Magnetics 4 Question 8

9. 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 on

(2000, 2M)

(a) ω and q

(b) ω,q and m

(c) q and m

(d) ω and m

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Answer:

Correct Answer: 9. (c)

Solution:

  1. Ratio of magnetic moment and angular momentum is given by

ML=q2m

which is a function of q and m only. This can be derived as follows,

M=iA=(qf)(πr2)=(q)ω2π(πr2)=qωr22

and

L=Iω=(mr2ω)

ML=qωr22mr2ω=q2m



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