Consider a beam of electrons in a vacuum, passing through a verynarrow slit of width 2.00?m. The electrons then headtoward an array of detectors a distance 1.080m away. Thesedetectors indicate a diffraction pattern, with a broad maximum ofelectron intensity (i.e., the number of electrons received in acertain area over a certain period of time) with minima of electronintensity on either side, spaced 0.508cm from the center of thepattern. What is the wavelength ? of one of the electronsin this beam? Recall that the location of the first intensityminima in a single slit diffraction pattern for light isy=L?/a, where L is thedistance to the screen (detector) and a is the width ofthe slit. The derivation of this formula was based entirely uponthe wave nature of light, so by de Broglie's hypothesis it willalso apply to the case of electron waves.
Express your answer in meters to three significantfigures.
