Question

Accelerating charges radiate electromagnetic waves. Calculate the wavelength of radiation produced by a proton in a cyclotron with a magnetic field of 0.327 T.

Answer in m

Answer 1

Solution:

Using the fallowing relation, find the frequency of the cyclotron,

f = qB/2m

Now substitute the values of charge , mass of proton and B given ,

f = 1.602*10^-19*0.327/2*1.67*10^-27.

= 5.00*10⁶ Hz.

Now, Using the relation of planks frequency,

f = c/

= c/f

= 3*10⁸/5*10⁶

= 60.09071 m

= 60.1 m.

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