An alternating electric field, of frequency v, 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:

Options

A. `(2 pi mv)/(e),2pi^(2)mv^(2)R^(2)`
B. `(2 pi^(2)mv)/(e^(2)),4pi^(2) mv^(2)R^(2)`
C. `(pi mv)/(e),pi^(2)mv^(2)R^(2)`
D. `(2pi^(2)m^(2)v^(2))/(e),2pi^(2)m^(2)v^(2)R^(2)`

Answer

A