NEET Exam > NEET Questions > A particle performing uniform circular motion...
Start Learning for Free
A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L?
Most Upvoted Answer
A particle performing uniform circular motion has angular momentum L, ...
Explanation:
Given:
- Initial angular momentum, L
- Initial angular frequency halved, ω/2
- Initial rotational kinetic energy halved, K/2
Angular Momentum:
- The angular momentum of a particle performing uniform circular motion is given by L = Iω, where I is the moment of inertia and ω is the angular frequency.
- When the angular frequency is halved, the new angular momentum becomes L' = I(ω/2) = (1/2)Iω = (1/2)L.
- Therefore, the new angular momentum is half of the initial angular momentum, which is L/2.
Rotational Kinetic Energy:
- The rotational kinetic energy of a particle is given by K = (1/2)Iω^2.
- When the angular frequency is halved, the new rotational kinetic energy becomes K' = (1/2)I(ω/2)^2 = (1/2)I(ω^2/4) = (1/8)Iω^2 = (1/8)K.
- Therefore, the new rotational kinetic energy is one-eighth of the initial rotational kinetic energy, which is K/8.
Conclusion:
- Since angular momentum is conserved in the absence of external torques, the new angular momentum after halving the angular frequency and rotational kinetic energy is L/2.
- Therefore, the correct answer is C) L/2.
Given:
- Initial angular momentum, L
- Initial angular frequency halved, ω/2
- Initial rotational kinetic energy halved, K/2
Angular Momentum:
- The angular momentum of a particle performing uniform circular motion is given by L = Iω, where I is the moment of inertia and ω is the angular frequency.
- When the angular frequency is halved, the new angular momentum becomes L' = I(ω/2) = (1/2)Iω = (1/2)L.
- Therefore, the new angular momentum is half of the initial angular momentum, which is L/2.
Rotational Kinetic Energy:
- The rotational kinetic energy of a particle is given by K = (1/2)Iω^2.
- When the angular frequency is halved, the new rotational kinetic energy becomes K' = (1/2)I(ω/2)^2 = (1/2)I(ω^2/4) = (1/8)Iω^2 = (1/8)K.
- Therefore, the new rotational kinetic energy is one-eighth of the initial rotational kinetic energy, which is K/8.
Conclusion:
- Since angular momentum is conserved in the absence of external torques, the new angular momentum after halving the angular frequency and rotational kinetic energy is L/2.
- Therefore, the correct answer is C) L/2.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Top Courses for NEETView all
A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L?
Question Description
A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L?.
A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L?.
Solutions for A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L? defined & explained in the simplest way possible. Besides giving the explanation of
A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L?, a detailed solution for A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L? has been provided alongside types of A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L? theory, EduRev gives you an
ample number of questions to practice A particle performing uniform circular motion has angular momentum L, its angular frequency & halved and its rotational kinetic energy halved, then the new angular momentum is. A)4L B)2L C)L D).25L? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET 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