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A conducting sphere of radius 10 cm is charged 10 μC. Another uncharged sphere of radius 20 cm is allowed to touch it for some time. After that if the sphere are separated, then surface density of charges on the spheres will be in the ratio of

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detailed solution

Correct option is C

After redistribution, new charges on spheres areQ1'=1010+20×10=103μC and Q2'=2010+20×10=203μCRatio of charge densities,σ1σ2=Q1'Q2'×r22r12=10/320/3×20102=21 σ=Q4πr2

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