NEET AIPMT SOLVED PAPER SCREENING 2011

  • question_answer
    A radioactive nucleus of mass M emits a photon of frequency v and the nucleus recoils. The recoil energy will be

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

    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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