A cyclotron is operating with a flux density of 3 Wb/m2 . The ion which enters the field is a proton having mass 1.67 × 10–27 kg. If the maximum radius of the orbit of the particle is 0.5m, find :
(a) the maximum velocity of the proton,
(b) the kinetic energy of the particle, and
(c) the period for a half cycle.