JEE Main & Advanced Physics EM Waves Question Bank Mock Test - Electromagnetic Waves and Dual Nature

  • question_answer
    In the experiment on photoelectric effect, the graph between \[{{E}_{K}}_{(max)}\] is found to be a straight line as shown in figure. The threshold frequency and Planck's constant according to this graph are

    A) \[3.33\times {{10}^{18}}{{s}^{-1}},\,\,6\times {{10}^{-34}}J\text{-}s\]

    B) \[6\times {{10}^{18}}{{s}^{-1}},6\times {{10}^{-34}}J\text{-}s\]

    C) \[2.66\times {{10}^{18}}{{s}^{-1}},\,\,4\times {{10}^{-34}}J\text{-}s\]

    D) \[4\times {{10}^{18}}{{s}^{-1}},\,\,3\times {{10}^{-34}}J\text{-}s\]  

    Correct Answer: A

    Solution :

    [a] \[{{K}_{\max }}=hv-W\] \[\omega \]is the intercept on y-axis and h is the slope. \[\therefore h=\frac{2.4\times {{10}^{-15}}}{4\times {{10}^{18}}}=6\times {{10}^{-34}}Js\] \[W=2\times {{10}^{-15}}J\] \[\Rightarrow h{{v}_{0}}=2\times {{10}^{-15}}\] Or \[{{v}_{0}}=3.33\times {{10}^{18}}s\]


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