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Moving Charges and Magnetism question

2009 · Q137
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Moving Charges and Magnetism question

2009 · Q137

NEETPhysicsMoving Charges and MagnetismMCQ+4 / −1
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
  1. A
    depends on R and not on v
  2. B
    is independent of both v and R
  3. C
    depends on both v and R
  4. D
    depends on v and not on R
View written solutionFree

Correct answer: B

For the circular motion in a cyclotron,

qvB=mv2r⇒qB=mω=m×2πTqvB = {{m{v^2}} \over r} \Rightarrow qB = m\omega = {{m \times 2\pi } \over T}qvB=rmv2​⇒qB=mω=Tm×2π​

∴T=2πmqB \therefore T = {{2\pi m} \over {qB}}∴T=qB2πm​ is independent of v and r.

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