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 |
From the given functions, identify the function which represents a periodic motion:
| 1. | \(e^{\omega t}\) | 2. | \(\text{log}_e(\omega t)\) |
| 3. | \(\text{sin}\omega t+ \text{cos}\omega t\) | 4. | \(e^{-\omega t}\) |
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. |
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 |
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 |
Codes:
| 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) |
The angular velocities of three bodies in simple harmonic motion are with their respective amplitudes as . If all the three bodies have the same mass and maximum velocity, then:
| 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. | \(A_1^2 \omega_1^2=A_2^2 \omega_2^2=A^2\) |
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
An SHM has an amplitude \(a\) and a time period \(T.\) The maximum velocity will be:
1. \({4a \over T}\)
2. \({2a \over T}\)
3. \({2 \pi \over T}\)
4. \({2a \pi \over T}\)
Two equations of S.H.M. are and . The phase difference between the two is:
1. \(0^\circ\)
2. \(\alpha^\circ\)
3. \(90^\circ\)
4. \(180^\circ\)
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