Q. No.If a particle in SHM has a time period of \(0.1\) s and an amplitude of \(6\) cm, then its maximum velocity will be:
1. \(120 \pi\) cm/s
2. \(0.6 \pi\) cm/s
3. \(\pi\) cm/s
4. \(6\) cm/s
Subtopic: Simple Harmonic Motion |
91%
From NCERT
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The angular velocities of three bodies in simple harmonic motion are \(\omega_1, \omega_2, \omega_3\) with their respective amplitudes as \(A_1, A_2, A_3.\) If all the three bodies have the same mass and maximum velocity, then:
| 1. | \(A_1 \omega_1=A_2 \omega_2=A_3 \omega_3\) |
| 2. | \(A_1 \omega_1^2=A_2 \omega_2^2=A_3 \omega_3^2\) |
| 3. | \(A_1^2 \omega_1=A_2^2 \omega_2=A_3^2 \omega_3\) |
| 4. | \(A_1^2 \omega_1^2=A_2^2 \omega_2^2=A^2\) |
Subtopic: Simple Harmonic Motion |
91%
From NCERT
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An SHM has an amplitude \(a\) and a time period \(T.\) The maximum velocity will be:
1. \({4a \over T}\)
2. \({2a \over T}\)
3. \({2 \pi \over T}\)
4. \({2a \pi \over T}\)
1. \({4a \over T}\)
2. \({2a \over T}\)
3. \({2 \pi \over T}\)
4. \({2a \pi \over T}\)
Subtopic: Simple Harmonic Motion |
91%
From NCERT
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Which one of the following statements is true for the speed \(v\) and the acceleration \(a\) of a particle executing simple harmonic motion?
| 1. | The value of \(a\) is zero whatever may be the value of \(v\). |
| 2. | When \(v\) is zero, \(a\) is zero. |
| 3. | When \(v\) is maximum, \(a\) is zero. |
| 4. | When \(v\) is maximum, \(a\) is maximum. |
Subtopic: Simple Harmonic Motion |
87%
From NCERT
AIPMT - 2004
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In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of:
| 1. | Spring constant | 2. | Angular frequency |
| 3. | (Angular frequency)2 | 4. | Restoring force |
Subtopic: Simple Harmonic Motion |
82%
From NCERT
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The equation of motion of a particle is \({d^2y \over dt^2}+Ky=0 \) where \(K\) is a positive constant. The time period of the motion is given by:
| 1. | \(2 \pi \over K\) | 2. | \(2 \pi K\) |
| 3. | \(2 \pi \over \sqrt{K}\) | 4. | \(2 \pi \sqrt{K}\) |
Subtopic: Simple Harmonic Motion |
77%
From NCERT
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The displacement versus time curve for a particle executing SHM is shown in the figure.
Choose the correct statement/s.
| 1. | The phase of the oscillator is the same at \(t = 0~\text{s}~\text{and}~t = 2~\text{s}\). |
| 2. | The phase of the oscillator is the same at \(t = 2~\text{s}~\text{and}~t = 6~\text{s}\). |
| 3. | The phase of the oscillator is the same at \(t = 1~\text{s}~\text{and}~t = 7~\text{s}\). |
| 4. | The phase of the oscillator is the same at \(t = 1~\text{s}~\text{and}~t = 5~\text{s}\). |
Choose the correct statement/s.
| 1. | \(1,2~\text{and}~4\) | 2. | \(1~\text{and}~3\) |
| 3. | \(2~\text{and}~4\) | 4. | \(3~\text{and}~4\) |
Subtopic: Simple Harmonic Motion |
72%
From NCERT
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The motion of a particle varies with time according to the relation \(y= a\sin\omega t+ a\cos \omega t\). Then:
| 1. | the motion is oscillatory but not SHM. |
| 2. | the motion is SHM with an amplitude \(a\sqrt{2}\). |
| 3. | the motion is SHM with an amplitude \(\sqrt{2}\). |
| 4. | the motion is SHM with an amplitude \(a\). |
Subtopic: Simple Harmonic Motion |
73%
From NCERT
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The velocity-time diagram of a harmonic oscillator is shown in the figure given below. The frequency of oscillation will be:
1. \(25~\text{Hz}\)
2. \(50~\text{Hz}\)
3. \(12.25~\text{Hz}\)
4. \(33.3~\text{Hz}\)
Subtopic: Simple Harmonic Motion |
75%
From NCERT
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Which of the following relationships between the acceleration \(a\) and the displacement \(x\) of a particle involves simple harmonic motion?
1. \(a = 0 . 7 x\)
2. \(a = - 200 x^{2} \)
3. \(a = - 10 x\)
4. \(a = 100 x^{3}\)
Subtopic: Simple Harmonic Motion |
76%
From NCERT
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