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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?
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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'.
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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.
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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?
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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?.
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