JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Self Evaluation Test - Nuclei

  • question_answer
    The masses of neutron and proton are 1.0087 a.m.u. and 1.0073 a.m.u. respectively. If the neutrons and protons combine to form a helium nucleus (alpha particles) of mass 4.0015 a.m.u the binding energy of the helium nucleus will be \[\left( 1\text{ }a.m.u.=931MeV \right)\]

    A)  28.4 MeV

    B)    20.8 MeV

    C)  27.3 MeV

    D)  14.2 MeV

    Correct Answer: A

    Solution :

    [a] \[B.E.=\Delta m{{c}^{2}}=\Delta \times 931MeV\] \[=[2(1.0087+1.0073)-4.0015]\times 931\] \[=28.4\,MeV\]


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