MHT CET202527 Apr 2025Evening ShiftPhysicsElectrostaticsActual
Two conducting spheres of radii ' r₁ ' and ' r₂ ' are equally charged. The ratio of their potentials is (potential of r₁ to potential r₂ )
Options
- Ar₁^2 r₂^2
- Br₂^2 r₁^2
- Cr₁ r₂
- Dr₂ r₁
Correct answer
A. r₁^2 r₂^2
Step-by-step solution
The potential of a conducting sphere with charge Q and radius r is V = 1 4 ₀ Q r . After charging disconnected identical spheres to equal potential and reconnecting them, both spheres share the same charge Q . The ratio of the potentials becomes V₁ V₂ = Q r₁ Q r₂ = r₂ r₁ . The correct choice is D.