JIPMER Jipmer Medical Solved Paper-2005

  • question_answer
    The work function of sodium is 2.3 eV. The threshold wavelength of sodium will be:

    A)  \[2900\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    B)                         \[2500\,\overset{\text{o}}{\mathop{\text{A}}}\,\]        

    C)         \[5380\,\overset{\text{o}}{\mathop{\text{A}}}\,\]        

    D)         \[1200\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: C

    Solution :

    Here: work function       \[{{W}_{0}}=2.3\,eV=2.3\times 1.6\times {{10}^{-19}}J\] where \[{{\lambda }_{0}}\] is the threshold wavelength for sodium Then, \[{{W}_{0}}=\frac{hc}{{{\lambda }_{0}}}\] or \[{{\lambda }_{0}}=\frac{hc}{{{W}_{0}}}\] \[{{\lambda }_{0}}=\frac{6.6\times {{10}^{-34}}\times 3\times {{10}^{8}}}{2.3\times 1.6\times {{10}^{-19}}}\] \[=5380\times {{10}^{-10}}m\] \[=5380\,\overset{\text{o}}{\mathop{\text{A}}}\,\]


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