Cyclotron

2012 AIPMT-PRE 1 question

1. 1 Moving Charges and Magnetism
   An alternating electric field, of frequency $\nu$, is applied across the dees (radius = R) of a cyclotron that is being used to accelerate protons (mass = m). The operating magnetic field (B) used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by
   A $B = \frac{m\nu}{e}$ and $K = m^2\pi\nu R^2$ B $B = \frac{m\nu}{e}$ and $K = 2m\pi^2\nu^2R^2$ C $B = \frac{2\pi m\nu}{e}$ and $K = m^2\pi\nu R^2$ D $B = \frac{2\pi m\nu}{e}$ and $K = 2m\pi^2\nu^2R^2$
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