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Q.

Consider two charged metallic sphere S1 and S2 of radii R1 and R2, respectively. The electric fields E1(on S1) and E2(on S2) on their surfaces are such that  E1/E2=R1/R2. Then the ratio  V1on  S1/V2on  S2 of the electrostatic potentials on each sphere is :

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a

R1/R22

b

R2/R1

c

R1R23

d

R1/R2

answer is B.

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Detailed Solution

Given : E1E2=R1R2We know, E=kQR2 and V=kQRV=ERV1V2=E1R1E2R2=R1R2×R1R2=R1R22

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