Damped Simple Harmonic Motion
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PHXI14:OSCILLATIONS

364288 Assertion :
The graph between velocity and displacement for a harmonic oscillator is a parabola.
Reason :
Velocity does not change uniformly with displacement in simple harmonic motion.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364289 A particle performing SHM having amplitude ' \(a\) ' possesses velocity \(\dfrac{(3)^{1 / 2}}{2}\) times the velocity at the mean position. The displacement of the particle shall be

1 \(\dfrac{a}{2}\)
2 \((3)^{1 / 2} \dfrac{a}{2}\)
3 \(\left(\dfrac{a}{2}\right)^{1 / 2}\)
4 \((2)^{1 / 2} a\)
PHXI14:OSCILLATIONS

364290 A particle executing simple harmonic motion has an amplitude of \(6\;cm\). Its acceleration at distance of \(2\;cm\) from the mean position is \(8\;cm/{s^2}\). The maximum speed of the particle is

1 \(8\;cm/s\)
2 \(12\;cm/s\)
3 \(16\;cm/s\)
4 \(24\;cm/s\)
PHXI14:OSCILLATIONS

364291 What is the maximum acceleration of the particle doing the SHM?
\(y = 2\sin \left[ {\frac{{\pi t}}{2} + \phi } \right]{\rm{where}}\,\,y\,\,{\rm{is}}\,\,{\rm{in}}\,\,cm\)

1 \(\frac{\pi }{2}\;cm/{s^2}\)
2 \(\frac{{{\pi ^2}}}{2}\;cm/{s^2}\)
3 \(\frac{\pi }{4}\;cm/{s^2}\)
4 \(\frac{{{\pi ^2}}}{4}\;cm/{s^2}\)
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PHXI14:OSCILLATIONS

364288 Assertion :
The graph between velocity and displacement for a harmonic oscillator is a parabola.
Reason :
Velocity does not change uniformly with displacement in simple harmonic motion.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364289 A particle performing SHM having amplitude ' \(a\) ' possesses velocity \(\dfrac{(3)^{1 / 2}}{2}\) times the velocity at the mean position. The displacement of the particle shall be

1 \(\dfrac{a}{2}\)
2 \((3)^{1 / 2} \dfrac{a}{2}\)
3 \(\left(\dfrac{a}{2}\right)^{1 / 2}\)
4 \((2)^{1 / 2} a\)
PHXI14:OSCILLATIONS

364290 A particle executing simple harmonic motion has an amplitude of \(6\;cm\). Its acceleration at distance of \(2\;cm\) from the mean position is \(8\;cm/{s^2}\). The maximum speed of the particle is

1 \(8\;cm/s\)
2 \(12\;cm/s\)
3 \(16\;cm/s\)
4 \(24\;cm/s\)
PHXI14:OSCILLATIONS

364291 What is the maximum acceleration of the particle doing the SHM?
\(y = 2\sin \left[ {\frac{{\pi t}}{2} + \phi } \right]{\rm{where}}\,\,y\,\,{\rm{is}}\,\,{\rm{in}}\,\,cm\)

1 \(\frac{\pi }{2}\;cm/{s^2}\)
2 \(\frac{{{\pi ^2}}}{2}\;cm/{s^2}\)
3 \(\frac{\pi }{4}\;cm/{s^2}\)
4 \(\frac{{{\pi ^2}}}{4}\;cm/{s^2}\)
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PHXI14:OSCILLATIONS

364288 Assertion :
The graph between velocity and displacement for a harmonic oscillator is a parabola.
Reason :
Velocity does not change uniformly with displacement in simple harmonic motion.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364289 A particle performing SHM having amplitude ' \(a\) ' possesses velocity \(\dfrac{(3)^{1 / 2}}{2}\) times the velocity at the mean position. The displacement of the particle shall be

1 \(\dfrac{a}{2}\)
2 \((3)^{1 / 2} \dfrac{a}{2}\)
3 \(\left(\dfrac{a}{2}\right)^{1 / 2}\)
4 \((2)^{1 / 2} a\)
PHXI14:OSCILLATIONS

364290 A particle executing simple harmonic motion has an amplitude of \(6\;cm\). Its acceleration at distance of \(2\;cm\) from the mean position is \(8\;cm/{s^2}\). The maximum speed of the particle is

1 \(8\;cm/s\)
2 \(12\;cm/s\)
3 \(16\;cm/s\)
4 \(24\;cm/s\)
PHXI14:OSCILLATIONS

364291 What is the maximum acceleration of the particle doing the SHM?
\(y = 2\sin \left[ {\frac{{\pi t}}{2} + \phi } \right]{\rm{where}}\,\,y\,\,{\rm{is}}\,\,{\rm{in}}\,\,cm\)

1 \(\frac{\pi }{2}\;cm/{s^2}\)
2 \(\frac{{{\pi ^2}}}{2}\;cm/{s^2}\)
3 \(\frac{\pi }{4}\;cm/{s^2}\)
4 \(\frac{{{\pi ^2}}}{4}\;cm/{s^2}\)
For More Updates join with Us
PHXI14:OSCILLATIONS

364288 Assertion :
The graph between velocity and displacement for a harmonic oscillator is a parabola.
Reason :
Velocity does not change uniformly with displacement in simple harmonic motion.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI14:OSCILLATIONS

364289 A particle performing SHM having amplitude ' \(a\) ' possesses velocity \(\dfrac{(3)^{1 / 2}}{2}\) times the velocity at the mean position. The displacement of the particle shall be

1 \(\dfrac{a}{2}\)
2 \((3)^{1 / 2} \dfrac{a}{2}\)
3 \(\left(\dfrac{a}{2}\right)^{1 / 2}\)
4 \((2)^{1 / 2} a\)
PHXI14:OSCILLATIONS

364290 A particle executing simple harmonic motion has an amplitude of \(6\;cm\). Its acceleration at distance of \(2\;cm\) from the mean position is \(8\;cm/{s^2}\). The maximum speed of the particle is

1 \(8\;cm/s\)
2 \(12\;cm/s\)
3 \(16\;cm/s\)
4 \(24\;cm/s\)
PHXI14:OSCILLATIONS

364291 What is the maximum acceleration of the particle doing the SHM?
\(y = 2\sin \left[ {\frac{{\pi t}}{2} + \phi } \right]{\rm{where}}\,\,y\,\,{\rm{is}}\,\,{\rm{in}}\,\,cm\)

1 \(\frac{\pi }{2}\;cm/{s^2}\)
2 \(\frac{{{\pi ^2}}}{2}\;cm/{s^2}\)
3 \(\frac{\pi }{4}\;cm/{s^2}\)
4 \(\frac{{{\pi ^2}}}{4}\;cm/{s^2}\)