Physics

Problem

A charged cork ball of mass

1.6\,\text{g}

is suspended by a light string in the presence of an identical charged ball fixed at the same horizontal level. In equilibrium, the string makes an angle of

37^{\circ}

with the vertical. The entire system is then immersed in a liquid of density

0.8\,\text{g/cm}^{3}

. It is observed that the angle remains unchanged. The density of the cork is

1.6\,\text{g/cm}^{3}

. Calculate the dielectric constant

K

of the liquid.

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