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NEET2026PhysicsChapterActual

Two isolated solid metallic spheres A and B have radii in the ratio 1 : 2 . They are given net charges in the ratio 3 : 4 . What will be the ratio of the electric potentials at their surfaces, V_A : V_B ?

Options

  1. A3 : 2
  2. B2 : 3
  3. C3 : 8
  4. D3 : 1

Correct answer

A. 3 : 2

Step-by-step solution

The electric potential at the surface of an isolated solid metallic sphere is given by V = 1 4 ₀ Q R . For spheres A and B , the ratio of their potentials is: V_A V_B = Q_A Q_B R_B R_A Given R_A R_B = 1 2 and Q_A Q_B = 3 4 , substituting these values: V_A V_B = 3 4 2 1 = 3 2 The ratio of the electric potentials is 3 : 2 . Answer: 3 : 2

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