Two spherical hollow spheres of radii ' R₁ ' and ' R₂ ' are charged with same charge. Let ' σ₁ ' and ' σ₂ ' are their respective charge densities, then the ratio σ₁ to σ₂ is (a) R₁: R₂ (b) R₂: R₁ (c) R₂²: R₁² (d) R₁²: R₂²

Answer: (c). Surface charge density of a hollow sphere: σ = (q)/(4π R²). Same q, so σ ∝ 1/R². (σ₁)/(σ₂) = (R₂²)/(R₁²) So the answer is (c) R₂²: R₁².

Two spherical hollow spheres of radii ' R₁ ' and ' R₂ ' are charged… | MHT CET 2026 (16 Apr, Shift 2)

Q1MHT CET 2026 · 16 APR · SHIFT 2Easy

Electric Charge & Coulomb's Law

Two spherical hollow spheres of radii ' $R_1$ ' and ' $R_2$ ' are charged with same charge. Let ' $\sigma_1$ ' and ' $\sigma_2$ ' are their respective charge densities, then the ratio $\sigma_1$ to $\sigma_2$ is

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Answer: (c)

Surface charge density of a hollow sphere: $\sigma = \dfrac{q}{4\pi R^2}$ .
Same $q$ , so $\sigma \propto \dfrac{1}{R^2}$ .
$\dfrac{\sigma_1}{\sigma_2} = \dfrac{R_2^2}{R_1^2}$
So the answer is (c) $R_2^2 : R_1^2$ .

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Electric Charge & Coulomb's Law question from MHT CET 2026 (16 Apr, Shift 2)

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