Solved: Consider a particle of mass m, charge q, and

Chapter 31, Problem 85

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Consider a particle of mass m, charge q, and constant speed v moving perpendicular to a uniform magnetic eld of magnitudeB, as shown in Figure3132. The particle follows a circular path. Suppose the angular momentum of the particle about the center of its circular motion is quantized in the following way: , where , and . a. Show that the radii of its allowed orbits have the following values:b. Find the speed of the particle in each allowed orbit

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