JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Critical Thinking

  • question_answer
    Ultraviolet light of wavelength 300 nm and intensity 1.0 watt/m2 falls on the surface of a photosensitive material. If 1% of the incident photons produce photoelectrons, then the number of photoelectrons emitted from an area of 1.0 cm2  of the surface is nearly                                       [AMU 1995]

    A)            \[9.61\times {{10}^{14}}per\ \sec \]per sec                

    B)            \[4.12\times {{10}^{13}}per\ \sec \] per sec

    C)            \[1.51\times {{10}^{12}}per\ \sec \] per sec               

    D)            \[2.13\times {{10}^{11}}per\ \sec \] per sec

    Correct Answer: C

    Solution :

                       Intensity of light                    \[I=\frac{Watt}{Area}=\frac{nhc}{A\lambda }\] Þ Number of photon \[n=\frac{IA\lambda }{hc}\]                    \ Number of photo electron = \[\frac{1}{100}\times \frac{IA\lambda }{hc}\]                    \[=\frac{1}{100}\frac{1\times {{10}^{-4}}\times 300\times {{10}^{-9}}}{6.6\times {{10}^{-34}}\times 3\times {{10}^{8}}}=1.5\times {{10}^{12}}\]


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