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Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of 30o with each other. When suspended in a liquid of density 0.8 g cm-3, the angle remains the same. If density of the material of the sphere is 1.6 g cm-3, the dielectric constant of the liquid is :

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a

1

b

4

c

3

d

2

answer is D.

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Detailed Solution

tan30o=VρsgFeInside liquidtan30o=Vρs-ρlgFe/k or kρs-ρl=ρs or k=ρsρs-ρl=2

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Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of 30o with each other. When suspended in a liquid of density 0.8 g cm-3, the angle remains the same. If density of the material of the sphere is 1.6 g cm-3, the dielectric constant of the liquid is :