Punjab Medical Punjab - MET Solved Paper-2007

  • question_answer
    Light of wavelength \[0.6\mu m\] from a sodium lamp falls on a photocell and causes the emission of photoelectrons for which the stopping potential is \[0.5V\] with light of wavelength \[0.4\mu m\] from a sodium lamp, the stopping potential is \[1.5V\], with this data, the value of\[h/e\]is

    A) \[4\times {{10}^{-19}}V\text{-}s\]

    B) \[0.25\times {{10}^{-15}}V\text{-}s\]

    C) \[4\times {{10}^{-15}}V\text{-}s\]

    D) \[4\times {{10}^{-8}}V\text{-}s\]

    Correct Answer: C

    Solution :

    According to photoelectric equation                 \[eV=\frac{hc}{\lambda }-{{W}_{0}}\]                 \[0.5e=\frac{hc}{6\times {{10}^{-7}}}-{{W}_{0}}\] \[\Rightarrow \]               \[0.5=\frac{h}{e}\times \frac{c}{6\times {{10}^{-7}}}-\frac{{{W}_{0}}}{e}\]                            ? (i) Similarly,                 \[1.5=\frac{h}{e}\times \frac{c}{4\times {{10}^{-7}}}-\frac{{{W}_{0}}}{e}\]                            ? (ii) From Eqs. (i) and (ii),                 \[1=\frac{h}{e}\times \frac{c}{4\times {{10}^{-7}}}\left( \frac{1}{4}-\frac{1}{6} \right)\] \[\Rightarrow \]               \[\frac{h}{e}=\frac{12\times {{10}^{-7}}}{3\times {{10}^{8}}}=4\times {{10}^{-15}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner