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Q.

Three particles each of mass m and charge q are attached to the vertices of a triangular frame, made up of three light rigid rods of equal length l. The frame is rotated at constant angular sped ω  about an axis perpendicular to the plane of the triangle and passing through its centre. The ratio of the magnetic moment of the system and its angular momentum about the axis of rotation is

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a

q2m

b

qm

c

2qm

d

4qm

answer is A.

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Detailed Solution

R=l3 i=3q2πω=3qω2πμmagnetic=3qω2π.πR2=3qωR22Angular momentum = (3m)R2ωMagnetic  momentAngular  momentum=q2m
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