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If the protons and electrons are moving at the same velocity, it would mean that the protons have a shorter wavelength. However, if they are moving at the same momentum it would mean they have the same wavelength.
Yes, I think that if a proton and neutron had the same wavelength, they would have the same velocity. You can use De Broigle's to determine that wavelength = h/p which is the same as: wavelength = h/mv. v=h/(m*wavelength) and the mass of a proton and neutron are the same. If the wavelength is also the same, the velocity of both will be the same.
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