Q. No.A sonometer wire of length \(l\) vibrates in fundamental mode when excited by a tuning fork of frequency \(416~\text{Hz}\). If the length is doubled keeping other things the same, the string will be:
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 mechanical wave propagates in a medium along the \(\mathrm{X}\)-axis. The particles of the medium:
| (a) | must move on the \(\mathrm{X}\)-axis |
| (b) | must move on the \(\mathrm{Y}\)-axis |
| (c) | may move on the \(\mathrm{X}\)-axis |
| (d) | may move on the \(\mathrm{Y}\)-axis |
Choose the correct option from the given ones:
| 1. | (a) and (b) only |
| 2. | (b) and (c) only |
| 3. | (c) and (d) only |
| 4. | (a), (b), (c) and (d) |
A transverse wave travels along the Z-axis. The particles of the medium must move:
| 1. | along the Z-axis | 2. | along the X-axis |
| 3. | along the Y-axis | 4. | in the X-Y plane |
Longitudinal waves cannot
1. have a unique wavelength
2. transmit energy
3. have a unique wave velocity
4. be polarized
A wave going in a solid,
| (a) | must be longitudinal |
| (b) | may be longitudinal |
| (c) | must be transverse |
| (d) | may be transverse |
Choose the correct option from the given ones:
| 1. | (a) and (b) only |
| 2. | (b) and (d) only |
| 3. | (b) and (c) only |
| 4. | (a) and (d) only |
A wave moving in a gas:
| 1. | must be longitudinal | 2. | may be longitudinal |
| 3. | must be transverse | 4. | may be transverse |
Two particles A and B have a phase difference of π when a sine wave passes through the region.
| (a) | A oscillates at half the frequency of B. |
| (b) | A and B move in opposite directions. |
| (c) | A and B must be separated by half of the wavelength. |
| (d) | The displacements at A and B have equal magnitudes. |
Choose the correct option:
| 1. | (a), (b) and (c) |
| 2. | (b), (c) and (d) |
| 3. | (a) and (b) |
| 4. | (b) and (c) |
A wave is represented by the equation \(y=(0.001~\text{mm})\sin[(50~\text{s}^{-1})t+(2.0~\text{m}^{-1})x].\)
| (a) | The wave velocity \(=100~\text{m s}^{-1}\). |
| (b) | The wavelength \(=2.0~\text{m}\). |
| (c) | The frequency \(=25/\pi~\text{Hz}\). |
| (d) | The amplitude \(=0.001~\text{mm}\). |
Choose the correct option:
| 1. | (a) and (b) |
| 2. | (b) and (c) |
| 3. | (c) and (d) |
| 4. | all of these |
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 \(\frac{\lambda}{2}\) |
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