A wave moving in a gas,
- Must be longitudinal
- May be longitudinal
- Must be transverse
- May be transverse
Question types
Wave Motion and Waves on a String question types
97 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.
97
Questions
6
Question groups
5
Question types
01
M.C.Q (1 Marks)
32 Q→021 Marks Question
9 Q→032 Marks Questions
17 Q→043 Marks Question
23 Q→054 Marks Question
2 Q→065 Marks Questions
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.
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A wave pulse, travelling on a two -piece string, gets partially reflected and partially transmitted at the junction. The reflected wave is inverted in shape as compared to the incident one. If the incident wave has wavelengt $\lambda$ and the transmitted wave $\lambda'.$
View full solution →-
$\lambda'>\lambda$
-
$\lambda'=\lambda$
-
$\lambda'<\lambda$
- Nothing can be said about the relation of $\lambda$ and $\lambda'.$
Velocity of sound in air is 332m/s. Its velocity in vacuum will be:
- > 332m/s
- = 332 m/s
- < 332m/s
- Meaningless.
Consider two waves passing through the same string. Principle of superposition for displacement says that the net displacement of a particle on the string is sum of the displacements produced by the two waves individually. Suppose we state similar principles for the net velocity of the particle and the net kinetic energy of the particle. Such a principle will be valid for:
- Both the velocity and the kinetic energy.
- The velocity but not for the kinetic energy.
- The kinetic energy but not for the velocity.
- Neither the velocity nor the kinetic energy.
A wave is represented by the equation-
View full solution →$\text{y}=(0.001\text{mm})\sin\Big[(50\text{s}^{-1})\text{t}+(2.0\text{m}^{-1})\text{x}\Big]$
- The wave velocity = 100m/s.
- The wavelength = 2.0m.
- The frequency $=\frac{25}{\pi}\text{Hz}$
- The amplitude = 0.001mm.
You are walking along a seashore and a mild wind is blowing. Is the motion of air a wave motion?
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?
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?
A wave pulse passing on a string with a speed of 40cm/s in the negative x-direction has its maximum at x = 0 at t = 0. Where will this maximum be located at t = 5s?
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 one metre long stretched string having a mass of 40g is attached to a tuning fork. The fork vibrates at 128Hz in a direction perpendicular to the string. What should be the tension in the string if it is to vibrate in four loops?
Figure shows a wave pulse at t = 0. The pulse moves to the right with a speed of 10cm/s. Sketch the shape of the string at t = 1s, 2s and 3s.
In the arrangement shown in figure, the string has a mass of 4.5g. How much time will it take for a transverse disturbance produced at the floor to reach the pulley? Take g = 10m/s2.
A sonometer wire having a length of 1.50m between the bridges vibrates in its second harmonic in resonance with a tuning fork of frequency 256Hz. What is the speed of the transverse wave on the wire?
The equation of a standing wave, produced on a string fixed at both ends, is
View full solution →$\text{y}=(0.4\text{cm})\sin\big[(0.314\text{cm}^{-1})\text{x}\big]\cos\big[(600\pi\text{s}^{-1})\text{t}\big]$
What could be the smallest length of the string?Two blocks each having a mass of 3.2kg are connected by a wire CD and the system is suspended from the ceiling by another wire AB figure, The linear mass delity of the wire AB is 10g/m and that of CD is 8g/m. Find the speed of a transverse wave pulse produced in AB and in CD.
Figure shows two wave pulses at t = 0 travelling on a string in opposite directions with the same
wave speed 50cm/s. Sketch the shape of the string at t = 4ms, 6ms, 8ms, and 12ms.
wave speed 50cm/s. Sketch the shape of the string at t = 4ms, 6ms, 8ms, and 12ms.
A steel wire of mass 4.0g and length 80cm is fixed at the two ends. The tension in the wire is 50N. Find the frequency and wavelength of the fourth harmonic of the fundamental.
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 string of length 20cm and linear mass density 0.40g/cm is fixed at both ends and is kept under a tension of 16N. A wave pulse is produced at t = 0 near an end as shown in figure, which travels towards the other end.
- When will the string have the shape shown in the figureagain
- Sketch the shape of the string at a time half of that found in part (a).
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.
A particle on a stretched string supporting a travelling wave, takes 5.0ms to move from its mean position to the extreme position. The distance between two consecutive particles, which are at their mean positions, is 2.0cm. Find the frequency, the wavelength and the wave speed.
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?
A wave propagates on a string in the positive x-direction at a velocity v. The shape of the string at t = to is given by $\text{g}(\text{x},\text{t}_0)=\text{A}\sin\big(\frac{\text{x}}{\text{a}}\big).$ Write the wave equation for a general time t.
View full solution →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?
A uniform horizontal rod of length 40cm and mass 1.2kg is supported by two identical wires as shown in figure, Where should a mass of 4.8kg be placed on the rod so that the same tuning fork may excite the wire on left into its fundamental vibrations and that on right into its first overtone? Take g = 10m/s2.
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