MHT CET 2023 Physics question

PhysicsElectromagnetic InductionMHT CET 2023

A horizontal wire of mass 'm' length '' and resistance 'R' is sliding on the vertical rails on which uniform magnetic field 'B' is directed perpendicular. The terminal speed of the wire as it falls under the force of gravity is (g = acceleration due to gravity)

Answer: (D)

Solution

As the wire falls with speed , the induced emf is , the induced current is , and the magnetic force opposing the motion is . The speed becomes terminal when this force balances the weight:

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Question ID VK-098257