BCECE Medical BCECE Medical Solved Papers-2006

  • question_answer
    The threshold frequency for certain metal is\[3.3\times {{10}^{14}}Hz\]. If light of frequency \[8.2\times {{10}^{14}}Hz\]is incident on the metal, the cut-off voltage of the photoelectric current will be:

    A)  4.9V            

    B)  3.0V

    C)  2.0V            

    D)  1.0 V

    Correct Answer: C

    Solution :

    Einsteins photoelectric equation is                                 \[KE=hv-{{\phi }_{0}}\]                                 \[e{{V}_{s}}=h\,\,(v-{{v}_{0}})\] where \[{{V}_{s}}\] is threshold or cut-off voltage.                 \[{{V}_{s}}=\frac{h}{e}\,\,(v-{{v}_{0}})\] Here, \[h=6.6\times {{10}^{-34}}J-s,\,e=1.6\times {{10}^{-19}}C\], \[v=8.2\times {{10}^{14}}Hz,\,{{v}_{0}}=3.3\times {{10}^{14}}Hz\] Substituting the values in the above relation we have                                                  \[{{V}_{s}}=\frac{6.6\times {{10}^{-34}}}{1.6\times {{10}^{-19}}}\,(8.2-3.3)\times {{10}^{14}}\] \[=2\,V\]


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