MHT CET 2023 Physics question

PhysicsElectromagnetic InductionMHT CET 2023

A metal disc of radius 'R' rotates with an angular velocity '' about an axis perpendicular to its plane passing through its center in a magnetic field of induction 'B' acting perpendicular to the plane of the disc. The magnitude of induced e.m.f. between the rim and axis of the disc is

Answer: (D)

Solution

Consider a thin radial element at distance from the axis. Its speed is , so the motional emf across it is . Integrating from the axis to the rim, , option (d).

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Question ID VK-097812