STANDARD Physics Motion of Charged Particles in Magnetic Field MCQ Question
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
Detailed Explanation
The centripetal force of the charged particle is provided by the magnetic force acting on the particle. Hence, qvB = mv²/r, leading to r/v = m/qB. Therefore, the time period of the rotation of the particle is T = 2πr/v = 2πm/qB, which is independent of both v and R.
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