MHT CET 2022 Physics question
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 induced e.m.f. between the rim and axis of the disc is (magnitude only)
Answer: (D)
Solution
Consider a thin radial element at distance from the axis; its linear speed is , so the motional emf across it is . Integrating from the axis to the rim:
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