Cyclotron Frequency

Force Balance: The magnetic force ( $q v B$ ) provides the centripetal force ( $m v^{2} / r$ ) for circular motion.
- $q v B = \frac{m v ^{2}}{r} ⟹ \frac{v}{r} = \frac{qB}{m}$ .
Definitions: Angular frequency $ω$ is defined as $v / r$ .
Substitute: $ω = \frac{qB}{m}$ .
Frequency ( $f$ ): Note that $f = \frac{ω}{2 π} = \frac{qB}{2 πm}$ .
Key Property: The frequency is independent of the speed or radius of the particle.

This medium difficulty physics question is from the chapter magnetic effects and magnetism, covering the topic of cyclotron frequency. It appeared in the 2025 exam.

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Cyclotron Frequency

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