JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Photon and Photoelectric Effect

  • question_answer
    The work function for tungsten and sodium are 4.5 eV and 2.3 eV respectively. If the threshold wavelength \[\lambda \] for sodium is \[5460{AA}\], the value of  \[\lambda \] for tungsten is [MP PET 1990]

    A) 5893 Å                                     

    B) 10683 Å

    C) 2791 Å                                     

    D) 528 Å

    Correct Answer: C

    Solution :

    Since \[{{W}_{0}}=\frac{hc}{{{\lambda }_{0}}}\]; \[\therefore \ \frac{{{({{W}_{0}})}_{T}}}{{{({{W}_{0}})}_{Na}}}=\frac{{{\lambda }_{Na}}}{{{\lambda }_{T}}}\] or \[{{\lambda }_{T}}=\frac{{{\lambda }_{Na}}\times {{({{W}_{0}})}_{Na}}}{{{({{W}_{0}})}_{T}}}\]\[=\frac{5460\times 2.3}{4.5}=2791\ {\AA}\]


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