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A point charge q is placed at a distance of R from the centre of a conducting shell of inner radius 2 R and outer radius 3 R . The electric potential at the centre of the shell will be

Options

  1. A1 4 πε 0 q 2 R
  2. B1 4 πε 0 4q 3 R
  3. C1 4 πε 0 5 q 6 R
  4. D1 4 πε 0 5q 3 R

Correct answer

C. 1 4 πε 0 5 q 6 R

Step-by-step solution

The induced charges will be - q and + q as shown in the figure. The potential at the centre O will be V 0 = 1 4 πε 0 q R - q 2 R + q 3 R = 1 4 πε 0 5 q 6 R

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