JEE Main & Advanced Sample Paper JEE Main - Mock Test - 26

  • question_answer
    Ultraviolet light of wave length 300 nm and intensity \[1.0 watt/{{m}^{2}}\] falls on the surface of a photosensitive material. If \[1%\] of the incident photons produce photoelectrons, then find the number of photoelectrons emitted from an area of \[1.0\text{ }c{{m}^{2}}\] of the surface.

    A) \[9.61\times 1{{0}^{14}}per\,sec\]

    B) \[4.12 \times  1{{0}^{13}}per sec\]

    C) \[1.51 \times \,1{{0}^{12}}per sec\]      

    D) \[2.13 \times  1{{0}^{11}}per sec\]

    Correct Answer: C

    Solution :

    Intensity of light \[I=\frac{Watt}{Area}=\frac{nhc}{A\lambda }\Rightarrow \,\,Number\,\,of\,\,photon\,\,=\,\,\frac{IA\lambda }{hc}\] \[\therefore  Number of\,\,photoelectrons emitted = \frac{1}{100}\times \frac{IA\lambda }{hc}\]\[=\,\,\frac{1}{100}\times \frac{1\times {{10}^{-\,4}}\times 300\times {{10}^{-9}}}{6.6\times {{10}^{-34}}\times 3\times {{10}^{8}}}=1.5\times {{10}^{12}}\,\,per\,\,\sec \]


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