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JIPMER2010PhysicsElectrostatics

Figure shows three spherical and equipotential surfaces A, B and C round a point charge q . The potential difference V_A-V_B=V_B-V_C . If t₁ and t₂ be the distances between them, then

Options

  1. At₁=t₂
  2. Bt₁ t₂
  3. Ct₁ t₂
  4. Dt₁ t₂

Correct answer

C. t₁ t₂

Step-by-step solution

Potential difference between two equipotential surfaces A and B , V_A-V_B=k q ( 1 r_A - 1 r_B )=k q ( r_B-r_A r_A r_B )= k q t₁ r_A r_B or t₁= (V_A-V_B ) r_A r_B k q or t₁ r_A r_B Similarly, t₂ r_B r_C Since, r_A r_B r_C , therefore, r_A r_B r_B r_C t₁ t₂

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