Question

(1) Cyclotron radiation Free electrons and protons will gyrate, or circle, around magnetic field lines at a frequency fgy equal to JEyrO2T m where B is the magnetic field. q is the charge of the particle, and m is the mass of the particle. Jgyro is call the gyro frequency, and is also called the cyclotron frequency. As we discussed in class, charges which change their velocity will create electromagnetic waves If they change their velocity in a repeating pattern with a period T, they will emit EM waves with period T and frequency f 1/T In a laboratory vacuum chamber, a magnetic field is created with a strength of 10 mT In this chamber, what are the cyclotron frequencies of a proton (fep), neutron (fen), and electron (fce)? What are the frequencies ) and wavelengths () of the electromagnetic cyclotron radio waves emitted within the chamber by a proton, neutron, and electron? Hint: Did you include the charges and masses of protons, neutrons, and electrons on your page of exam notes? If you don't know them, ask the instructor for help.

Answer 1

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