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

`M = iA = i.pi r^(2) = (q)/(2pi//omega).pi r^(2) = (q omega r^(2))/(2)`
`L = I omega = m r^(2) omega`
`I`: moment of inertia
`(M)/(L) = (q)/(2 m)`