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Two identical charged spheres are suspen...

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 `F_2//F_1` is

A

3

B

2

C

`1//2`

D

`1//3`

Text Solution

Verified by Experts

The correct Answer is:
C
The magnitude of `F_2//F_1`=1/2 as we have calculated the dielectric constant K=2
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