ElectrostaticsHard

Question

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 16 g cm-3, the dielectric constant of the liquid is

Options

A.4
B.3
C.2
D.1

Solution


         
From F.B.D of sphere, using Lami’s theorem
     = tanθ         ......(i)
when suspended in liquid, as q remains same,
∴         ......(ii)
using (i) and (ii)
where F′ =
∴ or

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