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Two spherical conductors of radii 4 m and 5 m are charged to the same potential. If σ 1 and σ 2 be the respective values of the surface density of charge on the two conductors, then the ratio σ 1 σ 2 is

Options

  1. A25 16
  2. B16 25
  3. C5 4
  4. D4 5

Correct answer

C. 5 4

Step-by-step solution

σ 1 σ 2 = Q 1 Q 2 ×   R 2 2 R 1 2 ,   V = σ   R V = s a m e ,   σ ∝   1 R σ 1 σ 2 = 5 4

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