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Two charges of equal magnitudes and at a distance r exert a force F on each other. If the cahrges are halved and distance between them is doubled, then the new force acting on each charge is
  • a)
    F/8
  • b)
    F/4
  • c)
    4 F
  • d)
    F/16
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two charges of equal magnitudes and at a distance r exert a force F on...
From Coulomb's law the force between two points charges q1 and q2, separated by a distance r is given by

Since, 

In second case when


Divided Eq. (ii) by Eq. (i), we have

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Most Upvoted Answer
Two charges of equal magnitudes and at a distance r exert a force F on...
Explanation:
Let the magnitude of each charge be q and the distance between them be r. Then, the force between them is given by Coulomb's law:

F = (1/4πε₀) * [(q*q)/r²]

where ε₀ is the permittivity of free space.

If we halve the charges and double the distance between them, the new force between them is given by:

F' = (1/4πε₀) * [(q/2)*(q/2)]/[(2r)²]
F' = (1/4πε₀) * [(q*q)/16r²]
F' = F/16

So, the new force acting on each charge is F/16, which is option D.
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Two charges of equal magnitudes and at a distance r exert a force F on each other. If the cahrges are halved and distance between them is doubled, then the new force acting on each charge isa)F/8b)F/4c)4 Fd)F/16Correct answer is option 'D'. Can you explain this answer?
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Two charges of equal magnitudes and at a distance r exert a force F on each other. If the cahrges are halved and distance between them is doubled, then the new force acting on each charge isa)F/8b)F/4c)4 Fd)F/16Correct 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 charges of equal magnitudes and at a distance r exert a force F on each other. If the cahrges are halved and distance between them is doubled, then the new force acting on each charge isa)F/8b)F/4c)4 Fd)F/16Correct 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 charges of equal magnitudes and at a distance r exert a force F on each other. If the cahrges are halved and distance between them is doubled, then the new force acting on each charge isa)F/8b)F/4c)4 Fd)F/16Correct answer is option 'D'. Can you explain this answer?.
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