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Question: Answered & Verified by Expert
An electron of charge $e$ and mass $m$ is moving in a circular of radius $r$ with a uniform angular speed $\omega .$ Then which of the following statements are correct?
PhysicsRotational MotionWBJEEWBJEE 2013
Options:
  • A The equivalent current flowing in the circular path is proportional to $r^{2}$
  • B The magnetic moment due to circular current loop is independent of m
  • C The magnetic moment due to circular current loop equal to $2 e / m$ times the angular momentum of the electron,
  • D The angular momentum of the particle is proportional to the areal velocity of electron.
Solution:
2954 Upvotes Verified Answer
The correct answers are: The magnetic moment due to circular current loop is independent of m, The angular momentum of the particle is proportional to the areal velocity of electron.
Magnetic moment, $m=IA$ $=\frac{e v}{2 \pi f} \times \pi r^{2}=\frac{e v r}{2}$
Angular momentum $=2 m \frac{d A}{d t}$

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