Two spherical conductors $B$ and $C$ having equal radii and carrying equal charges $q$ repel each other with a force $F$ when kept apart at some distance. A third spherical conductor having same radius as that of $B$ but uncharged is brought in contact with $B$, then brought in contact with $C$ and finally removed away from both. The new force of repulsion between $B$ and $C$ is:

1. A
   $F/4$
2. B
   $3F/4$
3. C
   $F/8$
4. D
   $3F/8$