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Q. No.A spring-mass system oscillates in a car. If the car accelerates on a horizontal road, the frequency of oscillation will:
1. increase
2. decrease
3. remain same
4. become zero
1. increase
2. decrease
3. remain same
4. become zero
Subtopic: Spring mass system |
68%
From NCERT
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Two springs, one of spring constant \(100~\text{Nm}^{-1}\) and the other of \(300~\text{Nm}^{-1}\) are joined vertically one above the other, and hung from support at the top. A mass of \(3~\text{kg}\) is attached to the lower spring. The time period of simple harmonic motion of such a system is:
| 1. | \(\dfrac{4\pi}{10}~\text{s}\) | 2. | \(\dfrac{3\pi}{10}~\text{s}\) |
| 3. | \(\dfrac{2\pi}{7}~\text{s}\) | 4. | \(\dfrac{\pi}{10}~\text{s}\) |
Subtopic: Spring mass system |
87%
From NCERT
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An electric motor of mass \(40~\text{kg}\) is mounted on four vertical springs each having a spring constant of \(4000~\text{Nm}^{-1}.\) The period with which the motor vibrates vertically is:
1. \(0.314~\text s\)
2. \(3.14~\text s\)
3. \(0.628~\text s\)
4. \(0.157~\text s\)
1. \(0.314~\text s\)
2. \(3.14~\text s\)
3. \(0.628~\text s\)
4. \(0.157~\text s\)
Subtopic: Combination of Springs |
64%
From NCERT
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If a simple pendulum be suspended in an elevator which is moving upward, its time period is found to decrease by \(2\%.\) The acceleration of the elevator is (in magnitude):
1. \(2\%\) of \(g\)
2. \(1\%\) of \(g\)
3. \(4\%\) of \(g\)
4. \(102\%\) of \(g\)
1. \(2\%\) of \(g\)
2. \(1\%\) of \(g\)
3. \(4\%\) of \(g\)
4. \(102\%\) of \(g\)
Subtopic: Angular SHM |
77%
From NCERT
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During simple harmonic motion of a body, the energy at the extreme position is:
| 1. | both kinetic and potential |
| 2. | is always zero |
| 3. | purely kinetic |
| 4. | purely potential |
Subtopic: Energy of SHM |
80%
From NCERT
NEET - 2022
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Given below are two statements:
| Assertion (A): | The combination of \(y=\text{sin}\omega t+\text{cos}2\omega t\) is not a simple harmonic function even though it is periodic. |
| Reason (R): | All periodic functions satisfy the relation \( \dfrac{d^{2} y}{d t^{2}}=-k y \). |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Simple Harmonic Motion |
From NCERT
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A particle executes simple harmonic motion between \(x=-A\) and \(x=+A.\) The time taken for it to move from \(0\) to \(A/2\) is \(T_1\) and the time to move from \(A/2\) to \(A\) is \(T_2.\) Then:
1. \(T_{1}<T_{2}\)
2. \(T_{1}>T_{2}\)
3. \(T_{1}=T_{2}\)
4. \(T_{1}=2 T_{2}\)
1. \(T_{1}<T_{2}\)
2. \(T_{1}>T_{2}\)
3. \(T_{1}=T_{2}\)
4. \(T_{1}=2 T_{2}\)
Subtopic: Linear SHM |
74%
From NCERT
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A body is performing simple harmonic motion with an amplitude of \(10~\text{cm}.\) The velocity of the body was tripled by air jet when it is at \(5~\text{cm}\) from its mean position. The new amplitude of vibration is \(\sqrt x~\text{cm}.\) The value of \(x \) is:
| 1. | \(500\) | 2. | \(600\) |
| 3. | \(700\) | 4. | \(800\) |
Subtopic: Simple Harmonic Motion |
65%
From NCERT
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A spring is stretched by \(5~\text{cm}\) by a force \(10~\text{N}\). The time period of the oscillations when a mass of \(2~\text{kg}\) is suspended by it is:
1. \(3.14~\text{s}\)
2. \(0.628~\text{s}\)
3. \(0.0628~\text{s}\)
4. \(6.28~\text{s}\)
Subtopic: Spring mass system |
70%
From NCERT
NEET - 2021
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A block of mass \(M\) is connected to a spring constant \(k.\) It oscillates on the frictionless inclined surface as shown in the figure. The time period of oscillation is:
| 1. | \(T=2 \pi \sqrt{\dfrac{M}{k}}\) | 2. | \(T=2 \pi \sqrt{\dfrac{k}{M}}\) |
| 3. | \(T=\dfrac{1}{2 \pi} \sqrt{\dfrac{k}{M}}\) | 4. | \(T=2 \pi \sqrt{\dfrac{M}{k}} \sin \theta\) |
Subtopic: Spring mass system |
81%
From NCERT
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