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Two isolated conducting spheres S 1 and S 2 of radius 2 3 R and 1 3 R have 12 μ C and - 3 μ C charges, respectively, and are at a large distance from each other, They are now connected by a conducting wire. A long time after this is done the charges on S 1 and S 2 are respectively:

Options

  1. A4 . 5   μ C   of   both
  2. B+ 4 . 5   μ C   and   - 4 . 5   μ C
  3. C3   μ C   and   6   μ C
  4. D6   μ C   and   3   μ C

Correct answer

D. 6   μ C   and   3   μ C

Step-by-step solution

Total charge = 12 - 3 = 9   μ C If final charges are q 1 and q 2 q 1 q 2 = R 1 R 2 = 2 1 q 1 = 6   μ C q 2 = 3   μ C

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