CYCLOTRON

A proton of charge e and mass "m" is accelerated in a cyclotron having an oscillator frequency f.The magnetic induction of the field in the cyclotron is B.If the radius of the D's is r ,the kinetic energy of the protons that come out of the cyclotron is

The radius of dees in a cyclotron is 1.9 m and the magnetic field applied on the cyclotron is 0.8 T. Calculate the energy gained by an emergent proton in cyclotron in keV. Mass of proton is 1.67 xx 10^(-27) kg.

A cyclotron is used to acclerate protons to a kinetic energy of 5 MeV. If the radius and the frequency field in the cyclotron is 2T. Find the radius and the frequency needed for the applied alternating voltage of the cyclotron. (Given : Velocity of proton =3xx10^(7)m//s)

(i) Obtain the expression for the cyclotron frequency. (ii) A deutron and a proton are accelerated by the cyclotron. Can both the accelerated with the same oscillator frequency ? Give greason to justify your answer.

In a cyclotron the radius of dees is R and the applied magnetic field has a magnitude of B. Particles having charge q and mass m are accelerated using this cyclotron and the maximum kinetic energy that can be imparted to a particle is k. (a) Find k in terms of R, B, q and m. (b) If protons and alpha particles are accelerated using this cyclotron which particle (proton or alpha) will gain more kinetic energy? (c) Can we use a cyclotron to impart very high kinetic energy to an electron?

Draw a neat and labelled diagram of a cyclotron. State the underlying principle and explain how a positively charged particle gets accelerated in this machine. Show mathematically that the cyclotron frequency does not depend upon the speed of the particle.