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) | \(=100~\text{m s}^{-1}\). | The wave velocity
(b) | \(=2.0~\text{m}\). | The wavelength
(c) | \(=25/\pi~\text{Hz}\). | The frequency
(d) | \(=0.001~\text{mm}\). | The amplitude
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 \(\frac{\lambda}{2}\) |
1. | The energy of any small part of a string remains constant in a travelling wave. |
2. | The energy of any small part of a string remains constant in a standing wave. |
3. | The energies of all the small parts of equal length are equal in a travelling wave. |
4. | The energies of all the small parts of equal length are equal in a standing wave. |
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 |
Consider the following statements about sound passing through a gas.
Statement I: | The pressure of the gas at a point oscillates in time. |
Statement II: | The position of a small layer of the gas oscillates in time. |
1. | Both Statement I and Statement II are correct. |
2. | Statement I is correct and Statement II is incorrect. |
3. | Statement I is incorrect and Statement II is correct. |
4. | Both Statement I and Statement II are incorrect. |
When we clap our hands, the sound produced is best described by:
(here \(p\) denotes the change in pressure from the equilibrium value)
1. \(p = p_0 \sin(kx – ωt)\)
2. \(p = p_0 \sin kx\cos ωt\)
3. \(p = p_0 \cos kx \sin ωt\)
4. \(p = \sum p_{0n} \sin(k_nx – ω_nt)\)