Practicing Success
Read the passage and answer the question. Two spherical conductors A and B 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 P having same radius as that of A but uncharged, is brought in contact with A, then brought in contact with B and finally removed away from both. The new force of repulsion between A and B is |
The new force of repulsion between A and B is |
F/2 F/4 3F/8 3F/16 |
3F/8 |
When an identical uncharged spherical conductor A is brought in contact with charged sphere P.
By symmetry, the total charge will be shared equally among them, as both have equal radii.
∴ Charge on A and P =Q/2
Now, when the conductor P is brought in contact with B.
They will also share equal charge among themselves, as both have equal radii.
∴ Charge on B and P = 3Q/4
New force = 3F/8
The charges on A and B are Q/2 and 3Q/4 respectively. |