The angular frequency of a particle of charge q and mass m moving in a cyclotron with magnetic field B is

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: NCERT Class 12 Physics Ch 4 "Moving Charges and Magnetism", §4.4.2_