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Two point charges of +3 μC and +4 μC repel each other with a force of 10 N. If each is given an additional charge of -6 μC, the new force is
- a)2N
- b)4N
- c)7.5N
- d)5N
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Two point charges of +3μC and +4μC repel each other with a force...
The force between two charges q1 and q2 at a distance r is given by Coulomb's law:
F = k*q1*q2/r^2
where k is Coulomb's constant (9*10^9 N*m^2/C^2).
Given that F = 10 N, q1 = 3 μC = 3*10^-6 C, and q2 = 4 μC = 4*10^-6 C, we can solve for r^2:
10 = 9*10^9 * 3*10^-6 * 4*10^-6 / r^2
r^2 = 9*10^9 * 3*10^-6 * 4*10^-6 / 10
r^2 = 1.08*10^-2 m^2
Now, if each charge is given an additional -6 μC, the new charges are q1' = -3 μC = -3*10^-6 C and q2' = -2 μC = -2*10^-6 C. The new force F' is:
F' = k*q1'*q2'/r^2
F' = 9*10^9 * -3*10^-6 * -2*10^-6 / 1.08*10^-2
F' = 5 N
So, the new force is 5N. Hence, option
F = k*q1*q2/r^2
where k is Coulomb's constant (9*10^9 N*m^2/C^2).
Given that F = 10 N, q1 = 3 μC = 3*10^-6 C, and q2 = 4 μC = 4*10^-6 C, we can solve for r^2:
10 = 9*10^9 * 3*10^-6 * 4*10^-6 / r^2
r^2 = 9*10^9 * 3*10^-6 * 4*10^-6 / 10
r^2 = 1.08*10^-2 m^2
Now, if each charge is given an additional -6 μC, the new charges are q1' = -3 μC = -3*10^-6 C and q2' = -2 μC = -2*10^-6 C. The new force F' is:
F' = k*q1'*q2'/r^2
F' = 9*10^9 * -3*10^-6 * -2*10^-6 / 1.08*10^-2
F' = 5 N
So, the new force is 5N. Hence, option
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Two point charges of +3μC and +4μC repel each other with a force of 10 N. If each is given an additional charge of -6 μC, the new force isa)2Nb)4Nc)7.5Nd)5NCorrect answer is option 'D'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two point charges of +3μC and +4μC repel each other with a force of 10 N. If each is given an additional charge of -6 μC, the new force isa)2Nb)4Nc)7.5Nd)5NCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two point charges of +3μC and +4μC repel each other with a force of 10 N. If each is given an additional charge of -6 μC, the new force isa)2Nb)4Nc)7.5Nd)5NCorrect answer is option 'D'. Can you explain this answer?.
Two point charges of +3μC and +4μC repel each other with a force of 10 N. If each is given an additional charge of -6 μC, the new force isa)2Nb)4Nc)7.5Nd)5NCorrect answer is option 'D'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two point charges of +3μC and +4μC repel each other with a force of 10 N. If each is given an additional charge of -6 μC, the new force isa)2Nb)4Nc)7.5Nd)5NCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two point charges of +3μC and +4μC repel each other with a force of 10 N. If each is given an additional charge of -6 μC, the new force isa)2Nb)4Nc)7.5Nd)5NCorrect answer is option 'D'. Can you explain this answer?.
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