Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of\[30{}^\circ \]with each other. When suspended in a liquid of density\[0.8\text{ }g\text{ }c{{m}^{3}},\] the angle remains the same. If density of the material of the sphere is\[1.6\text{ }g\text{ }c{{m}^{3}},\] the dielectric constant of the liquid is ?
AIEEE Solved Paper-2010