Q. No.Which of the following examples represents periodic motion?
| 1. | A swimmer completes one (return) trip from one bank of a river to the other and back. |
| 2. | A freely suspended bar magnet is displaced from its N-S direction and released. |
| 3. | Swaying off the branches of the tree. |
| 4. | An arrow released from a bow. |
| 1. | The rotation of the earth about its axis. |
| 2. | The motion of an oscillating mercury column in a U-tube. |
| 3. | General vibrations of a polyatomic molecule about its equilibrium position. |
| 4. | A fan rotating with a constant angular velocity. |
The figure depicts four (x-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. | a simple harmonic function. |
| 2. | a simple harmonic function but not a periodic function. |
| 3. | both periodic and simple harmonic functions. |
| 4. | only periodic function. |
A particle is in linear simple harmonic motion between two points, A and B, 10 cm apart. (Take the direction from A to B as the positive direction.) The signs of velocity, acceleration, and force on the particle when it is at 3 cm away from A going towards B are:
| 1. | Zero, Negative, Negative |
| 2. | Negative, Zero, Zero |
| 3. | Negative, Negative, Negative |
| 4. | Positive, Positive, Positive |
Which of the following relationships between the acceleration a and the displacement x of a particle involves simple harmonic motion?
1. a=0.7x
2. a=−200x2
3. a=−10x
4. a=100x3
A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. What is the weight of the body?
1. 219 N
2. 196 N
3. 223 N
4. 225 N
A spring having a spring constant of 1200 N/m is mounted on a horizontal table as shown in the figure. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released. The frequency of oscillations will be:
| 1. | 3.0 s−1 | 2. | 2.7 s−1 |
| 3. | 1.2 s−1 | 4. | 3.2 s−1 |
A spring having a spring constant of 1200 N/m is mounted on a horizontal table as shown in the figure. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released. The maximum acceleration of the mass is:
| 1. | 6 ms–2 | 2. | 8 ms–2 |
| 3. | 3.3 ms–2 | 4. | 5.1 ms–2 |
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