Draw a schematic diagram of a cyclotron. Explain the underlying principle and working , stating clearly the function of the electric and magnetic fields applied to the charged particle. Deduce an expression for the period of revolution and show that it does not depend upon the speed of the charged particle.

Draw a schematic sketch of a cyclotron. Explain clearly the role of crossed electric and magnetic field in accelerating the charge. Hence derive the expression for the kinetic energy acquired by the particles.

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.

Discuss the circular motion of a charged particle under the action of a magnetic field. Hence, find expression for its time period.

A particle with charge q moving with a velocity v in the plane of the paper enters a uniform magnetc field B, acting perpendicular to the plane of the paper. Deduce an expression for the tie period of the charge, as it moves in a circular path in the field. Why does the kinetic energy of the charge not change, while moving in the magnetic field?

A particle of mass m, with charge q moving with a uniform speed v, normal to a uniform magnetic field B, describes a circular path of radius r. Derive expression for the time period of revolution?

Find the freqency of electric field to be applied between the does of a cylotron to accelerate charged particles by it.