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Motional EMF and Terminal Velocity

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A conducting rod of mass m slides without friction down two parallel conducting rails inclined at an angle of 30° with the horizontal. The rails are a distance L apart and are connected at the bottom by a resistor of resistance R. A uniform magnetic field B is directed perpendicular to the plane of the rails. Which of the following expressions represents the terminal velocity of the rod?

A

mgRsin⁡(30∘)B2L2\frac{mgR\sin(30^\circ)}{B^2L^2}

B

mgRBLsin⁡(30∘)\frac{mgR}{BL\sin(30^\circ)}

C

mgsin⁡(30∘)BL\frac{mg\sin(30^\circ)}{BL}

D

mgRB2L2sin⁡(30∘)\frac{mgR}{B^2L^2 \sin(30^\circ)}

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