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The minimum velocity v with which charge q should be projected so that it manages to reach the centre of the ring starting from the position shown in figure is

Options

  1. Av = k Q q m R 2 - 2
  2. Bv = k Q q 2 m R 2 - 2
  3. Cv = k Q q m R
  4. Dv = k Q q 2 m R 1 - 2

Correct answer

A. v = k Q q m R 2 - 2

Step-by-step solution

U i + K i = U f + K f k Q q 2 R + 1 2 m v 2 = k Q q R + O 1 2 m v 2 = k Q q R 1 - 1 2 v = 2 k Q q m R 1 - 1 2 v = k Q q m R 2 - 2

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