Question

A particle of charge q and mass m moves in a circular orbit of radius r with angular speed $\omega$. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

• A. $\omega andq$
  
• B. $\omega qandm$
  
• C. $qandm$
  
• D. $\omega andm$

Answer 1

The correct option is C $qandm$


The effective current $i=\frac{q\omega }{2\pi }$ and $A=\pi r^2$.
Magnetic moment $M=iA=\frac{1}{2}q\omega r^2$
Angular moment $L=I\omega =m{r}^2\omega \Rightarrow \frac{M}{L}=\frac{q}{2m}$