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Two charged spherical conductors of radius R₁ and R₂ are connected by a wire. Then the ratio of surface charge densities of the spheres (σ₁/σ₂) is

Asked in NEET 2021 · Potential of shells and spheres

• (1) (R₁)/(R₂)
• (2) (R₂)/(R₁)
• (3) √(R₁)/(R₂)
• (4) (R₁²)/(R₂²)

Step-by-step solution

Why the other options are wrong

• (1) This is the ratio of the charges, (Q₁)/(Q₂); dividing by the areas 4π R² inverts it for the charge densities.
• (3) No single slip gives a square root; equal potentials make σ R the same on both spheres.
• (4) No single slip gives this; the smaller sphere has the larger charge density, not the smaller.

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