MagnetismHard

Question

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. and K = m2πvR2
B. and K = 2mπ2v2R2
C. and K = m2πvR2
D. and K = 2mπ2v2R2

Solution

      .....(i)

= 2mπ2v2R2

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