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Two identical metallic sphere equally charged has force F between them. If third neutral and identical sphere is touched with first sphere then with second and finally removed. Then force between 1st two sphere at equal separation as initial will be? A. F B. 5F/4 C. 3F/8 D. F/8?
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Two identical metallic sphere equally charged has force F between them...
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Two identical metallic sphere equally charged has force F between them...
Explanation:
Initial Scenario:
- Two identical metallic spheres are equally charged, with a force F between them.
Scenario after touching the third sphere:
- When the third neutral sphere is touched with the first charged sphere, it acquires a charge of the same magnitude as the first sphere.
- Then, when the third sphere is touched with the second charged sphere, it acquires the same charge as the second sphere.
- Now, the first and third spheres have the same charge, as do the second and third spheres.
Force between the first two spheres after the process:
- The force between two identical spheres with charges Q and distance r apart is given by the formula: F = k(Q^2) / r^2, where k is the Coulomb constant.
- Initially, the force between the first two spheres was F.
- After the process, the charge on each sphere is doubled (Q' = 2Q).
- Therefore, the new force between the first two spheres is given by: F' = k((2Q)^2) / r^2 = 4k(Q^2) / r^2 = 4F.
- So, the force between the first two spheres at equal separation as initially will be 4F.
Therefore, the correct answer is Option A. F.
Initial Scenario:
- Two identical metallic spheres are equally charged, with a force F between them.
Scenario after touching the third sphere:
- When the third neutral sphere is touched with the first charged sphere, it acquires a charge of the same magnitude as the first sphere.
- Then, when the third sphere is touched with the second charged sphere, it acquires the same charge as the second sphere.
- Now, the first and third spheres have the same charge, as do the second and third spheres.
Force between the first two spheres after the process:
- The force between two identical spheres with charges Q and distance r apart is given by the formula: F = k(Q^2) / r^2, where k is the Coulomb constant.
- Initially, the force between the first two spheres was F.
- After the process, the charge on each sphere is doubled (Q' = 2Q).
- Therefore, the new force between the first two spheres is given by: F' = k((2Q)^2) / r^2 = 4k(Q^2) / r^2 = 4F.
- So, the force between the first two spheres at equal separation as initially will be 4F.
Therefore, the correct answer is Option A. F.
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Two identical metallic sphere equally charged has force F between them. If third neutral and identical sphere is touched with first sphere then with second and finally removed. Then force between 1st two sphere at equal separation as initial will be? A. F B. 5F/4 C. 3F/8 D. F/8?
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Two identical metallic sphere equally charged has force F between them. If third neutral and identical sphere is touched with first sphere then with second and finally removed. Then force between 1st two sphere at equal separation as initial will be? A. F B. 5F/4 C. 3F/8 D. F/8? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two identical metallic sphere equally charged has force F between them. If third neutral and identical sphere is touched with first sphere then with second and finally removed. Then force between 1st two sphere at equal separation as initial will be? A. F B. 5F/4 C. 3F/8 D. F/8? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two identical metallic sphere equally charged has force F between them. If third neutral and identical sphere is touched with first sphere then with second and finally removed. Then force between 1st two sphere at equal separation as initial will be? A. F B. 5F/4 C. 3F/8 D. F/8?.
Two identical metallic sphere equally charged has force F between them. If third neutral and identical sphere is touched with first sphere then with second and finally removed. Then force between 1st two sphere at equal separation as initial will be? A. F B. 5F/4 C. 3F/8 D. F/8? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two identical metallic sphere equally charged has force F between them. If third neutral and identical sphere is touched with first sphere then with second and finally removed. Then force between 1st two sphere at equal separation as initial will be? A. F B. 5F/4 C. 3F/8 D. F/8? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two identical metallic sphere equally charged has force F between them. If third neutral and identical sphere is touched with first sphere then with second and finally removed. Then force between 1st two sphere at equal separation as initial will be? A. F B. 5F/4 C. 3F/8 D. F/8?.
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