Q. No.| (a) | periodic motion. |
| (b) | simple harmonic motion. |
| (c) | periodic but not simple harmonic motion. |
| (d) | non-periodic motion. |
Choose the correct option from the given ones:
| 1. | (a) and (c) only |
| 2. | (a), (b) and (c) only |
| 3. | (b) and (d) only |
| 4. | (d) only |
Which of the following statements accurately describe various types of motion?
| 1. | A motion that repeats itself at fixed intervals of time is known as periodic motion. |
| 2. | A to-and-fro movement of a particle along the same path about a mean position is called oscillatory motion. |
| 3. | An oscillatory motion that can be expressed mathematically using a single sine or cosine function is termed simple harmonic motion. |
| 4. | All of the above. |
| Assertion (A): | The angular velocity of the moon revolving about the earth is more than the angular velocity of the earth revolving around the sun. |
| Reason (R): | The time taken by the moon to revolve around the earth is less than the time taken by the earth to revolve around the sun. |
| 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. | (A) is False but (R) is True. |
| 1. | \(\dfrac{\pi}{\omega}\) | 2. | \(\dfrac{2\pi}{\omega}\) |
| 3. | \(\dfrac{1}{\omega}\) | 4. | \(\dfrac{\omega}{2\pi}\) |
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 |
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. |
| 1. | translatory | 2. | oscillatory |
| 3. | simple harmonic | 4. | both (2) & (3) |
1. \(2 \pi \sqrt{\frac{l}{g} } \)
2. \(2 \pi \sqrt{\frac{g}{l}} \)
3 \(\frac{1}{2} \pi \sqrt{\frac{l}{g}}\)
4. \(\frac{1}{2 \pi} \sqrt{\frac{g}{l}}\)
The displacement of the particle varies with time according to the relation.
, then
1. The motion is oscillating but not SHM
2. The motion is SHM with amplitude a+b
3. The motion is SHM with amplitude
4. The motion is SHM with amplitude
When two displacements represented by y1=asin(ωt) and y2=bcos(ωt) are superimposed,the motion is -
(1) not a simple harmonic
(2) simple harmonic with amplitude a/b
(3) simple harmonic with amplitude
(4) simple harmonic with amplitude (a+b)/2
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