Class 12 Exam > Class 12 Questions > When the distance between two charged particl...
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When the distance between two charged particle is halved, the force between them becomes
- a)One fourth
- b)One half
- c)Double
- d)Four times
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
When the distance between two charged particle is halved, the force be...
The force between the two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Hence, if distance between charges is halved (charges remaining kept constant), the force between the two charges is quadrupled.
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When the distance between two charged particle is halved, the force be...
Explanation:
Coulomb's Law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically,
F ∝ q1q2/d^2
Where F is the force between the particles, q1 and q2 are the charges of the particles, and d is the distance between them.
When the distance between the two charged particles is halved, the new distance becomes 1/2d. Substituting this value in the above equation, we get:
F' ∝ q1q2/(1/2d)^2
F' ∝ q1q2/[(1/2)^2d^2]
F' ∝ q1q2/[(1/4)d^2]
F' ∝ 4q1q2/d^2
Therefore, the force between the particles becomes four times the original force. Hence, the correct answer is option D (Four times).
Conclusion:
When the distance between two charged particles is halved, the force between them becomes four times.
Coulomb's Law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically,
F ∝ q1q2/d^2
Where F is the force between the particles, q1 and q2 are the charges of the particles, and d is the distance between them.
When the distance between the two charged particles is halved, the new distance becomes 1/2d. Substituting this value in the above equation, we get:
F' ∝ q1q2/(1/2d)^2
F' ∝ q1q2/[(1/2)^2d^2]
F' ∝ q1q2/[(1/4)d^2]
F' ∝ 4q1q2/d^2
Therefore, the force between the particles becomes four times the original force. Hence, the correct answer is option D (Four times).
Conclusion:
When the distance between two charged particles is halved, the force between them becomes four times.
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When the distance between two charged particle is halved, the force between them becomesa)One fourthb)One halfc)Doubled)Four timesCorrect answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about When the distance between two charged particle is halved, the force between them becomesa)One fourthb)One halfc)Doubled)Four timesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When the distance between two charged particle is halved, the force between them becomesa)One fourthb)One halfc)Doubled)Four timesCorrect answer is option 'D'. Can you explain this answer?.
When the distance between two charged particle is halved, the force between them becomesa)One fourthb)One halfc)Doubled)Four timesCorrect answer is option 'D'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about When the distance between two charged particle is halved, the force between them becomesa)One fourthb)One halfc)Doubled)Four timesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When the distance between two charged particle is halved, the force between them becomesa)One fourthb)One halfc)Doubled)Four timesCorrect answer is option 'D'. Can you explain this answer?.
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