JEE Main · PhysicsHard

A metal rod of length rotates with angular velocity about an axis passing through one end and perpendicular to the rod in a uniform magnetic field directed parallel to the axis of rotation. What is the induced emf across the ends of the rod?

  1. A.
  2. B.
  3. C.
  4. D.
Show correct answer & step-by-step solution

Correct answer: C

Solution

The motional emf is . Here is in the plane of rotation and is perpendicular to the plane, so is radial. However, the path is along the rod, making the dot product zero.

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