$A$ photon and an electron (mass $m$) have the same energy $E$. The ratio $\left(\frac{\lambda_{\text{photon}}}{\lambda_{\text{electron}}}\right)$ of their de Broglie wavelengths is: ($c$ is the speed of light)

  • A
    $\sqrt{E / 2m}$
  • B
    $c \sqrt{2mE}$
  • C
    $c \sqrt{\frac{2m}{E}}$
  • D
    $\frac{1}{c} \sqrt{E / 2m}$

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The de-Broglie wavelength is proportional to

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