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Under the influence of a uniform magnetic field, a charged particle moves with constant speed v in a circle of radius R. The time period of rotation of the particle:
- depends on R and not on v
- is independent of both v and R
- depends on both v and R
- depends on v and not on R
Correct answer: is independent of both v and R
Solution
The time period of a charged particle in a uniform magnetic field is given by T = 2πm / (qB), which is independent of both the speed (v) and the radius (R). It depends only on the charge, mass of the particle, and the magnetic field.
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