Draw a schematic sketch of a cyclotron. Explain, giving the essential detail of its construction, how it is used to accelerated a charged particle.

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

Statement : I The velocity of ejection of a charged particle, being accelerated in a cyclotron remains constant irrespective of the applied magnetic field. Statement : II In a cyclotron the charged particle is accelerated only due to the applied electric field because magnetic force is a no-work force.

The equation x= A sin omega t gives the relation between the time t and the corresponding displacement x of a moving particle where A and omega are constant. Prove that the acceleration of the particle is proportional to its displacement and is directed opposite to it.

An alpha -particle and a proton are released from the centre of a cyclotron and made to accelerate. Can both be accelerated at the same cyclotron frequency ? Give reason to justify your answer.

Can the directions of velocity and acceleration be opposite to each other? Explain with examples. Or,Can the velocity of a particle be towards east but its acceleration towards west?

Explain the generation of the positively charged particle in the discharge tube when hydrogen gas is used.