A photon and an electron have the same energy \( E \). If \( \lambda_p \) is the wavelength of the photon and \( \lambda_e \) is the de Broglie wavelength of the electron, then the ratio \( \frac{\lambda_p}{\lambda_e} \) is:
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Use the relations \( E = \frac{hc}{\lambda_p} \) for photons and \( \lambda_e = \frac{h}{\sqrt{2mE}} \) for electrons to find the wavelength ratio.