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

  • question_answer
    Binding energy per nucleon vs mass number curve for nuclei is shown in the Figure. W, X, F and Z are four nuclei indicated on the curve. The process that would release energy is  

    A)  \[Y\to 2Z~\]

    B)  \[W\to X+Z\,\]

    C)  \[W\to 2Y\]

    D)  \[X\to Y+Z\]

    Correct Answer: C

    Solution :

    [c] Energy is released when stability increases. This will happen when binding energy per nucleon increases.
    Reactant Product
    Reaction [a] \[60\times 8.5\,MeV\] \[=510\,MeV\] \[2\times 30\times 5\] \[=300\,MeV\]
    Reaction [b] \[120\times 7.5\] \[=900\,MeV\] \[(90\times 8+30\times 5)\] \[=870\,MeV\]
    Reaction [c] \[120\times 7.5\] \[=900\,MeV\] \[2\times 60\times 8.5\] \[=1020\,\,MeV\]
    Reaction               [d] \[90\times 8\] \[=720\,\,MeV\] \[(60\times 8.5+30\times 5)\] \[=600\,MeV\]


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