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NEET 2009
Exam
NEET
Year
2009
Subject
Physics
Chapter
Magnetic Effects of Current

NEET 2009 · Physics · Magnetic Effects of Current

Under the influence of a uniform magnetic field, a charged particle...

Under the influence of a uniform magnetic field, a charged particle moves with constant speed vv in a circle of radius RR. The time period of rotation of the particle

Options

  1. Adepends on vv and not on RR
  2. Bdepends on RR and not on vv
  3. Cis independent of both vv and RR
  4. Ddepends on both vv and RR

Correct answer

C. is independent of both vv and RR

Step-by-step solution

The time period of circular motion of the charged particle is given by T=2πrv=2πv×mvBqT=2πmBq\begin{aligned} & \mathrm{T}=\frac{2 \pi \mathrm{r}}{\mathrm{v}}=\frac{2 \pi}{\mathrm{v}} \times \frac{\mathrm{mv}}{\mathrm{Bq}} \\ & \mathrm{T}=\frac{2 \pi \mathrm{m}}{\mathrm{Bq}} \end{aligned} Hence, time period of rotation of the charged particle in uniform magnetic field is independent of both vandRv and R.
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