Class 11 Exam > Class 11 Questions > A particle executes SHM of time period T, the...
Start Learning for Free
A particle executes SHM of time period T, the time period with which the total energy changes is
- a)2T
- b)T
- c)T/2
- d)Infinite
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A particle executes SHM of time period T, the time period with which t...
Potential energy is a function of height. Now the motion of a simple pendulum can be expressed in terms of the angle at which the string makes with the normal (the angle it would hang at if it didn't swing.)Now Because the bob of the pendulum is always in motion except at the two turning points where the angle is at a maximum (and even at these points the bob is only motionless at one instant in time but for no inteval) the hight is always changing for every inteval of time and thus the potential energy is always changing.Also the potential energy is the same for all values of the angle that have the same magnatude (independent of the sign.)
Most Upvoted Answer
A particle executes SHM of time period T, the time period with which t...
Understanding Simple Harmonic Motion (SHM)
In Simple Harmonic Motion, a particle oscillates back and forth around a mean position. The energy of the particle is divided into two components: kinetic energy and potential energy.
Time Period of SHM
- The time period (T) of SHM is the time taken to complete one full oscillation.
- In one complete cycle, both kinetic energy and potential energy vary periodically.
Energy Distribution in SHM
- At the mean position, the kinetic energy is maximum, while potential energy is minimum.
- At the extreme positions (maximum displacement), potential energy is maximum, and kinetic energy is minimum.
Potential Energy Variation
- The potential energy (U) in SHM varies as the particle moves from the mean position to the extremes.
- It reaches its maximum value at the endpoints of the motion (1/4T and 3/4T).
Time Period of Potential Energy Changes
- The potential energy completes a cycle of high to low and back to high within a quarter of the time period of SHM.
- Therefore, the potential energy changes from maximum to minimum and back to maximum in T/2.
Conclusion
- Since potential energy oscillates more quickly than the overall motion (which is represented by T), it effectively has a time period of T/2.
- Thus, the correct answer is option D: T/2.
In Simple Harmonic Motion, a particle oscillates back and forth around a mean position. The energy of the particle is divided into two components: kinetic energy and potential energy.
Time Period of SHM
- The time period (T) of SHM is the time taken to complete one full oscillation.
- In one complete cycle, both kinetic energy and potential energy vary periodically.
Energy Distribution in SHM
- At the mean position, the kinetic energy is maximum, while potential energy is minimum.
- At the extreme positions (maximum displacement), potential energy is maximum, and kinetic energy is minimum.
Potential Energy Variation
- The potential energy (U) in SHM varies as the particle moves from the mean position to the extremes.
- It reaches its maximum value at the endpoints of the motion (1/4T and 3/4T).
Time Period of Potential Energy Changes
- The potential energy completes a cycle of high to low and back to high within a quarter of the time period of SHM.
- Therefore, the potential energy changes from maximum to minimum and back to maximum in T/2.
Conclusion
- Since potential energy oscillates more quickly than the overall motion (which is represented by T), it effectively has a time period of T/2.
- Thus, the correct answer is option D: T/2.
|
Explore Courses for Class 11 exam
|
|
Top Courses for Class 11View all
Question Description
A particle executes SHM of time period T, the time period with which the total energy changes isa)2Tb)Tc)T/2d)InfiniteCorrect answer is option 'D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A particle executes SHM of time period T, the time period with which the total energy changes isa)2Tb)Tc)T/2d)InfiniteCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle executes SHM of time period T, the time period with which the total energy changes isa)2Tb)Tc)T/2d)InfiniteCorrect answer is option 'D'. Can you explain this answer?.
A particle executes SHM of time period T, the time period with which the total energy changes isa)2Tb)Tc)T/2d)InfiniteCorrect answer is option 'D'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A particle executes SHM of time period T, the time period with which the total energy changes isa)2Tb)Tc)T/2d)InfiniteCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle executes SHM of time period T, the time period with which the total energy changes isa)2Tb)Tc)T/2d)InfiniteCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A particle executes SHM of time period T, the time period with which the total energy changes isa)2Tb)Tc)T/2d)InfiniteCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A particle executes SHM of time period T, the time period with which the total energy changes isa)2Tb)Tc)T/2d)InfiniteCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A particle executes SHM of time period T, the time period with which the total energy changes isa)2Tb)Tc)T/2d)InfiniteCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A particle executes SHM of time period T, the time period with which the total energy changes isa)2Tb)Tc)T/2d)InfiniteCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A particle executes SHM of time period T, the time period with which the total energy changes isa)2Tb)Tc)T/2d)InfiniteCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A particle executes SHM of time period T, the time period with which the total energy changes isa)2Tb)Tc)T/2d)InfiniteCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup