Two particles each of mass ‘m’ and charge ‘q’ are attached to the two ends of a light rod of length ‘2l’. The rod is rotated at a constant angular speed ‘w’ about a perpendicular axis passing through its center. The ratio of magnitudes of the magnetic moments of the system to its angular momentum will be
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a
qm
b
q2m
c
2qm
d
qπm
answer is B.
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Detailed Solution
Current in loop, i=Qt=2q2πrv=2qv2πr=qωπMagnetic Moment, M=iA=qωππl2=qωl2Angular Momentum, L=Iω=2ml2ωRatio =ML=qωl22ml2ω=q2m