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

  • question_answer
    In an \[\alpha \]-decay the kinetic energy of \[\alpha \]-particle is 48 MeV and Q-value of the reaction is 50 MeV. The mass number of the mother nucleus is (Assume that daughter nucleus is in ground state)

    A)  96  

    B)  100  

    C)  104

    D)  110

    Correct Answer: B

    Solution :

    [b] We have \[{{K}_{\alpha }}=\frac{{{m}_{y}}}{{{m}_{y}}+{{m}_{\alpha }}}.Q\] \[\Rightarrow \,\,\,\,\,\,\,{{K}_{\alpha }}=\frac{A-4}{A}.Q\Rightarrow 48=\frac{A-4}{4}.50\Rightarrow A=100\]


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