Information: Consider a 'Young's slits' experiment for an electron. We are going to generate an appropriate electron wave for our experiment by rst...
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Please use the given information/instructions to provide a response to each part of the given problem. Please provide all reasonings or methods you use to better my understanding. Please use a clear format and box all finals responses and explanations. Thanks! Please do not repost the work nor PDFs of other posts. Let me know if there are any questions!! :)IMG_0584.jpg

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Information: Consider a "Young's slits" experiment for an electron. We are going to generate an appropriate electron wave for our experiment by first starting off with some electrons that we somehow manage to generate with essentially zero kinetic energy (for example by managing to emit them from a metal "cathode" by the photoelectric effect at a carefully chosen optical wavelength, though the details of this do not matter for our question). Then we are going to accelerate them towards a "mask" (which would also be the "anode" in this experiment) using an appropriate electrostatic potential (voltage) Va. (For example, the metal from which we emit the electrons might be at 0V, and the mask itself might be a metal held at a voltage Va.) The mask has two very narrow, parallel slits cut in it, separated by 10 um, and is otherwise opaque to the electrons (i.e., electrons can only pass through the slits). (The whole apparatus here is in a vacuum.) Question: We want to form an interference pattern on a screen, parallel to the mask plane, and at a distance 1 m from the mask (on the other side from the electron source). What voltage Va should we apply if the separation between the "bright" fringe peaks on the screen is to be 0.5 mm?

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Subject: Physics, Science
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