BCECE Medical BCECE Medical Solved Papers-2014

  • question_answer
    An electron and a photon have equal energy\[{{E}_{K}}\]. Then, the ratio of wavelengths of photon and electron is \[\left( \frac{{{\lambda }_{photon}}}{{{\lambda }_{electron}}} \right)\]

    A)  \[\frac{\sqrt{{{E}_{K}}}}{2}\]

    B)  \[\frac{1}{\sqrt{2{{E}_{K}}}}\]

    C)  \[\frac{1}{\sqrt{{{E}_{K}}}}\]

    D)  \[\frac{\sqrt{3{{E}_{K}}}}{2}\]

    Correct Answer: C

    Solution :

    \[{{\lambda }_{photon}}=\frac{hc}{{{E}_{k}}}\] \[{{\lambda }_{electron}}=\frac{hc}{\sqrt{2m{{E}_{k}}}}\] \[\frac{{{\lambda }_{photon}}}{{{\lambda }_{electron}}}=\frac{1}{\sqrt{{{E}_{k}}}}\]


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