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Q. No.A particle moves in a circular path with a uniform speed. Its motion is:
| 1. | periodic |
| 2. | oscillatory |
| 3. | simple harmonic |
| 4. | angular simple harmonic |
Subtopic: Types of Motion |
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The motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower point is
| (a) | simple harmonic motion |
| (b) | non-periodic motion |
| (c) | periodic motion |
| (d) | periodic but not SHM |
Choose the correct alternatives:
1. (a), (c)
2. (a), (d)
3. (c), (d)
4. (b), (c)
Subtopic: Simple Harmonic Motion |
52%
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The rotation of the earth about its axis is:
| (a) | periodic motion |
| (b) | simple harmonic motion |
| (c) | periodic but not simple harmonic motion |
| (d) | non-periodic motion |
Choose the correct alternatives:
1. (a), (b), (d)
2. (a), (c)
3. (b), (d)
4. (c), (d)
Subtopic: Types of Motion |
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The two-dimensional motion of a particle, described by \(\overrightarrow{\mathbf{r}}=\begin{pmatrix}\hat{i}+2\hat{j}\end{pmatrix} A\cos\omega t\) is a/ an:
A. parabolic path
B. elliptical path
C. periodic motion
D. simple harmonic motion
Choose the correct answer from the options given below:
A. parabolic path
B. elliptical path
C. periodic motion
D. simple harmonic motion
Choose the correct answer from the options given below:
| 1. | B, C, and D only | 2. | A, B, and C only |
| 3. | A, C, and D only | 4. | C and D only |
Subtopic: Types of Motion |
51%
From NCERT
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The figure depicts four \((\mathrm{x\text-t})\) plots for the linear motion of a particle.
| (a) |  |
| (b) |  |
| (c) |  |
| (d) |  |
Which of the following is true?
1. (a) is periodic but (c) is not periodic.
2. (b) is periodic but (d) is not periodic.
3. (b) and (d) are periodic.
4. only (c) is periodic.
Subtopic: Types of Motion |
79%
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A particle moves in the \(\mathrm{XY}-\text{plane}\) according to the equation \(\vec{r}=\left ( 5\hat{i}+3\hat{j} \right )\text{sin}(2t).\) The motion of the particle is along:
| 1. | a straight line and is periodic. |
| 2. | a circle and is non-periodic. |
| 3. | an ellipse and is periodic. |
| 4. | a parabola and is non-periodic. |
Subtopic: Simple Harmonic Motion |
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On average, a human heart is found to beat \(72\) times per minute. The frequency of heartbeat will be:
| 1. | \(0.833\) s–1 | 2. | \(1.2\) s–1 |
| 3. | \(12\) s–1 | 4. | \(72\) s–1 |
Subtopic: Types of Motion |
72%
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A particle executes SHM with an amplitude \(A\) and the time period \(T\). If at \(t=0,\) the particle is at its origin (mean position), then the time instant when it covers a distance equal to \(2.5A\) will be:
| 1. | \( \frac{T}{12} \) | 2. | \(\frac{5 T}{12} \) |
| 3. | \( \frac{7 T}{12} \) | 4. | \(\frac{2 T}{3}\) |
Subtopic: Linear SHM |
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\((\text{sin}\omega t+\text{cos}\omega t)\) is a periodic function, its time period will be:
| 1. | \(\dfrac{\pi}{\omega}\) | 2. | \(\dfrac{2\pi}{\omega}\) |
| 3. | \(\dfrac{1}{\omega}\) | 4. | \(\dfrac{\omega}{2\pi}\) |
Subtopic: Types of Motion |
86%
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Choose the incorrect statement:
| 1. | All SHM's have a fixed time period. |
| 2. | All motions having the same time period are SHM. |
| 3. | In SHM, the total energy is proportional to the square of the amplitude. |
| 4. | Phase constant of SHM depends on initial conditions. |
Subtopic: Energy of SHM |
73%
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