WB JEE Medical WB JEE Medical Solved Paper-2015

  • question_answer
    The work function of metals is in the range of 2eV to 5eV. Find which of the following wavelength of light cannot be used for photoelectric effect?  (Consider, Plank constant \[=4\times {{10}^{-15}}\,eVs,\] velocity of light\[=3\times {{10}^{8}}\,m/s\])

    A)  510 nm

    B)  650 nm

    C)  400 nm          

    D)  570 nm

    Correct Answer: B

    Solution :

     Given that, \[2eV\le \text{o }\!\!|\!\!\text{ }\le \text{5}\,\text{eV}\] Wavelength corresponding to minimum and maximum values of work function are \[{{\lambda }_{\max }}=\frac{hc}{E}=\frac{4\times {{10}^{-15}}\times 3\times {{10}^{8}}}{2}\] \[=6\times {{10}^{-7}}m=600\,nm\] and \[{{\lambda }_{\min }}=\frac{hc}{E}=\frac{4\times {{10}^{-15}}\times 3\times {{10}^{8}}}{5}\] \[=2.4\times {{10}^{-7}}m=240\,nm\] Clearly, wavelength range would be \[240\le \lambda \le 600\] Thus, wavelength 650 nm is not suitable for photoelectric effect.


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