Q.

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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a

1 : 4

b

1 : 3

c

2 : 1

d

1 : 1

answer is C.

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Detailed Solution

After redistribution new charges on spheres are Q'1=1010+20×10=103μCand Q'2=2010+20×10=203μCRatio of charge densities σ1σ2=Q1'Q2'×r22r12=10/320/3×20102=21      σ=Q4πr2
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