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AIPMT PRELIMS2009Physics-Electrostatics

AIPMT PRELIMS 2009 Physics Potential due to Spherical Shells MCQ Question

Type: MCQ-conceptual-Medium-Class 12

Three concentric spherical shells have radii a, b and c (a < b < c) and have surface charge densities σ, -σ and σ respectively. If V_A, V_B and V_C denote the potentials of the three shells, then for c = a + b, we have:

A

V_C = V_B ≠ V_A

B

V_C ≠ V_B ≠ V_A

C

V_C = V_B = V_A

D

V_C = V_A ≠ V_B

Correct Answer

Option D

Detailed Explanation

For c = a + b, the potential V_A is equal to V_C due to the symmetry and charge distribution, while V_B is different due to the negative charge density on the middle shell.

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