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Paragraph: A particle of charge q and mass m is clamped rigidly at the circumference of a ring with mass m and radius R . Initially ring is in vertical plane resting on a sufficiently rough horizontal surface with charge q at the same horizontal level as that of the centre of the ring. There exists uniform horizontal electric fields as shown. At t =0 the system is let free. (Given that qE = mg , = 22 7 ) Question: Wo

Options

  1. A11 28 Rg
  2. B2 28 Rg
  3. C4 28 Rg
  4. D11 56 Rg

Correct answer

A. 11 28 Rg

Step-by-step solution

After 90^ rotation. Using work energy theorem 4 7 mgR + mgR = 1 2 I _ A ^2 ; 11 7 ~g R = ; v _ com = R 2 = 11 7 ~g R R ^2 4 = 11 28 Rg .

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