Damped Simple Harmonic Motion
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PHXI14:OSCILLATIONS

364253 The maximum displacement of the particle executing \(S H M\) is \(1 \mathrm{~cm}\) and the maximum acceleration is \((1.57)^{2} \mathrm{~cm} \mathrm{~s}^{-2}\). Its time period is

1 \(0.25 \mathrm{~s}\)
2 \(4.0 \mathrm{~s}\)
3 \(1.57 \mathrm{~s}\)
4 \(3.14 s\)
PHXI14:OSCILLATIONS

364254 A point performs simple harmonic oscillation of period \(T\) and the equation of motion is given by \(x=a \sin (\omega t+\pi / 6)\). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?

1 \(\dfrac{T}{8}\)
2 \(\dfrac{T}{6}\)
3 \(\dfrac{T}{3}\)
4 \(\dfrac{T}{12}\)
PHXI14:OSCILLATIONS

364255 The \(x-t\) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=2 s\) is:
supporting img

1 \(-\dfrac{\pi^{2}}{8} m s^{-2}\)
2 \(\dfrac{\pi^{2}}{16} m s^{-2}\)
3 \(-\dfrac{\pi^{2}}{16} m s^{-2}\)
4 \(\dfrac{\pi^{2}}{8} m s^{-2}\)
NEET - 2023
PHXI14:OSCILLATIONS

364256 If \(x, v\) and a denote the displacement, the velocity and the acceleration of a particle executing SHM of time period \(T\). Then which of the following does not change with time?

1 \(\dfrac{a T}{v}\)
2 \(\dfrac{a T}{x}\)
3 \(3 a^{2} T^{2}+4 \pi^{2} v^{2}\)
4 \(a T+2 \pi v\)
PHXI14:OSCILLATIONS

364257 For a particle executing simple harmonic motion, determine the ratio of average acceleration of particle from extreme position to equilibrium position to the maximum acceleration.

1 \(\dfrac{2}{\pi}\)
2 \(\dfrac{4}{\pi}\)
3 \(\dfrac{1}{2 \pi}\)
4 \(\dfrac{1}{\pi}\)
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PHXI14:OSCILLATIONS

364253 The maximum displacement of the particle executing \(S H M\) is \(1 \mathrm{~cm}\) and the maximum acceleration is \((1.57)^{2} \mathrm{~cm} \mathrm{~s}^{-2}\). Its time period is

1 \(0.25 \mathrm{~s}\)
2 \(4.0 \mathrm{~s}\)
3 \(1.57 \mathrm{~s}\)
4 \(3.14 s\)
PHXI14:OSCILLATIONS

364254 A point performs simple harmonic oscillation of period \(T\) and the equation of motion is given by \(x=a \sin (\omega t+\pi / 6)\). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?

1 \(\dfrac{T}{8}\)
2 \(\dfrac{T}{6}\)
3 \(\dfrac{T}{3}\)
4 \(\dfrac{T}{12}\)
PHXI14:OSCILLATIONS

364255 The \(x-t\) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=2 s\) is:
supporting img

1 \(-\dfrac{\pi^{2}}{8} m s^{-2}\)
2 \(\dfrac{\pi^{2}}{16} m s^{-2}\)
3 \(-\dfrac{\pi^{2}}{16} m s^{-2}\)
4 \(\dfrac{\pi^{2}}{8} m s^{-2}\)
NEET - 2023
PHXI14:OSCILLATIONS

364256 If \(x, v\) and a denote the displacement, the velocity and the acceleration of a particle executing SHM of time period \(T\). Then which of the following does not change with time?

1 \(\dfrac{a T}{v}\)
2 \(\dfrac{a T}{x}\)
3 \(3 a^{2} T^{2}+4 \pi^{2} v^{2}\)
4 \(a T+2 \pi v\)
PHXI14:OSCILLATIONS

364257 For a particle executing simple harmonic motion, determine the ratio of average acceleration of particle from extreme position to equilibrium position to the maximum acceleration.

1 \(\dfrac{2}{\pi}\)
2 \(\dfrac{4}{\pi}\)
3 \(\dfrac{1}{2 \pi}\)
4 \(\dfrac{1}{\pi}\)
For More Updates join with Us
PHXI14:OSCILLATIONS

364253 The maximum displacement of the particle executing \(S H M\) is \(1 \mathrm{~cm}\) and the maximum acceleration is \((1.57)^{2} \mathrm{~cm} \mathrm{~s}^{-2}\). Its time period is

1 \(0.25 \mathrm{~s}\)
2 \(4.0 \mathrm{~s}\)
3 \(1.57 \mathrm{~s}\)
4 \(3.14 s\)
PHXI14:OSCILLATIONS

364254 A point performs simple harmonic oscillation of period \(T\) and the equation of motion is given by \(x=a \sin (\omega t+\pi / 6)\). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?

