Two identical conducting spheres 1 and 2 carry equal amounts of charge and are fixed apart at a certain distance larger than their diameters. The spheres repel each other with an electrical force of 88mN. A third identical sphere 3, having an insulating handle and initially uncharged, is touched first to sphere 1 and then to sphere 2 and finally removed. Find the force between spheres 1 and 2 as shown if Figure.
,

Options

A. `F/2`
B. `F/4`
C. `(3F)/4`
D. `(3F)/8`

Answer

D

Explanation

`F=(KQ^2)/r^2`
Now, `q_C =q_A = (3Q)/4`
`F.= (K(Q/2)((3Q)/4))/r^2 implies F. =3/8 F`