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Q.

Two identical spheres of same mass and specific gravity (which is the ratio of density of a substance and density of water) 2.4 have different charges of Q and-3Q.Theyare suspended from two strings of same length l fixed to points at the same horizontal level, but distant l from each other. When the entire set up is transferred inside a liquid of specific gravity 0.8, it is observed that the inclination of each string in equilibrium remains unchanged. Then the dielectric constant of the liquid is

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a

2

b

3

c

1.5

d

None of these

answer is C.

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Detailed Solution

tan⁡θ=FeVρg=Fe/kV(ρ−σ)g⇒ k=ρρ−σ=2.42.4−0.8=1.5
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