Two identical charged spheres are suspended in air from a ceiling using strings of equal length. The point of suspension is common to both the spheres. Neglect the density of air. The density of material of spheres is `2 "g/cm"^3`.
Both spheres repel each other and the strings are inclined at a certain angle with the vertical when the system is in equilibrium. Now both the sphere are dipped into a liquid of specific gravity 1 and dielectric constant K, but angle that the strings are making with the vertical remains unchanged. Let `T_1` be the tension in both the strings when the spheres are in air and `T_2`, be the tension in strings when spores are dipped in liquid. Let `F_1` be the electrostatic force between charges when they were kept in air and `F_2`, be the electrostatic force when spheres are dipped in liquid.
The magnitude of `T_2//T_1` is

Options

A. 1
B. 2
C. `1//2`
D. None

Answer

C

Explanation

On comparing equations (i) and (iv) we get `T_2//T_1`=1/2