NEET Physics Nuclear Physics And Radioactivity NEET PYQ-Nuclear Physics

  • question_answer
    A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils. The recoil energy will be                                                                                                                                                    [AIPMT (S) 2011]

    A)  x\[{{h}^{2}}{{v}^{2}}/2M{{c}^{2}}\]                   

    B)  zero

    C)  \[hv\]               

    D)       \[M{{c}^{2}}-hv\]

    Correct Answer: A

    Solution :

    Momentum of a photon
    \[p=\frac{hv}{c}\]
    Hence, Recoil energy
    \[E=\frac{{{p}^{2}}}{2M}\]
    \[\therefore \]      \[E=\frac{{{\left( \frac{hv}{c} \right)}^{2}}}{2M}\]
       or      \[E=\frac{{{h}^{2}}{{v}^{2}}}{2M{{c}^{2}}}\]


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