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MHT CET202210 Aug 2022Evening ShiftPhysicsElectrostaticsActual

Three equal charges q₁, q₂ and q₃ are placed on the three corners of a square of side a . If the force between q₁ and q₂ is F₁₂ and that between q₁ and q₃ is F₁₃ , then the ratio of magnitudes ( F₁₂ F₁₃ ) is

Options

  1. A1 2
  2. B1 2
  3. C2
  4. D2

Correct answer

C. 2

Step-by-step solution

Suppose the side of square is a . Then the diagonal is equal to 2 a aligned & F₁₂= 1 4 ₀ q₁ q₂ a^2 & and F₁₃= 1 4 ₀ q₁ q₃ ( 2 a)^2 aligned We know, q₁=q₂=q₃=q So, F₁₂ F₁₃ = 2 q₂ q₃ =2

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