Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electric Charges and Fields

Question:

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

Options:

F/2

F/4

3F/8

3F/16

Correct Answer:

3F/8

Explanation:
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.