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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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Level 1: 80%+
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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 |
59%
Level 3: 35%-60%
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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 |
88%
Level 1: 80%+
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The two-dimensional motion of a particle, described by \(\vec{r}=(\hat{i}+2\hat{j}) A~\text{cos}(\omega t) \) is a/an:
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 |
53%
Level 3: 35%-60%
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The figure depicts four \(({x\text-t})\) 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 |
80%
Level 1: 80%+
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A particle moves in the \(\mathrm{XY}\text-\text{plane}\) 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 |
53%
Level 3: 35%-60%
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On average, a human heart is found to beat \(72\) times per minute. The frequency of heartbeat will be:
1. \(0.833~\text s^{-1}\)
2. \(1.2~\text s^{-1}\)
3. \(12~\text s^{-1}\)
4. \(72~\text s^{-1}\)
1. \(0.833~\text s^{-1}\)
2. \(1.2~\text s^{-1}\)
3. \(12~\text s^{-1}\)
4. \(72~\text s^{-1}\)
Subtopic: Types of Motion |
72%
Level 2: 60%+
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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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Level 3: 35%-60%
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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%
Level 1: 80%+
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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%
Level 2: 60%+
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