MCQ
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
    $\lambda \frac{m}{M}$
  • $\lambda \sqrt {\frac{m}{M}} $
  • C
    $\lambda \frac{M}{m}$
  • D
    $\lambda \sqrt {\frac{M}{m}} $

Answer

Correct option: B.
$\lambda \sqrt {\frac{m}{M}} $
b
(b) $\lambda = \frac{h}{{\sqrt {2mE} }}$

==> $\lambda \propto \frac{1}{{\sqrt m }}$($E =$ same)

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