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A particle of mass 1 kg and charge 1 3 μC is projected towards a non conducting fixed spherical shell having the same charge uniformly distributed on its surface. The minimum initial velocity V 0 of projection of particle required if the particle just grazes the shell is

Options

  1. A2 3   m   s - 1
  2. B2   2 3   m   s - 1
  3. C2 3   m   s - 1
  4. D1   m   s - 1

Correct answer

B. 2   2 3   m   s - 1

Step-by-step solution

From conservation of angular momentum, mv 0 r 2 = mvr            ⇒ v = v 0 2 From conservation of energy, 1 2 mv 0 2 = 1 2 mv 2 + 1 4   π   ϵ 0 q 2 r v 0 = 8 3   m   s - 1

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