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Wave and Particle Motion of Waves

Describe the ...

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Describe the motion of a charged particle in a cyclotron if the frequency of the radio frequency (rf) field were doubled.

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Q. A charged particle is moving in a cyclotron, what effect on the radius of path of this charged particle will occur when the frequency of the radio frequency field is doubled?

Q. Write the working of cyclotron in brief. Draw a schematic sketch of the cyclotron showing path of accelerated charged particles (ions) in both Dees.
Derive the following parameters of cyclotron:
(a) Cyclotron frequency and
(b) Kinetic energy of ions of cyclotron.

Q. For a charged particle of charge

q

m

undergoing uniform circular motion in a uniform perpendicular magnetic field

B

v

, the angular frequency of the charged particle is independent of

[

]

Q. (a) Deduce an expression for the frequency of revolution of a charged particle in a magnetic field and show that it is independent of velocity or energy of the particle.

(b) Draw a shematic sketch of a cyclotron. Explain, giving the essential details of its construction, how it is used to accelerate the charged particles.

Q. In a cyclotron the AC potential difference is V and frequency is f. The increase in energy of particle of charge q in one revolution will be

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Wave and Particle Motion of Waves

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