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1)

 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


A) ω and q

B) ω, q, and m

C) q and m

D) ω and m

Answer:

Option C

Explanation:

 The angular momentum L of the particle is given by

 L=mr2ω   where  ω=2πn

   Freequency n= ω2π

 Further  i=q×n=ωq2π

 Magnetic momemt ,  M=iA=ωq2π×πr2

     M=ωqr22

So,  ML=ωqr22mr2ω=q2m