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Two identical charges repel each other with a force equal to 10mgwt when they are 0.6m apart in air.(g=10m/s2) the value of each charge is ? ? a)2mC b)2�10-7C C)2nC D)2uc?
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Two identical charges repel each other with a force equal to 10mgwt wh...
Given:
Force (F) = 10mgwt = 10 x 10^-3 x 10 = 0.1N
Distance (r) = 0.6m
Gravitational acceleration (g) = 10m/s^2
To find:
Charge (q) of each particle
Formula:
Coulomb's Law states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically, it can be expressed as:
F = kq1q2/r^2
Where:
k = Coulomb's constant = 9 x 10^9 Nm^2/C^2
q1 and q2 = charges of the two point charges
r = distance between the two point charges
Solution:
Substituting the given values in Coulomb's Law formula, we get:
0.1 = (9 x 10^9)q^2/(0.6)^2
q^2 = (0.1 x 0.6 x 0.6)/(9 x 10^9)
q^2 = 4 x 10^-12
q = √(4 x 10^-12)
q = 2 x 10^-6 C
Therefore, the value of each charge is 2μC (Option D).
Explanation:
The given problem involves the application of Coulomb's Law, which is a fundamental concept in electrostatics. The force between two point charges depends on the product of their charges and the distance between them. In this problem, we are given the force and distance between two identical charges and asked to find their value. By using Coulomb's Law formula and substituting the given values, we can calculate the charge of each particle. The correct answer is option D, which is 2μC.
Force (F) = 10mgwt = 10 x 10^-3 x 10 = 0.1N
Distance (r) = 0.6m
Gravitational acceleration (g) = 10m/s^2
To find:
Charge (q) of each particle
Formula:
Coulomb's Law states that the force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically, it can be expressed as:
F = kq1q2/r^2
Where:
k = Coulomb's constant = 9 x 10^9 Nm^2/C^2
q1 and q2 = charges of the two point charges
r = distance between the two point charges
Solution:
Substituting the given values in Coulomb's Law formula, we get:
0.1 = (9 x 10^9)q^2/(0.6)^2
q^2 = (0.1 x 0.6 x 0.6)/(9 x 10^9)
q^2 = 4 x 10^-12
q = √(4 x 10^-12)
q = 2 x 10^-6 C
Therefore, the value of each charge is 2μC (Option D).
Explanation:
The given problem involves the application of Coulomb's Law, which is a fundamental concept in electrostatics. The force between two point charges depends on the product of their charges and the distance between them. In this problem, we are given the force and distance between two identical charges and asked to find their value. By using Coulomb's Law formula and substituting the given values, we can calculate the charge of each particle. The correct answer is option D, which is 2μC.
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Two identical charges repel each other with a force equal to 10mgwt when they are 0.6m apart in air.(g=10m/s2) the value of each charge is ? ? a)2mC b)2�10-7C C)2nC D)2uc?
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Two identical charges repel each other with a force equal to 10mgwt when they are 0.6m apart in air.(g=10m/s2) the value of each charge is ? ? a)2mC b)2�10-7C C)2nC D)2uc? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two identical charges repel each other with a force equal to 10mgwt when they are 0.6m apart in air.(g=10m/s2) the value of each charge is ? ? a)2mC b)2�10-7C C)2nC D)2uc? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two identical charges repel each other with a force equal to 10mgwt when they are 0.6m apart in air.(g=10m/s2) the value of each charge is ? ? a)2mC b)2�10-7C C)2nC D)2uc?.
Two identical charges repel each other with a force equal to 10mgwt when they are 0.6m apart in air.(g=10m/s2) the value of each charge is ? ? a)2mC b)2�10-7C C)2nC D)2uc? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two identical charges repel each other with a force equal to 10mgwt when they are 0.6m apart in air.(g=10m/s2) the value of each charge is ? ? a)2mC b)2�10-7C C)2nC D)2uc? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two identical charges repel each other with a force equal to 10mgwt when they are 0.6m apart in air.(g=10m/s2) the value of each charge is ? ? a)2mC b)2�10-7C C)2nC D)2uc?.
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