An alternating electric field, of frequency $f$, is applied across the dees $(\, radius \,\approx\, R)$ of a cyclotron that is being used to accelerate protons $(\,mass \,\approx \, m).$ 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$B = \frac{{mf}}{e}$ ,$K = 2m{\pi ^2}{f^2}{R^2}$
  • B$\;B = \frac{{2\pi mf}}{e}$ ,$K = \pi {m^2}{f^{}}{R^2}$
  • C$B = \frac{{2\pi mf}}{e}$ ,$K = 2m{\pi ^2}{f^2}{R^2}$
  • D$B = \frac{{mf}}{e}$ ,$K = \pi {m^2}{f^{}}{R^2}$
AIPMT 2012, Medium
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