JEE Exam > JEE Questions > A particle moves in a circular orbit under th...
Start Learning for Free
A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle is
- a)Proportional to r2
- b)Independent of r
- c)Proportional to r
- d)Proportional to 1/r
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A particle moves in a circular orbit under the action of a central att...
i.e. speed of the particle is independent of r
Most Upvoted Answer
A particle moves in a circular orbit under the action of a central att...
Free Test
FREE
| Start Free Test |
Community Answer
A particle moves in a circular orbit under the action of a central att...
The motion of a particle in a circular orbit under the influence of a central attractive force can be described by the principles of circular motion and the law of universal gravitation. In this case, the central attractive force is inversely proportional to the distance between the particle and the center of the orbit.
The speed of the particle can be determined by considering the conservation of angular momentum. Angular momentum is given by the product of the moment of inertia and the angular velocity. In this case, the moment of inertia is proportional to the square of the distance from the center of the orbit, and the angular velocity is inversely proportional to the distance. Therefore, the angular momentum is constant.
Let's now consider the relationship between the speed of the particle and the distance from the center of the orbit:
1. The speed of the particle is inversely proportional to the distance from the center of the orbit. This is because as the particle moves further away from the center, the attractive force decreases, causing the particle to slow down.
2. The speed of the particle is independent of the distance from the center of the orbit. This is because the conservation of angular momentum ensures that the product of the moment of inertia and the angular velocity remains constant. Therefore, as the moment of inertia increases (proportional to r^2), the angular velocity decreases (inversely proportional to r) in such a way that the speed of the particle remains constant.
Therefore, the correct answer is option 'B': The speed of the particle is independent of r. This means that regardless of the distance from the center of the orbit, the particle will maintain a constant speed throughout its circular motion.
The speed of the particle can be determined by considering the conservation of angular momentum. Angular momentum is given by the product of the moment of inertia and the angular velocity. In this case, the moment of inertia is proportional to the square of the distance from the center of the orbit, and the angular velocity is inversely proportional to the distance. Therefore, the angular momentum is constant.
Let's now consider the relationship between the speed of the particle and the distance from the center of the orbit:
1. The speed of the particle is inversely proportional to the distance from the center of the orbit. This is because as the particle moves further away from the center, the attractive force decreases, causing the particle to slow down.
2. The speed of the particle is independent of the distance from the center of the orbit. This is because the conservation of angular momentum ensures that the product of the moment of inertia and the angular velocity remains constant. Therefore, as the moment of inertia increases (proportional to r^2), the angular velocity decreases (inversely proportional to r) in such a way that the speed of the particle remains constant.
Therefore, the correct answer is option 'B': The speed of the particle is independent of r. This means that regardless of the distance from the center of the orbit, the particle will maintain a constant speed throughout its circular motion.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer?
Question Description
A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer?.
A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r'. The speed of the particle isa)Proportional to r2b)Independent of rc)Proportional to rd)Proportional to 1/rCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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!
within 7 days!
Takes less than 10 seconds to signup