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) B = mv / e and K = 2m π²v²R²
(b) B = 2πmv / e and K = m² πvR²
(c) B = 2πmv / e and K = 2m π²v²R²
(d) B = mv / e and K = m² πvR²

Correct Answer:

B = 2πmv / e and K = 2m π²v²R²

Explanation:

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