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

  • question_answer
    Light of wavelength \[\text{200 }\overset{\text{o}}{\mathop{\text{A}}}\,\] fall on aluminum surface. Work function of aluminum is 4.2 eV. What is the kinetic energy of the fastest emitted photoelectrons?

    A) 2eV      

    B) 1eV

    C) 4eV

    D) 0.2eV

    Correct Answer: A

    Solution :

    [a] By Einstein's equation of photo-electric effect, the maximum kinetic energy of emitted photo-electrons is given by \[{{E}_{k}}=hv-W\text{ or }{{E}_{k}}=\frac{hc}{\lambda }-W\] Where, h = Planck's constant v = frequency of incident light W'= work function of metal \[\lambda \]= wavelength of incident light \[{{E}_{k}}=\frac{6.6\times {{10}^{-\,34}}\times 3\times {{10}^{8}}}{2000\times {{10}^{-\,10}}\times 1.6\times {{10}^{-19}}}eV=-\,4.2eV\] So, \[{{E}_{k}}=2eV\]


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