Force, Energy and their relation in Simple Harmonic Motion
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PHXI14:OSCILLATIONS

364137 The total energy of a body executing simple harmonic motion is \({E}\). The kinetic energy when the displacement is \({1 / 3}\) of the amplitude

1 \({\dfrac{\sqrt{3}}{8} E}\)
2 \({\dfrac{8}{\sqrt{3}} E}\)
3 \({\dfrac{8}{9} E}\)
4 \({\dfrac{3}{8} E}\)
PHXI14:OSCILLATIONS

364138 A particle is executing simple harmonic motion \(S H M\). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be

1 \(1: 1\)
2 \(1: 3\)
3 \(1: 4\)
4 \(2: 1\)
JEE - 2023
PHXI14:OSCILLATIONS

364139 Which of the following quantities is always negative in SHM?
Here \(\mathrm{s}\) is displacement from mean position

1 \(\vec F \cdot \vec a\)
2 \(\vec v \cdot \vec s\)
3 \(\vec a \cdot \vec s\)
4 \(\vec F \cdot \vec v\)
PHXI14:OSCILLATIONS

364140 A particle of mass \(m\) moving along the \(x\)-axis has a potential energy \(U(x)=a+b x^{2}\) where \(a\) and \(b\) are positive constants. It will execute simple harmonic motion with a frequency determined by the value of

1 \(b\) and \(a\) alone
2 \(b\) alone
3 \(b, a\) and \(m\) alone
4 \(b\) and \(m\) alone
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PHXI14:OSCILLATIONS

364137 The total energy of a body executing simple harmonic motion is \({E}\). The kinetic energy when the displacement is \({1 / 3}\) of the amplitude

1 \({\dfrac{\sqrt{3}}{8} E}\)
2 \({\dfrac{8}{\sqrt{3}} E}\)
3 \({\dfrac{8}{9} E}\)
4 \({\dfrac{3}{8} E}\)
PHXI14:OSCILLATIONS

364138 A particle is executing simple harmonic motion \(S H M\). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be

1 \(1: 1\)
2 \(1: 3\)
3 \(1: 4\)
4 \(2: 1\)
JEE - 2023
PHXI14:OSCILLATIONS

364139 Which of the following quantities is always negative in SHM?
Here \(\mathrm{s}\) is displacement from mean position

1 \(\vec F \cdot \vec a\)
2 \(\vec v \cdot \vec s\)
3 \(\vec a \cdot \vec s\)
4 \(\vec F \cdot \vec v\)
PHXI14:OSCILLATIONS

364140 A particle of mass \(m\) moving along the \(x\)-axis has a potential energy \(U(x)=a+b x^{2}\) where \(a\) and \(b\) are positive constants. It will execute simple harmonic motion with a frequency determined by the value of

1 \(b\) and \(a\) alone
2 \(b\) alone
3 \(b, a\) and \(m\) alone
4 \(b\) and \(m\) alone
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PHXI14:OSCILLATIONS

364137 The total energy of a body executing simple harmonic motion is \({E}\). The kinetic energy when the displacement is \({1 / 3}\) of the amplitude

1 \({\dfrac{\sqrt{3}}{8} E}\)
2 \({\dfrac{8}{\sqrt{3}} E}\)
3 \({\dfrac{8}{9} E}\)
4 \({\dfrac{3}{8} E}\)
PHXI14:OSCILLATIONS

364138 A particle is executing simple harmonic motion \(S H M\). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be

1 \(1: 1\)
2 \(1: 3\)
3 \(1: 4\)
4 \(2: 1\)
JEE - 2023
PHXI14:OSCILLATIONS

364139 Which of the following quantities is always negative in SHM?
Here \(\mathrm{s}\) is displacement from mean position

1 \(\vec F \cdot \vec a\)
2 \(\vec v \cdot \vec s\)
3 \(\vec a \cdot \vec s\)
4 \(\vec F \cdot \vec v\)
PHXI14:OSCILLATIONS

364140 A particle of mass \(m\) moving along the \(x\)-axis has a potential energy \(U(x)=a+b x^{2}\) where \(a\) and \(b\) are positive constants. It will execute simple harmonic motion with a frequency determined by the value of

1 \(b\) and \(a\) alone
2 \(b\) alone
3 \(b, a\) and \(m\) alone
4 \(b\) and \(m\) alone
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PHXI14:OSCILLATIONS

364137 The total energy of a body executing simple harmonic motion is \({E}\). The kinetic energy when the displacement is \({1 / 3}\) of the amplitude

1 \({\dfrac{\sqrt{3}}{8} E}\)
2 \({\dfrac{8}{\sqrt{3}} E}\)
3 \({\dfrac{8}{9} E}\)
4 \({\dfrac{3}{8} E}\)
PHXI14:OSCILLATIONS

364138 A particle is executing simple harmonic motion \(S H M\). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be

1 \(1: 1\)
2 \(1: 3\)
3 \(1: 4\)
4 \(2: 1\)
JEE - 2023
PHXI14:OSCILLATIONS

364139 Which of the following quantities is always negative in SHM?
Here \(\mathrm{s}\) is displacement from mean position

1 \(\vec F \cdot \vec a\)
2 \(\vec v \cdot \vec s\)
3 \(\vec a \cdot \vec s\)
4 \(\vec F \cdot \vec v\)
PHXI14:OSCILLATIONS

364140 A particle of mass \(m\) moving along the \(x\)-axis has a potential energy \(U(x)=a+b x^{2}\) where \(a\) and \(b\) are positive constants. It will execute simple harmonic motion with a frequency determined by the value of

1 \(b\) and \(a\) alone
2 \(b\) alone
3 \(b, a\) and \(m\) alone
4 \(b\) and \(m\) alone
For More Updates join with Us
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