NEET Sample Paper NEET Sample Test Paper-54

  • question_answer
    When light of intensity \[1\text{ }W/{{m}^{2}}\] and wavelength \[5\,\,\times \,\,{{10}^{-}}^{7}\,m\] is incident on a surface. It is completely absorbed by the surface. If 100 photons emit one electron and area of the surface is \[1\text{ }c{{m}^{2}}\], then the photoelectric current will be-

    A) \[2m\,A\]                      

    B) \[0.4\,\mu A\]

    C) \[4.0\text{ }mA\]                       

    D) \[4\,\mu A\]

    Correct Answer: B

    Solution :

    \[I\,\,=\,\,1\text{ }W/{{m}^{2}}\] \[\lambda =\,\,5000\,\overset{{}^\circ }{\mathop{A}}\,\] \[A\,\,=\,\,1\text{ }c{{m}^{2}}={{10}^{-}}^{4}\,c{{m}^{2}}\] No. of incidenting photon \[n\,\,=\,\,\frac{I\times A}{hc}\lambda \] \[=\text{ }1\times {{10}^{-}}^{4}\times 5000\times 5\times {{10}^{15}}\] \[=\text{ }25\times {{10}^{13}}\] \[i=\frac{q}{t}=\frac{n\times \frac{1}{100}.\,e}{1}\,\,=25\times {{10}^{13}}\times 1.6\times {{10}^{-~19}}\times 10{{~}^{-2}}\] \[=\,\,40.0\,\,\times \,{{10}^{-8}}A\,\,=\,\,\,0.4\,\,\mu \text{A}\]


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