alleryThe angular frequency of a particle of charge q and mass m moving in a cyclotron with magnetic field B is
AqB/m
Bm/(qB)
C2πqB/m
DqBR/m
Answer & Solution
Correct answer: A. qB/m
1. The magnetic force provides centripetal force: qvB = mv²/r.
2. Solving for angular velocity ω = v/r gives ω = qB/m.
3. This frequency is independent of speed and radius (the cyclotron resonance condition).
4. Note: the linear frequency is f = ω/(2π) = qB/(2πm).
_Source: syllabus Physics Ch 4 "Moving Charges and Magnetism", §4.4.2_
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