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Question

The masses of neutron and proton are 1.0087amu. 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 for the helium nucleus will be (1 a.m.u = 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
Mass of two proton =1.0087×2=2.0174 a.m.u
Mass of two neutron =1.0073×2=2.0146 a.m.u
Total mass =2.0174+2.0146=4.032
Mass defect =4.0324.0015=0.0305 a.m.u
Binding energy =0.0305×931=28.4 MeV

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