An electron of charge e and mass m is moving in circular path of radius r with a uniform angular speed .` omega` Then which of the following statements are correct

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 is equal to 2e/m time the angular momentum of the electron
D. The angular momentum of the particle is proportional to the areal velocity of electron

Answer

B, D

Explanation

`I = (q)/(T) = (e omega)/(2pi) = (ev)/(2pir)`
Magnetic moment M = IA = `(ev)/(2pi r) xx pir^(2) = (evr)/(2)` and `L = 2m "" (dA)/(dt)`