Q. No.Identify the correct definition:
| 1. | If after every certain interval of time, a particle repeats its motion, then the motion is called periodic motion. |
| 2. | To and fro motion of a particle is called oscillatory motion. |
| 3. | Oscillatory motion described in terms of single sine and cosine functions is called simple harmonic motion. |
| 4. | All of the above |
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| 1. | \(e^{\omega t}\) | 2. | \(\text{log}_e(\omega t)\) |
| 3. | \(\text{sin}\omega t+ \text{cos}\omega t\) | 4. | \(e^{-\omega t}\) |
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The rotation of the earth about its axis is:
| 1. | periodic motion |
| 2. | simple harmonic motion |
| 3. | periodic and simple harmonic motion |
| 4. | non-periodic motion |
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The circular motion of a particle with constant speed is:
| 1. | Periodic and simple harmonic | 2. | Simple harmonic but not periodic |
| 3. | Neither periodic nor simple harmonic | 4. | Periodic but not simple harmonic |
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Which one of the following is not an example of simple harmonic motion?
| 1. | the motion of the Moon around the Earth as observed from Mars. |
| 2. | the ripples produced when a stone is dropped into a tank of water. |
| 3. | a weight moving up and down at the end of a spring. |
| 4. | the motion of a ball on the floor. |
| List-I | List-II | ||
| (a) | motion with constant speed | (i) | SHM |
| (b) | motion with constant acceleration | (ii) | uniform circular motion |
| (c) | oscillatory motion | (iii) | projectile motion |
| (d) | random motion | (iv) | molecular motion in gas |
Choose the correct option from the given ones:
| 1. | (a)-(iv), (b)-(ii), (c)-(iii), (d)-(i) |
| 2. | (a)-(i), (b)-(iii), (c)-(ii), (d)-(iv) |
| 3. | (a)-(ii), (b)-(iii), (c)-(i), (d)-(iv) |
| 4. | (a)-(ii), (b)-(iii), (c)-(iv), (d)-(i) |
| 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. | \(A_1^2 \omega_1^2=A_2^2 \omega_2^2=A^2\) |
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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
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1. \({4a \over T}\)
2. \({2a \over T}\)
3. \({2 \pi \over T}\)
4. \({2a \pi \over T}\)
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1. \(0^\circ\)
2. \(\alpha^\circ\)
3. \(90^\circ\)
4. \(180^\circ\)
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