
D
Carbon nucleus has 6 protons and 6 neutrons . Total mass of carbon
`(6m_(p) + 6m_(n))`=12.099 amu
and `m_(c) = 12.000 amu`
Mass defect = `DeltaM` = 0.099 amu
`("binding energy")/("Nucleons")=(BE)/A = ((Deltam)931.4)/12`
`((0.099)(931.4))/12 = 7.68 Mev`
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