A sonometer wire of length l vibrates in fundamental mode when excited by a tuning fork of frequency 416 Hz. If the length is doubled keeping other things same, the string will
1. vibrate with a frequency of 416 Hz
2. vibrate with a frequency of 208 Hz
3. vibrate with a frequency of 832 Hz
4. stop vibrating
A sonometer wire supports a 4 kg load and vibrates in fundamental mode with a tuning fork of frequency 416 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 kg
2. 2 kg
3. 8 kg
4. 16 kg
A mechanical wave propagates in a medium along the \(\mathrm{X}\)-axis. The particles of the medium:
(a) | \(\mathrm{X}\)-axis | must move on the
(b) | \(\mathrm{Y}\)-axis | must move on the
(c) | \(\mathrm{X}\)-axis | may move on the
(d) | \(\mathrm{Y}\)-axis | may move on the
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:
1. | (a) and (b) |
2. | (b) and (d) |
3. | (b) and (c) |
4. | (a) and (d) |
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 mm) sin (50 s–1)t + (2.0 m–1)x].
(a) The wave velocity =100 m s–1.
(b) The wavelength = 2.0 m.
(c) The frequency = 25/\(\pi\) Hz.
(d) The amplitude = 0.001 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 \(\frac{\lambda}{2}\) |