1 \(\dfrac{T}{8}\)
2 \(\dfrac{T}{6}\)
3 \(\dfrac{T}{3}\)
4 \(\dfrac{T}{12}\)
PHXI14:OSCILLATIONS

364255 The \(x-t\) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=2 s\) is:
supporting img

1 \(-\dfrac{\pi^{2}}{8} m s^{-2}\)
2 \(\dfrac{\pi^{2}}{16} m s^{-2}\)
3 \(-\dfrac{\pi^{2}}{16} m s^{-2}\)
4 \(\dfrac{\pi^{2}}{8} m s^{-2}\)
NEET - 2023
PHXI14:OSCILLATIONS

364256 If \(x, v\) and a denote the displacement, the velocity and the acceleration of a particle executing SHM of time period \(T\). Then which of the following does not change with time?

1 \(\dfrac{a T}{v}\)
2 \(\dfrac{a T}{x}\)
3 \(3 a^{2} T^{2}+4 \pi^{2} v^{2}\)
4 \(a T+2 \pi v\)
PHXI14:OSCILLATIONS

364257 For a particle executing simple harmonic motion, determine the ratio of average acceleration of particle from extreme position to equilibrium position to the maximum acceleration.

1 \(\dfrac{2}{\pi}\)
2 \(\dfrac{4}{\pi}\)
3 \(\dfrac{1}{2 \pi}\)
4 \(\dfrac{1}{\pi}\)
NEET DIGITAL LIBRARY
PHXI14:OSCILLATIONS

364253 The maximum displacement of the particle executing \(S H M\) is \(1 \mathrm{~cm}\) and the maximum acceleration is \((1.57)^{2} \mathrm{~cm} \mathrm{~s}^{-2}\). Its time period is

1 \(0.25 \mathrm{~s}\)
2 \(4.0 \mathrm{~s}\)
3 \(1.57 \mathrm{~s}\)
4 \(3.14 s\)
PHXI14:OSCILLATIONS

364254 A point performs simple harmonic oscillation of period \(T\) and the equation of motion is given by \(x=a \sin (\omega t+\pi / 6)\). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?

1 \(\dfrac{T}{8}\)
2 \(\dfrac{T}{6}\)
3 \(\dfrac{T}{3}\)
4 \(\dfrac{T}{12}\)
PHXI14:OSCILLATIONS

364255 The \(x-t\) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=2 s\) is:
supporting img

1 \(-\dfrac{\pi^{2}}{8} m s^{-2}\)
2 \(\dfrac{\pi^{2}}{16} m s^{-2}\)
3 \(-\dfrac{\pi^{2}}{16} m s^{-2}\)
4 \(\dfrac{\pi^{2}}{8} m s^{-2}\)
NEET - 2023
PHXI14:OSCILLATIONS

364256 If \(x, v\) and a denote the displacement, the velocity and the acceleration of a particle executing SHM of time period \(T\). Then which of the following does not change with time?

1 \(\dfrac{a T}{v}\)
2 \(\dfrac{a T}{x}\)
3 \(3 a^{2} T^{2}+4 \pi^{2} v^{2}\)
4 \(a T+2 \pi v\)
PHXI14:OSCILLATIONS

364257 For a particle executing simple harmonic motion, determine the ratio of average acceleration of particle from extreme position to equilibrium position to the maximum acceleration.

1 \(\dfrac{2}{\pi}\)
2 \(\dfrac{4}{\pi}\)
3 \(\dfrac{1}{2 \pi}\)
4 \(\dfrac{1}{\pi}\)
Join With Us for More Updates
PHXI14:OSCILLATIONS

364253 The maximum displacement of the particle executing \(S H M\) is \(1 \mathrm{~cm}\) and the maximum acceleration is \((1.57)^{2} \mathrm{~cm} \mathrm{~s}^{-2}\). Its time period is

1 \(0.25 \mathrm{~s}\)
2 \(4.0 \mathrm{~s}\)
3 \(1.57 \mathrm{~s}\)
4 \(3.14 s\)
PHXI14:OSCILLATIONS

364254 A point performs simple harmonic oscillation of period \(T\) and the equation of motion is given by \(x=a \sin (\omega t+\pi / 6)\). After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity?

1 \(\dfrac{T}{8}\)
2 \(\dfrac{T}{6}\)
3 \(\dfrac{T}{3}\)
4 \(\dfrac{T}{12}\)
PHXI14:OSCILLATIONS

364255 The \(x-t\) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=2 s\) is:
supporting img

1 \(-\dfrac{\pi^{2}}{8} m s^{-2}\)
2 \(\dfrac{\pi^{2}}{16} m s^{-2}\)
3 \(-\dfrac{\pi^{2}}{16} m s^{-2}\)
4 \(\dfrac{\pi^{2}}{8} m s^{-2}\)
NEET - 2023
PHXI14:OSCILLATIONS

364256 If \(x, v\) and a denote the displacement, the velocity and the acceleration of a particle executing SHM of time period \(T\). Then which of the following does not change with time?

1 \(\dfrac{a T}{v}\)
2 \(\dfrac{a T}{x}\)
3 \(3 a^{2} T^{2}+4 \pi^{2} v^{2}\)
4 \(a T+2 \pi v\)
PHXI14:OSCILLATIONS

364257 For a particle executing simple harmonic motion, determine the ratio of average acceleration of particle from extreme position to equilibrium position to the maximum acceleration.

1 \(\dfrac{2}{\pi}\)
2 \(\dfrac{4}{\pi}\)
3 \(\dfrac{1}{2 \pi}\)
4 \(\dfrac{1}{\pi}\)