Consider a beam of electrons in a vacuum, passing through a very narrow slit of width 2.00μm . The electrons then head t

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Consider a beam of electrons in a vacuum, passing through a very
narrow slit of width 2.00μm . The electrons then head toward an
array of detectors a distance 1.066 m away. These detectors
indicate a diffraction pattern, with a broad maximum of electron
intensity (i.e., the number of electrons received in a certain area
over a certain period of time) with minima of electron intensity on
either side, spaced 0.490 cm from the center of the pattern. What
is the wavelength λ of one of the electrons in this beam? Recall
that the location of the first intensity minima in a single slit
diffraction pattern for light is y=Lλ/a , where L is the distance
to the screen (detector) and a is the width of the slit. The
derivation of this formula was based entirely upon the wave nature
of light, so by de Broglie's hypothesis it will also apply to the
case of electron waves.
Express your answer in meters to three significant figures.