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two identical spheres having charges +10micro c and -90 micro c attract each other with a force F. if they are kept in contact and then separated by the sane distance, the new force between them is. a. F/6 b. 16F c.16F/9 d.9F
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two identical spheres having charges +10micro c and -90 micro c attrac...
Solution:
Explanation:
Answer: Option (c) 16F/9
Given that two identical spheres have charges of 10µC and -90µC and they attract each other with a force F. If they are kept in contact and then separated by the same distance, we need to find the new force between them.
Explanation:
- Initial force between the two spheres is given by Coulomb's Law:
- F = kq1q2/r^2
- where k = 1/4πϵ0 = 9x10^9 Nm^2/C^2 is Coulomb's constant
- q1 and q2 are the charges of the spheres in Coulombs
- r is the separation distance between the centers of the spheres in meters
- Substituting the given values, we get:
- F = 9x10^9 x 10µC x (-90µC)/(r^2)
- When the spheres are in contact, they will share their charges and each will have a charge of -40µC.
- When the spheres are separated by the same distance, the force between them can be found by Coulomb's Law:
- F' = kq1q2/r^2
- where q1 = q2 = -40µC
- Substituting the given values, we get:
- F' = 9x10^9 x (-40µC)^2/(r^2)
- Now, we need to find the ratio of the new force to the initial force:
- F'/F = [9x10^9 x (-40µC)^2/(r^2)] / [9x10^9 x 10µC x (-90µC)/(r^2)]
- F'/F = 16/9
- Therefore, the new force between the spheres is 16/9 times the initial force:
- F' = (16/9)F
Answer: Option (c) 16F/9
Community Answer
two identical spheres having charges +10micro c and -90 micro c attrac...
F=K-10×-90÷r×rF'=K-40×-40÷r×r F÷F'Then the answer is 16F/9
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two identical spheres having charges +10micro c and -90 micro c attract each other with a force F. if they are kept in contact and then separated by the sane distance, the new force between them is. a. F/6 b. 16F c.16F/9 d.9F
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two identical spheres having charges +10micro c and -90 micro c attract each other with a force F. if they are kept in contact and then separated by the sane distance, the new force between them is. a. F/6 b. 16F c.16F/9 d.9F for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about two identical spheres having charges +10micro c and -90 micro c attract each other with a force F. if they are kept in contact and then separated by the sane distance, the new force between them is. a. F/6 b. 16F c.16F/9 d.9F covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for two identical spheres having charges +10micro c and -90 micro c attract each other with a force F. if they are kept in contact and then separated by the sane distance, the new force between them is. a. F/6 b. 16F c.16F/9 d.9F.
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