JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Self Evaluation Test - Dual Nature of Radiation and Matter

  • 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)

    A) \[\sqrt{hv/m}\]

    B) \[\sqrt{2hv/m}\]

    C) \[2\sqrt{hv/m}\]

    D) \[\sqrt{hv/\left( 2m \right)}\]

    Correct Answer: B

    Solution :

    [b]  From photo-electric equation, \[hv'=hv+{{K}_{\max }}\]                                             ?.(i) \[2.hv=hv+\frac{1}{2}mV_{\max }^{2}\text{       }\left[ \therefore v'=2v \right]\]\[\Rightarrow hv=\frac{1}{2}mV_{\max }^{2}\Rightarrow {{V}_{\max }}=\sqrt{\frac{2hv}{m}}\]


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