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Question

The masses of neutron and proton are 1.0087 amu and 1.0073 amu respectively. If the neutrons and protons combine to form a helium nucleus (alpha particles) of mass 4.0015 amu. The binding energy of the helium nucleus will be [1 amu= 931 MeV]

A
28.4 MeV
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B
20.8 MeV ​
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C
27.3 MeV ​
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D
14.2 MeV
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Solution

The correct option is A 28.4 MeV
Helium nucleus consist of two neutrons and two protons.
So binding energy E=Δm×931MeV
E=(2×mp+2mnM)×931MeV=(2×1.0073+2×1.00874.0015)×931=28.4MeV

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