NEET Physics Photo Electric Effect, X- Rays & Matter Waves NEET PYQ-Photo Electric Effect,X-Rays

  • question_answer
    For photoelectric emission from certain metal the cut-off frequency is v. If radiation of frequency 2v impinges on the metal plate, the maximum possible velocity of the emitted electron will be (m is the electron mass)              [NEET 2013]

    A)  \[\sqrt{\frac{hv}{(2m)}}\]

    B)                   \[\sqrt{\frac{hv}{m}}\]

    C)  \[\sqrt{\frac{2hv}{m}}\]

    D)       \[\sqrt[2]{\frac{hv}{m}}\]

    Correct Answer: C

    Solution :

    As \[\frac{1}{2}mv_{\max }^{2}=hv\]
                \[\Rightarrow \]   \[v_{\max }^{2}=\frac{2hv}{m}\]c
    \[\therefore \]      \[{{v}_{\max }}=\sqrt{\frac{2hv}{m}}\]


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