Q. No.The fundamental frequency of a string is proportional to:
| 1. | the inverse of its length | 2. | the diameter |
| 3. | the tension | 4. | the density |
A tuning fork of frequency 480 Hz is used to vibrate a sonometer wire having natural frequency 240 Hz. The wire will vibrate with a frequency of
1. 240 Hz
2. 480 Hz
3. 720 Hz
4. will not vibrate
A tuning fork of frequency \(480\) Hz is used to vibrate a sonometer wire having natural frequency \(410\) Hz. The wire will vibrate with a frequency:
| 1. | \(410\) Hz | 2. | \(480\) Hz |
| 3. | \(820\) Hz | 4. | \(960\) Hz |
| 1. | vibrate with a frequency of \(416~\text{Hz}\) |
| 2. | vibrate with a frequency of \(208~\text{Hz}\) |
| 3. | vibrate with a frequency of \(832~\text{Hz}\) |
| 4. | stop vibrating |
A sonometer wire supports a \(4~\text{kg}\) load and vibrates in fundamental mode with a tuning fork of frequency \(416~\text{Hz}.\) The length of the wire between the bridges is now doubled. In order to maintain fundamental mode, the load should be changed to:
1. \(1~\text{kg}\)
2. \(2~\text{kg}\)
3. \(8~\text{kg}\)
4. \(16~\text{kg}\)
A standing wave is produced on a string clamped at one end and free at the other. The length of the string:
| 1. | must be an integral multiple of \(\frac{\lambda}{4}\) |
| 2. | must be an integral multiple of \(\frac{\lambda}{2}\) |
| 3. | must be an integral multiple of \(\lambda\) |
| 4. | may be an integral multiple of \(\frac{\lambda}{2}\) |
In a stationary wave,
| (a) | all the particles of the medium vibrate in phase. |
| (b) | all the antinodes vibrate in phase. |
| (c) | the alternate antinodes vibrate in phase. |
| (d) | all the particles between consecutive nodes vibrate in phase. |
Choose the correct option from the given ones:
| 1. | (a) and (b) |
| 2. | (b) and (c) |
| 3. | (c) and (d) |
| 4. | all of these |
An open organ pipe of length \(L\) vibrates in its fundamental mode. The pressure variation is maximum:
| 1. | at the two ends |
| 2. | at the middle of the pipe |
| 3. | at a distance \(\dfrac{L}{4}\) inside the ends |
| 4. | at a distance \(\dfrac{L}{8}\) inside the ends |
An organ pipe, open at both ends, contains
1. longitudinal stationary waves
2. longitudinal travelling waves
3. transverse stationary waves
4. transverse travelling waves
A cylindrical tube, open at both ends, has a fundamental frequency \(\nu.\) The tube is dipped vertically in water so that half of its length is inside the water. The new fundamental frequency is:
1. \(\dfrac{\nu}{4}\)
2. \(\dfrac{\nu}{2}\)
3. \(\nu\)
4. \(2\nu\)
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