A cyclotron with dee radius 53.0 cm is operated at an oscillatorfrequency of 12.0 MHz to accelerate protons. (a)What magnitudeB of magnetic field is required to achieve resonance? (b) Atthat field magnitude, what is the kinetic energy of a proton emergingfrom the cyclotron? Suppose, instead, that B = 1.57 T. (c) Whatoscillator frequency is required to achieve resonance now? (d) Atthat frequency, what is the kinetic energy of an emerging proton?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter31: Particle Physics
Section: Chapter Questions
Problem 55P
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A cyclotron with dee radius 53.0 cm is operated at an oscillator
frequency of 12.0 MHz to accelerate protons. (a)What magnitude
B of magnetic field is required to achieve resonance? (b) At
that field magnitude, what is the kinetic energy of a proton emerging
from the cyclotron? Suppose, instead, that B = 1.57 T. (c) What
oscillator frequency is required to achieve resonance now? (d) At
that frequency, what is the kinetic energy of an emerging proton?

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