CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    When a monochromatic point source of light is at a distance 0.2 m from a photoelectric cell, the saturation current and cut-off voltage are 12.0 mA and 0.5 V. If the same source is placed 0.4 m away from the photoelectric cell, then the saturation current  and  the  stopping potential respectively are

    A)  4 mA and 1 V

    B)  12mA and IV

    C)  3mA and IV

    D)  12mA and 0.5V

    E)  3mA and 0.5V

    Correct Answer: E

    Solution :

    The cut-off voltage or stopping potential measure maximum kinetic energy of the electron. It depends on the frequency of incident light whereas the current depends on the number of photons incident. Hence, cut-off voltage will be 0.5 V. Now by inverse square law, \[12\propto \frac{1}{{{(0.2)}^{2}}}\]or\[I\propto \frac{1}{{{(0.4)}^{2}}}\] \[\therefore \]  \[\frac{I}{12}=\frac{{{(0.2)}^{2}}}{{{(0.4)}^{2}}}=\frac{1}{4}\] Or           \[I=\frac{12}{4}=3\,mA\]


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