JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Topic Test - Photo Electric Effect, X-Rays & Matter Waves

  • question_answer
    An electron of mass m when accelerated through a potential difference V has de-Broglie wavelength \[\lambda \]. The de-Broglie wavelength associated with a proton of mass M accelerated through the same potential difference will be

    A) \[\lambda \frac{m}{M}\]

    B) \[\lambda \sqrt{\frac{m}{M}}\]

    C) \[\lambda \frac{M}{m}\]

    D) \[\lambda \sqrt{\frac{M}{m}}\]

    Correct Answer: B

    Solution :

    [b] \[\lambda =\frac{h}{\sqrt{2mE}}\] \[\Rightarrow \] \[\lambda \propto \frac{1}{\sqrt{m}}\] (E = same)

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