Radiation produced by accelerating charges

AI Thread Summary
To calculate the wavelength of radiation produced by a proton in a cyclotron, first determine the proton's velocity by equating the magnetic and centripetal forces. Next, use this velocity along with the radius of 0.500 m to find the period (T) of the proton's rotation. The frequency (f) can then be calculated using the formula f = 1/T. Finally, apply the wave equation, wavelength = c/f, to find the wavelength of the radiation. This process effectively combines principles of electromagnetism and wave mechanics.
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Hey, I am doing a question for a physics assignment, and it asks me to find the "wavelength of radiation produced by a proton in a cyclotron with a radius of 0.500 m and magnetic field with a magnitude of 0.200 T." Unfortunately the textbook doesn't give me an equations that have anything to do with frequency or wavelength of radiation from accelerating particles. Any help would be just wonderful.
 
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1. Find the required velocity of the proton by equating magnetic and centripital forces.

2. Given velocity and radius find the period (T) of each rotation.

3. Use f = 1/T and wavelenght = c/f
 
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