BHU PMT BHU PMT Solved Paper-2002

  • question_answer
    Light of wavelength \[x={{h}^{2}}\] is incident on a metal plate whose work function is\[x=0.5\,h\]. The  maximum kinetic energy of the emitted photo-electron will be :                                 [BHU PMT-2002]

    A)                  \[x=2h\]                                             

    B)                  \[x=h\]

    C)                  \[{{10}^{7}}\,\,\pi J\]                                    

    D)                  \[{{10}^{4}}\,\,\pi J\]

    Correct Answer: B

    Solution :

                     When maximum kinetic energy of photoelectrons is \[{{E}_{K}},\] and \[W\] is work function of metal, then from Einstein?s photoelectric equation.                                                 \[{{E}_{K}}=hv-W\]                 Where \[hv\] is energy of photon absorbed in the metal.                 Also \[E=hv=\frac{hc}{\lambda },\]                                 \[E=\frac{6.6\times {{10}^{-34}}\times 3\times {{10}^{8}}}{4000\times {{10}^{-10}}\times 1.6\times {{10}^{-19}}}ev\]                                 \[=0.31\,\,eV\]                 \[\therefore \]  \[{{E}_{k}}=3.1-2=1.1\,\,eV\]                 Note: Photoelectrons are emitted when energy of incident photon is more than work function of the metal.


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