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MHT CET202122 Sep 2021Evening ShiftPhysicsElectrostaticsActual

Two spherical conductors of radii 4 ~cm and 5 ~cm are charged to the same potential. If ' ₁ ' and ' ₂ ' be the respective value of the surface density of charge on the two conductors then the ratio ₁: ₂ is

Options

  1. A5:4
  2. B3:2
  3. C4:3
  4. D2:1

Correct answer

A. 5:4

Step-by-step solution

Spheres are at the same potential aligned & V = 1 4 ₀ q ₁ r ₁ = 1 4 ₀ q ₂ r ₂ & q ₁ q ₂ = r ₁ r ₂ & ₁= q ₁ 4 r ₁^2 , ₂= q ₂ 4 r ₂^2 & ₁ ₂ = q ₁ q ₂ r ₂^2 r ₁^2 = r ₁ r ₂ r ₂^2 r ₁^2 = r ₂ r ₁ = 5 4 aligned

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