A particle of charge q and mass m moves in a circular orbit of radius r with angular speed Ï. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

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Ï and q

Ïq and m

q and m

Ï and m

answer is C.

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Detailed Solution

The magnetic moment of a charged particle moving in circular orbit is given bypm=iA=qTÃÏr2=qÃÏr2(2Ï/Ï)or pm=qÃÏr2ÃÏ2Ï=qÏr22 â¦(1)The angular momentum L is given byL=IÏ=mr2Ï â¦.(2)Dividing eq. (t) by eq. (2), we getpmL=q2mSo, the ratio of magnetic moment to angular momentum depends on q and m.

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