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NEET 2012 Physics question

PhysicsMoving Charges and MagnetismNEET 2012

An alternating electric field, of frequency , is applied across the dees (radius ) of a cyclotron that is being used to accelerate protons (mass ). The operating magnetic field () used in the cyclotron and the kinetic energy () of the proton beam, produced by it, are given by

Answer: (4)

Solution

Resonance condition: the frequency of the applied alternating field equals the cyclotron (revolution) frequency of the proton, , so . The proton leaves the dees at radius with speed , so .

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Question ID VK-091292