JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Photon and Photoelectric Effect

  • question_answer
    The work functions of metals A and B are in the ratio 1 : 2. If light of frequencies \[f\] and \[2f\] are incident on the surfaces of A and B respectively, the ratio of the maximum kinetic energies of photoelectrons emitted is (f is greater than threshold frequency of A, 2f is greater than threshold frequency of B)                                         [EAMCET (Med.) 2000]

    A)            1 : 1                                          

    B)            1 : 2

    C)            1 : 3                                          

    D)            1 : 4

    Correct Answer: B

    Solution :

                       \[E={{W}_{0}}+{{K}_{\max }}\]                ?..(i)                    \[\Rightarrow hf={{W}_{A}}+{{K}_{A}}\]            ?..(ii)                    and \[2hf={{W}_{B}}+{{K}_{B}}=2{{W}_{A}}+{{K}_{B}}\]     \[\left( \because \,\,\frac{{{W}_{A}}}{{{W}_{B}}}=\frac{1}{2} \right)\]                    Dividing equation (i) by (ii)            \[\frac{1}{2}=\frac{{{W}_{A}}+{{K}_{A}}}{2{{W}_{A}}+{{K}_{B}}}\Rightarrow \frac{{{K}_{A}}}{{{K}_{B}}}=\frac{1}{2}\]


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