JEE Main · PhysicsHard

A thin ring of radius carries a charge distributed uniformly. A point charge is placed at the center of the ring. If the ring is slightly displaced along its axis, what is the frequency of oscillation?

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

Correct answer: A

Solution

  1. The electric field on the axis of a ring at distance is .
  2. For small , .
  3. The restoring force is .
  4. The angular frequency is , so .
  5. Hence the answer is (A).

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