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The mass of helium atom is 4.0026 amu, w...

The mass of helium atom is 4.0026 amu, while that of the neutron and proton are 1.0087 and 1.0078 amu respectively on the same scale. Hence, the nuclear binding energy per nucleon in the helium atom is about

A

5 MeV

B

12 MeV

C

14 MeV

D

7 MeV

Text Solution

Verified by Experts

The correct Answer is:
D
Mass defect of `""_(2)He^4 Deltam = [2(m_p + m_p)-m_(He)]`
`Deltam = [2(1.0087 + 1.0078)-4.0026]`
`= 4.033-4.0026 implies Deltam = 0.0304`
`therefore ` Binding energy per nucleon
` =(Deltam xx 931.5)/(4) = (0.0304xx931.5)/(4) = 7.01 ` MeV
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