JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Mock Test - Modern Physics

  • question_answer
    The binding energy of deuteron \[\begin{matrix}    2  \\    1  \\ \end{matrix}H\] is 1.112 Me V pen nucleon and an \[\alpha \]-particle \[\begin{matrix}    4  \\    2  \\ \end{matrix}He\] has a binding energy of 7.047 Me V per nucleon. Then in the fusion reaction \[\begin{matrix}    2  \\    1  \\ \end{matrix}He+\begin{matrix}    2  \\    1  \\ \end{matrix}H\to \begin{matrix}    4  \\    2  \\ \end{matrix}He+Q\], the energy Q released is

    A) \[1\,MeV\]         

    B) \[11.9\,MeV\]

    C) \[23.8\,MeV\]    

    D) \[931\,MeV\]

    Correct Answer: C

    Solution :

    [c] Mass of \[_{1}{{H}^{2}}\]= 2.01478 a.m.u. Mass of \[_{2}{{H}^{4}}\]= 4.00388 a.m.u. Mass of two deuterium \[=2\times 2.01478=4.02956\] Energy equivalent to \[{{2}_{1}}{{H}^{2}}\] \[=4.02956\times 1.112\] MeV \[=4.48\]MeV Energy equivalent to \[_{2}{{H}^{4}}\] \[=7.00388\times 7.047\]MeV\[=28.21MeV\] Energy released \[=28.21-4.48\] \[=23.73\]MeV\[=24\]MeV


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