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Two spherical conductors 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, 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
  • a)
    F/4
  • b)
    3F/4
  • c)
    F/8
  • d)
    3F/8
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two spherical conductors B and C having equal radii and carrying equal...
Let the spherical conductors B and C have same charge as q.
The electric force between them is

r, being the distance between them.
When third uncharged conductor A is brought in contact with B, then charge on each conductor

When this conductor A is now brough in  contact with C, then charge on each conductor.

Hence, electric force acting between B and C is
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Most Upvoted Answer
Two spherical conductors B and C having equal radii and carrying equal...
Explanation:

Initial Scenario:
- Conductors B and C with equal radii and charges repel each other with force F when kept apart.

When uncharged conductor is brought in contact:
- When the uncharged conductor is brought in contact with B, it acquires the same charge as B.
- When the uncharged conductor is then brought in contact with C, it acquires the same charge as C.
- As a result, the charges on conductors B and C get redistributed.

Final Scenario:
- After the uncharged conductor is removed, the charges on B and C have redistributed.
- The charges on B and C are now reduced by half.
- The force of repulsion between B and C is given by Coulomb's law: F ∝ (q1 * q2) / r^2.
- Since the charges on B and C are halved, the new force of repulsion between B and C is 3F/8 (F/2 * F/2 = F^2/4 = 3F/8).
Therefore, the correct answer is option D, 3F/8.
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Two spherical conductors 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, 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 isa)F/4b)3F/4c)F/8d)3F/8Correct answer is option 'D'. Can you explain this answer?
Question Description
Two spherical conductors 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, 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 isa)F/4b)3F/4c)F/8d)3F/8Correct answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Two spherical conductors 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, 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 isa)F/4b)3F/4c)F/8d)3F/8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two spherical conductors 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, 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 isa)F/4b)3F/4c)F/8d)3F/8Correct answer is option 'D'. Can you explain this answer?.
Solutions for Two spherical conductors 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, 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 isa)F/4b)3F/4c)F/8d)3F/8Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
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