A particle of the charged `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

Options

A. `omega` and `q`
B. `omega` `q`and `m`
C. `q`and `m`
D. `omega`and `m`

Answer

C

Explanation

The effective current `i=(qomega)/(2pi)` and `A=pir^(2)`
Magnetic moment `M=iA-(1)/(2)qomegar^(2)`
Angular moment `L=Iomega=mr^(2)omegaimplies(M)/(L)=(q)/(2m)`