Q.
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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a
Ï and q
b
Ïq and m
c
q and m
d
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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