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 constant K =5. The ratio of flux through S2 and flux through S1 is K'. Then find the value of 9K' 11.
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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 space ϕ S1'=QKε0=ϕS15=q5ε0And in this case, flux through S2 ϕ S2'=flux of S1+flux of charge 2q=q5ε0+2qε0=q+10q5ε0=11q5ε0So, ratio ϕS1'ϕS2'=11=K'So, 9K'11=9
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