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)

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.

(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?