The angular momentum L of the particle is given by L=mr2w
where w=2πn.
∴ Frequency n = w/2π
Further i = q × n = wq/2π
Magnetic Moment, M = iA = wq/2π × πr2
∴ M = wqr2/2
So, M/L = wqr2/2mr2w = 2mq
Thus, the required ratio depends upon both q and m.
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Physics