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

Question

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

Infinity Learn · Accepted Answer

$$R=l3$$ $$i=3q2$$πω$$=3q$$ω$$2$$πμ$$magnetic=3q$$ω$$2$$π.π$$R2=3q$$ω$$R22Angular$$ momentum $$=$$ $$(3m)R2$$ωMagnetic  momentAngular  $$momentum=q2m$$

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