-->

Nuclei

Question
CBSEENPH12039713

Two spherical conductor B and C having equal radii and carrying equal charges in them 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 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

  • F/4

  • 3F/4

  • 3F/8

  • F/8

Solution

C.

3F/8

straight F apostrophe space equals space fraction numerator 1 over denominator 4 πε subscript 0 end fraction fraction numerator left parenthesis straight q divided by 2 right parenthesis left parenthesis 3 straight q divided by 4 right parenthesis over denominator straight d squared end fraction space equals space fraction numerator 3 straight F over denominator 8 end fraction