NEET Exam > NEET Questions > The displacement of a particle along the x-a...
Start Learning for Free
The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds to
- a)Simple harmonic motion of frequency ω/π
- b)Simple harmonic motion of frequency 3ω/2π
- c)Non simple harmonic motion
- d)Simple harmonic motion of frequency ω/2π
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The displacement of a particle along the x-axis is given by x = asin2...
Explanation:
Given:
The displacement of the particle along the x-axis is given by x = asin2ωt.
Analysis:
To determine the nature of the motion, we need to analyze the given equation.
Simple Harmonic Motion:
In simple harmonic motion, the displacement of the particle is given by x = A sin(ωt + φ), where A is the amplitude, ω is the angular frequency, t is the time, and φ is the phase angle.
Comparison:
Comparing the given equation x = asin2ωt with the equation for simple harmonic motion x = A sin(ωt + φ), we can see that the given equation matches the form of simple harmonic motion with A = a, ω = 2ω, and φ = 0.
Frequency:
The frequency of simple harmonic motion is given by f = ω/2π. In this case, the frequency is 2ω/(2π) = ω/π.
Conclusion:
Therefore, the motion of the particle corresponds to simple harmonic motion of frequency ω/π. Hence, the correct answer is option 'A'.
Given:
The displacement of the particle along the x-axis is given by x = asin2ωt.
Analysis:
To determine the nature of the motion, we need to analyze the given equation.
Simple Harmonic Motion:
In simple harmonic motion, the displacement of the particle is given by x = A sin(ωt + φ), where A is the amplitude, ω is the angular frequency, t is the time, and φ is the phase angle.
Comparison:
Comparing the given equation x = asin2ωt with the equation for simple harmonic motion x = A sin(ωt + φ), we can see that the given equation matches the form of simple harmonic motion with A = a, ω = 2ω, and φ = 0.
Frequency:
The frequency of simple harmonic motion is given by f = ω/2π. In this case, the frequency is 2ω/(2π) = ω/π.
Conclusion:
Therefore, the motion of the particle corresponds to simple harmonic motion of frequency ω/π. Hence, the correct answer is option 'A'.
Free Test
FREE
| Start Free Test |
Community Answer
The displacement of a particle along the x-axis is given by x = asin2...
x = asin2ωt
On comparing (1)1 with the standard sinusoidal equation of SHM, we get,
We conclude that the given equation represents the simple harmonic motion of amplitude a/2 and angular frequency 2ω.
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
|
|
Similar NEET Doubts
Top Courses for NEETView all
The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer?
Question Description
The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer?.
The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer? 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 The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The displacement of a particle along the x-axis is given by x = asin2ωt. The motion of the particle corresponds toa)Simple harmonic motion of frequency ω/πb)Simple harmonic motion of frequency 3ω/2πc)Non simple harmonic motiond)Simple harmonic motion of frequency ω/2πCorrect answer is option 'A'. Can you explain this answer? 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup