KVPY Sample Paper KVPY Stream-SX Model Paper-28

  • question_answer
    A metal plate of area \[1\times {{10}^{-4}}{{m}^{2}}\]is illuminated by a radiation of intensity \[16\text{ }mW/{{m}^{2}}.\] The work function of the metal is \[5eV.\] The energy of the incident photons is 10 eV and only \[10%\] of it produces photo electrons. The number of emitted photo electrons per second and their maximum energy, respectively, will be : \[\left[ 1eV=1.6\times {{10}^{-19}}J \right]\]

    A) \[{{10}^{14}}\]and \[10\text{ }eV\]     

    B) \[{{10}^{12}}\] and \[5\text{ }eV\]

    C) \[{{10}^{11}}\]and \[5\text{ }eV\]  

    D) \[{{10}^{10}}\] and \[5\text{ }eV\]

    Correct Answer: C

    Solution :

    \[n=\frac{16\times {{10}^{-3}}\times {{10}^{-4}}}{10\times 10\times {{10}^{-19}}}\simeq 1.6\times {{10}^{11}}\]
    \[{{(K.E.)}_{\max }}=(10-5)eV=5eV\]


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