alleryA cyclotron operates at frequency f in a magnetic field B. The charge-to-mass ratio of the accelerated ion is
A2πf/B
Bf/B
CBf/(2π)
D2πfB
Answer & Solution
Correct answer: A. 2πf/B
1. The cyclotron frequency is f = qB/(2πm).
2. Rearrange to isolate q/m: q/m = 2πf/B.
3. So the ratio is determined jointly by the operating frequency and the applied field.
4. This is how cyclotron data give an independent measurement of q/m for ions.
_Source: syllabus Physics Ch 4 "Moving Charges and Magnetism", §4.4.2_
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