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

Magnetic Moment, `M = IA = q/T xx pi r^(2)`
`M = q/(2 pi//omega) xx pi r^(2) = (q omega r^(2))/2`
Angular momentum , `L = mr^(2) omega`
`rArr " " M/L = q/(2m)`
The ratio of magnetic moment to that of its angular momentum is `q//2m` hence it depends on q and m. Hence, option (c) is correct.