Longitudinal waves cannot:
- Have a unique wavelength
- Transmit energy
- Have a unique wave velocity
- Be polarized.
Question types
Wave Motion and Waves on a String question types
80 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.
80
Questions
5
Question groups
5
Question types
01
M.C.Q [1M]
32 Q→021 Marks Question
9 Q→033 Marks Question
23 Q→044 Marks Questions
2 Q→05Long Answer Type Questions [5M]
14 Q→Sample Questions
Wave Motion and Waves on a String questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
View full solution →
Two sine waves travel in the same direction in a medium. The amplitude of each wave is A and the phase difference between the two waves is 120°. The resultant amplitude will be:
View full solution →- A
- 2A
- 4A
- $\sqrt{2}\text{A}.$
Two strings A and B, made of same material, are stretched by same tension. The radius of string A is double of the radius of B. A transverse wave travels on A with speed $\nu_\text{A}$ and on B with speed $\nu_\text{B}.$ The ratio $\frac{\nu_\text{A}}{\nu_\text{B}}$ is:
View full solution →-
$\frac{1}{2}$
-
$2$
-
$\frac{1}{4}$
-
$4.$
The fundamental frequency of a string is proportional to:
- Inverse of its length.
- The diameter.
- The tension.
- The density.
Velocity of sound in air is 332m/s. Its velocity in vacuum will be:
- > 332m/s
- = 332 m/s
- < 332m/s
- Meaningless.
A wave is represented by an equation $\text{y}=\text{c}_1\sin(\text{c}_2\text{x}+\text{c}_3\text{t}).$ In which direction is the wave going ? Assume that c1, c2 and c3 are all positive.
View full solution →A string clamped at both ends vibrates in its fundamental mode. Is there any position (except the ends) on the string which can be touched without disturbing the motion? What if the string vibrates in its first overtone?
You are walking along a seashore and a mild wind is blowing. Is the motion of air a wave motion?
Two wave pulses identical in shape but inverted with respect to each other are produced at the two ends of a stretched string. At an instant when the pulses reach the middle, the string becomes completely straight. What happens to the energy of the two pulses?
If the speed of a transverse wave on a stretched string of length 1m is 60m/s, what is the fundamental frequency of vibration?
A transverse wave of amplitude 0.50mm and frequency 100Hz is produced on a wire stretched to a tension of 100N. If the wave speed is 100m/s, what average power is the source transmitting to the wire?
A string of length 40cm and weighing 10g is attached to a spring at one end and to a fixed wall at the other end. The spring has a spring constant of 160N/m and is stretched by 1.0cm. If a wave pulse is produced on the string near the wall, how much time will it take to reach the spring?
A transverse wave described by
View full solution →$\text{y}=(0.02\text{m})\sin\Big[(1.0\text{m}^{-1})\text{x}+(30\text{s}^{-1})\text{t}\Big]$
propagates on a stretched string having a linear mass density of 1.2 x 10-4kg/m. Find the tension in the string.Figure, shows a string stretched by a block going over a pulley. The string vibrates in its tenth harmonic in unison with a particular tuning fork. When a beaker containing water is brought under the block so that the block is completely dipped into the beaker, the string vibrates in its eleventh harmonic. Find the density of the material of the block.
Figure, shows an aluminium wire of length 60cm joined to a steel wire of length 80cm and stretched between two fixed supports. The tension produced is 40N. The cross-sectional area of the steel wire is 1.0mm2 and that of the aluminium wire is 3.0 mm2. What could be the minimum frequency of a tuning fork which can produce standing waves in the system with the joint as a node? The density of aluminium is 2.6g/cm3 and that of steel is 7.8g/cm3.
The radio and TV programmes, telecast at the studio, reach our antenna by wave motion. Is it a mechanical wave or nonmechanical?
A 4.0kg block is suspended from the ceiling of an elevator through a, string having a linear mass density of 19.2 × 10-3kg/m. Find the speed (with respect to the string) with which a wave pulse can proceed on the string if the elevator accelerates up at the rate of 2.0m/s2. Take g = 10m/s2.
Two wires are kept tight between the same pair of supports. The tensions in the wires are in the ratio 2 : 1, the radii are in the ratio 3 : 1 and the densities are in the ratio 1 :2. Find the ratio of their fundamental frequencies.
Figure shows a plot of the transverse displacements of the particles of a string at t = 0 through which a travelling wave is passing in the positive x-direction. The wave speed is 20cm/s. Find-
- The amplitude
- The wavelength
- The wave number
- The frequency of the wave.
A wave is described by the equation
View full solution →$\text{y}=(1.0\text{mm})\sin\pi\Big(\frac{\text{x}}{2.0\text{cm}}-\frac{\text{t}}{0.01\text{s}}\Big).$
- Find the time period and the wavelength.
- Write the equation for the velocity of the particles. Find the speed of the particle at x = 1.0cm at time t = 0.01s.
- What are the speeds of the particles at x = 3.0cm, 5.0cm and 7.0cm at t 0.01s?
- What are the speeds of the particles at x 1.0cm at t = 0.011, 0.012, and 0.013s?
Two waves, each having a frequency of 100Hz and a wavelength of 2.0cm, are travelling in the same direction on a string. What is the phase difference between the waves,
- If the second wave was produced 0.015s later than the first one at the same place.
- If the two waves were produced at the same instant but the first one was produced a distance 4.0cm behind the second one?
- If each of the waves has an amplitude of 2.0mm, what would be the amplitudes of the resultant waves in part (a) and (b)?
The equation of a wave travelling on a string stretched along the X-axis is given by-
View full solution →$\text{y}=\text{A}\text{e}^{-\Big(\frac{\text{x}}{\text{a}}+\frac{\text{t}}{\text{T}}\Big)^2}.$
- Write the dimensions of A, a and T.
- Find the wave speed.
- In which direction is the wave. travelling?
- Where is the maximum of the pulse located at t = T? at t = 2T?
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