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Question

An insulating rod of length l carries a charge q distributed uniformly on it. The rod is pivoted at its one end and is rotated with angular velocity ω about a fixed axis perpendicular a rod and passing through the pivot. The magnetic moment of system is

A
qωl212
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B
qωl224
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C
qωl23
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D
πqFl26
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Solution

The correct option is A πqFl26
Consider a small element at a distance xx of small width dx.dx.
Magnetic moment of the small element is-
dm=(qldx)ω2ππr2Integratingfroml2tol2givethefinalanswer.HenceoptionDiscorrectanswer.

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