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Q.

S1 and S2 are two hollow concentric spheres with charge q and 2q. Space between S1 and S2 is filled with a dielectric of dielectric constants.The ratio of flux through S2 and flux through S1 is K. Then, the value of 9K11 is ________.

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answer is 9.

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Detailed Solution

With air in the space, between S1 and S2.ϕS1=qε0 and ϕS2=2qε0When a medium of K= 5 is filled in spaceϕS1′=QKε0=ϕS15=q5ε0And in this case, flux though S2ϕS2′= flux of S1+ flux of charge 2q=q5ε0+2qε0=q+10q5ε0=11q5ε0 So, ratio ϕS1′ϕS2′=11 So,  9K11=9
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