Cyclotron Frequency
Cyclotron frequency for charge q, mass m in magnetic field B is:
Select the correct option:
Solution
qB/m
When a charge enters a magnetic field perpendicularly (v⊥B), it moves in a circle. The magnetic force provides the centripetal force: qvB=rmv2⟹v/r=mqB
- The angular frequency ω=v/r=mqB.
- The frequency f=2πω=2πmqB.
- Note: The frequency is independent of the speed v and radius r of the particle (within non-relativistic limits).
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About This Question
- Subject
- physics
- Chapter
- magnetic effects of current and magnetism
- Topic
- cyclotron frequency
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
qB/m
When a charge enters a magnetic field perpendicularly (v⊥B), it moves in a circle. The magnetic force provides the centripetal force: qvB=rmv2⟹v/r=mqB
- The angular frequency ω=v/r=mqB.
- The frequency f=2πω=2πmqB.
- Note: The frequency is independent of the speed v and radius r of the particle (within non-relativistic limits).
This medium difficulty physics question is from the chapter magnetic effects of current and magnetism, covering the topic of cyclotron frequency. It appeared in the 2025 exam.
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