Draw a schmatic sketch of a cyclotron. Explain, giving the essential details of tis contruction, how it is used to accelerate the charged particles.

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.

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.

Explain, by drawing a labelled diagram, how a positively charged particle is accelerated in a cyclotron.

On charging a parallel plate capacitor to a potential V, the spacing between the plates is halved and a dielectric medium of k = 10 is introduced between the plates, without disconnectign the d.c. source. Explain, using the suitable expressions, how the energy density of the capacity of change.

Find the expression for maximum energy of a charged particle accelerated by a cyclotron?

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

Figure 3.23 gives the x-t plot of a particle executing one-dimensional simple harmonic motion. (You will learn about this motion in more detail in Cliapterl4). Give the signs of position, velocity and acceleration variables of the particle at t = 0.3 s, 1.2 s, - 1.2 s.