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Q.

Two spherical conductors of radii 4 cm and 5 cm are charged to the same potential. If  and σ1 and σ2be respective value 'of surface density of charge on both the conductors, then the ratio of σ1/σ2 will be

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a

54

b

45

c

1625

d

2510

answer is D.

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Detailed Solution

We have, VqR                                    V=14πε0·qR

           σ=q4πR2

           qσR2    or    VσR

Potential is same, i.e. V1 = V2

             σ1R1=σ2R2

     Ratio of σ1σ2=R2R1=54

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