Consider an electron undergoing cyclotron motion in a

Chapter 38, Problem 38.108

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Consider an electron undergoing cyclotron motion in a magnetic field. According to Bohr, the electrons angular momentum must be quantized in units of U. a. Show that allowed radii for the electrons orbit are given by rn = 1nU/eB21/2 , where n = 1, 2, 3,. b. Compute the first four allowed radii in a 1.0 T magnetic field. c. Find an expression for the allowed energy levels En in terms of U and the cyclotron frequency fcyc.

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