Railways Exam > Railways Questions > If the distance between two charged particles...
Start Learning for Free
If the distance between two charged particles is doubled, the force between them becomes :
- a)(1/4) times
- b)(1/2) times
- c)2 times
- d)4 times
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If the distance between two charged particles is doubled, the force be...
The corrrect answer is d.
Most Upvoted Answer
If the distance between two charged particles is doubled, the force be...
Explanation:
When two charged particles are at a certain distance from each other, they exert a force on each other known as the electrostatic force. This force is given by Coulomb's law, which 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, Coulomb's law is expressed as:
F = (k * q1 * q2) / r^2
Where:
F is the force between the charged particles,
k is the electrostatic constant (9 × 10^9 N m^2/C^2),
q1 and q2 are the magnitudes of the charges of the particles, and
r is the distance between the particles.
Effect of Doubling the Distance:
If the distance between the charged particles is doubled, it means that the new distance (r') is twice the original distance (r). Mathematically, we can express this as:
r' = 2r
Now, let's substitute this new distance into Coulomb's law:
F' = (k * q1 * q2) / (r')^2
= (k * q1 * q2) / (2r)^2
= (k * q1 * q2) / 4r^2
We can see that the force (F') between the particles is one-fourth (1/4) of the original force (F). Therefore, when the distance between two charged particles is doubled, the force between them becomes one-half (1/2) times the original force.
Conclusion:
Hence, the correct answer is option 'B': (1/2) times.
When two charged particles are at a certain distance from each other, they exert a force on each other known as the electrostatic force. This force is given by Coulomb's law, which 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, Coulomb's law is expressed as:
F = (k * q1 * q2) / r^2
Where:
F is the force between the charged particles,
k is the electrostatic constant (9 × 10^9 N m^2/C^2),
q1 and q2 are the magnitudes of the charges of the particles, and
r is the distance between the particles.
Effect of Doubling the Distance:
If the distance between the charged particles is doubled, it means that the new distance (r') is twice the original distance (r). Mathematically, we can express this as:
r' = 2r
Now, let's substitute this new distance into Coulomb's law:
F' = (k * q1 * q2) / (r')^2
= (k * q1 * q2) / (2r)^2
= (k * q1 * q2) / 4r^2
We can see that the force (F') between the particles is one-fourth (1/4) of the original force (F). Therefore, when the distance between two charged particles is doubled, the force between them becomes one-half (1/2) times the original force.
Conclusion:
Hence, the correct answer is option 'B': (1/2) times.
Attention Railways Students!
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.
|
Explore Courses for Railways exam
|
|
Similar Railways Doubts
Top Courses for RailwaysView all
If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer?
Question Description
If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer?.
If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the distance between two charged particles is doubled, the force between them becomes :a)(1/4) timesb)(1/2) timesc)2 timesd)4 timesCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Railways tests.
|
|
Explore Courses for Railways exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup