If light shines on two narrow parallel slits separated by a distance d, it produces a diffraction pattern on a screen a distance z away with intensity maxima separated by s = zX/d. This will also occur with electrons if the dimensions of the experiment are adequately scaled down. If we have a screen with d = 5µm, z = 50 mm, and observed spacing of the electron maxima s = 3.569 nm, calculate the kinetic energy of the incident electrons. (Hint: remember the de Broglie relation, as well as the relativistic relation between energy and momentum).

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1. If light shines on two narrow parallel slits separated by a distance d, it produces a diffraction pattern
on a screen a distance z away with intensity maxima separated by s = z)/d. This will also occur with
electrons if the dimensions of the experiment are adequately scaled down. If we have a screen with
d = 5µm, z = 50 mm, and observed spacing of the electron maxima s = 3.569 nm, calculate the kinetic
energy of the incident electrons. (Hint: remember the de Broglie relation, as well as the relativistic
relation between energy and momentum).
Transcribed Image Text:1. If light shines on two narrow parallel slits separated by a distance d, it produces a diffraction pattern on a screen a distance z away with intensity maxima separated by s = z)/d. This will also occur with electrons if the dimensions of the experiment are adequately scaled down. If we have a screen with d = 5µm, z = 50 mm, and observed spacing of the electron maxima s = 3.569 nm, calculate the kinetic energy of the incident electrons. (Hint: remember the de Broglie relation, as well as the relativistic relation between energy and momentum).
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