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

  • 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)   

    A) 1 : 1

    B) 1 : 2 

    C) 1 : 3 

    D) 1 : 4

    Correct Answer: B

    Solution :

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


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