Double-Slit Experiment With Various Energy Particles

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StevieTNZ
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http://www.youtube.com/watch?v=n-7DsLR5wtk&list=PLE7AE1B2E44908250&index=7

At 1:57, James Binney describes the two-slit experiment with an electron gun. He mentions the electron gun fires electrons at one well-defined tuned energy.

My question is if we fire each electron one by one to the slits and screen, would we get the same result if each time the electron's energy was different to the previous electron fired from the gun?
 
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Electrons with different energies have different wavelengths. Therefore the result of a double-slit experiment using electrons with a range of wavelengths would be similar to one using light with a range of wavelengths, e.g. "white" light.