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Question

An electron of charge e and mass m is moving in a circular loop of radius r with a uniform angular speed ω. Then which of the following statements are correct?
  1. The equivalent current flowing in the circular path is proportional to r2
  2. The magnetic moment due to circular current loop is independent of m
  3. The magnetic moment due to circular loop is equal to 2e/m times the angular momentum of the electron
  4. The angular momentum of the particle is proportional to the areal velocity of electron

A
The equivalent current flowing in the circular path is proportional to r2
B
The magnetic moment due to circular current loop is independent of m
C
The angular momentum of the particle is proportional to the areal velocity of electron
D
The magnetic moment due to circular loop is equal to 2e/m times the angular momentum of the electron
Solution
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Magnetic moment m=IA
=ev2πr×πr2=evr2
Angular momentum =2mdAdt

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