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# A particle of charge q and mass m moves in a circular orbit of radius r with angular speed ω. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends onω and qω, q and mq and mω and m

A
ω and q
B
q and m
C
ω, q and m
D
ω and m
Solution
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#### The angular momentum L of the particle is given by L=mr2w where w=2πn.∴ Frequency n=w2π;Further i=q×n=wq2πMagnetic Moment, M=iA=wq2π×πr2;∴M=wqr22So, ML=wqr22mr2w=q2mThus the required ratio depends upon both q and m.

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