A beam of (10 mathrm{keV}) photons is directed at a double-slit system and the interference pattern is
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A beam of \(10 \mathrm{keV}\) photons is directed at a double-slit system and the interference pattern is measured on the detecting plane. The wavelength of these photons is less than the slit separation. Then electrons are accelerated so their (nonrelativistic) kinetic energies are also \(10 \mathrm{keV}\); these electrons are then directed at the same double-slit system, and their interference pattern is measured on the same detecting plane. If the distance between two adjacent photon interference maxima on the detecting screen is \(y_{0}\), what is the distance between two adjacent electron interference maxima? (Note that the mass energy of an electron is \(0.5 \mathrm{MeV}\).)
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