An alternating electric field, of frequency ν, is applied across the dees (radius = R ) of a cyclotron that is being used to accelerate protons (mass…

An alternating electric field, of frequency $\displaystyle \nu$, is applied across the dees (radius $\displaystyle =\mathrm{R}$ ) of a cyclotron that is being used to accelerate protons (mass $\displaystyle =\mathrm{m}$). The operating magnetic field (B) used in the cyclotron and the kinetic energy $\displaystyle (\mathrm{K})$ of the proton beam, produced by it, are given by :