A particle of charge q and mass m, moving with a constant speed v, perpendicular to a constant magnetic field B, follows a circular path. If in this case the angular momentum about the center of this circle is quantized so that mur = 2nh, show that the allowed radii for the particle are 2nh V qB where n = 1, 2, 3,....

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A particle of charge q and mass m, moving with a constant
speed v, perpendicular to a constant magnetic field B, follows
a circular path. If in this case the angular momentum about
the center of this circle is quantized so that mur = 2nh, show
that the allowed radii for the particle are
2nh
V qB
where n = 1, 2, 3,....
Transcribed Image Text:A particle of charge q and mass m, moving with a constant speed v, perpendicular to a constant magnetic field B, follows a circular path. If in this case the angular momentum about the center of this circle is quantized so that mur = 2nh, show that the allowed radii for the particle are 2nh V qB where n = 1, 2, 3,....
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