By combining oppositely directed traveling waves of equal amplitudes, we obtain a standing wave....
Question:
By combining oppositely directed traveling waves of equal amplitudes, we obtain a standing wave. What kind of a wave do we get if the amplitudes are not equal?
Ray and Wave optics:
Context: Light waves carry energy depending on their frequency. Propagation direction is always a straight line, but the wavefront has different geometries. Light undergoes dispersion, diffraction, and interference. Interference may be either constructive or destructive.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answer
If two sine waves with similar amplitude are traveling in reverse directions, both the waves superimpose and form a pattern like standing waves. The...
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:
Get access to this video and our entire Q&A library
Standing Wave: Definition, Equation & Theory
from
Chapter 5 / Lesson 19
14K
Standing waves are a result of wave interference. Explore the lesson to learn about the properties of standing waves, find their formulas, and see some examples.
Related to this Question
- What phase difference between two otherwise identical traveling waves, moving in the same direction along a stretched string, will result in the combined wave having an amplitude 1.55 times that of the common amplitude of the two combining waves? Express
- Two identical traveling waves, moving in the same direction, are out of phase by 5.0 rad. What is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves? (
- Which one of the following will form a standing wave: (1) two waves of the same amplitude and speed moving in the same direction (2) two waves of the same amplitude and speed moving in the opposite
- Two identical traveling waves, moving in the same direction, are out of phase by pi/6.0 rad. What is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves?
- Two waves are combined to form this standing wave equation of y(x,t) = (3 mm)sin(x/(2 m)cos((100 rad/s)t). a. What's the amplitude of the right moving wave and left moving wave? b. What's the wavelength of the right moving wave and left moving wave? c. Wh
- What phase difference, between two otherwise identical traveling waves, moving in the same direction along a stretched string, will result in the combined wave, having an amplitude 1.7 times that of the common amplitude of the two combining waves? Express
- What phase difference between two otherwise identical traveling waves, moving in the same direction along a stretched string, will result in the combined wave having an amplitude 0.52 times that of the common amplitude of the two combining waves? Express
- Two coherent EM waves have amplitudes of E0 and 0.370 E0. What is the resulting amplitude when they interfere destructively?
- What phase difference between two otherwise identical traveling waves, moving in the same direction along a stretched string, will result in the combined wave having an amplitude 1.55 times that of the common amplitude of the two combining waves (in degre
- What phase difference between two otherwise identical traveling waves, moving in the same direction along a stretched string, will result in the combined wave having an amplitude of 1.4 times that of the common amplitude of the two combining waves? Expres
- Two identical traveling waves, moving in the same direction, are out of phase by \pi/3.0 rad. What is the amplitude of the resultant wave in terms of the common amplitude ym of the two combining waves
- Two waves, travelling in the same direction through the same region, have equal frequencies, wavelengths and amplitudes. If the amplitude of each wave is 4 mm and the phase difference between the waves is 90^{\circ}, what is the resultant amplitude?
- Two identical waves traveling in the same direction are superimposed. What should be the phase difference between the waves for maximum destructive interference to occur?
- Two waves, both of amplitude A, are traveling in opposite directions along a rope. What is the range of displacement y that the two waves may cause when they overlap?
- Two identical traveling waves, moving in the same direction, are out of phase by \frac{\pi}{3} rad. What is the amplitude of the resultant wave in terms of the common amplitude y_m of the two combinin
- If two waves with equal amplitudes and wavelengths travel through a medium in such a way that a particular particle of the medium is at the crest of one wave and at the trough of the other wave at the same time, what will happen to that particle? A. The p
- Two waves, traveling in the same direction through the same region, have equal frequencies, wavelengths, and amplitudes. If the amplitude of each wave is 4 mm and the phase difference between the wave
- A wave of amplitude 0.37 \ m interferes with a second wave of amplitude 0.18 \ m is traveling in the same direction. What is the largest resultant amplitude that can occur?
- Two waves of the same frequency have amplitudes 1.00 and 2.00. They interfere at a point where their phase difference is 60.0 degrees. What is the resultant amplitude?
- Two waves of the same frequency and wavelength, moving in the same direction and each with amplitude A interfere with each other. The resulting wave also has an amplitude A, what is the phase difference of the component waves?
- What phase difference between two identical waves, moving in the same direction along a stretched string, results in a combined wave having an amplitude 1.5 times?
- Two sinusoidal waves travel in the same direction and have the same frequency. Their amplitudes are Y_1 and Y_2. The smallest possible amplitude of the resultant wave is: a) Y_1 + Y_2 and occurs if they are 180^o out of phase b) [Y_1 - Y_2] and occurs i
- The resultant wave from the interference of two identical waves traveling in opposite directions is described by the wave function y(x, t) = (2.49 m) sin(0.0458x) cos(5.40t), where x and y are in mete
- Two earthquake waves of the same frequency travel through the same medium; one wave has 3 times the energy of the other. a) What is the ratio of the amplitudes of the two waves? b) If the first wave strikes a boundary between two mediums traveling at 10
- Two traveling waves of equal frequency, one of amplitude 4 cm and the other of amplitude 6 cm, superimpose in a single medium. Which of the following best describes the displacement, D, of the resultant wave?
- What phase difference between two otherwise identical harmonic waves, moving in the same direction along a stretched string, will result in the combined wave having an amplitude 1.0 times that of the
- A standing wave occurs when ......................... . a) two waves overlap b) a wave reflects upon itself c) the speed of the wave is zero or near zero d) the amplitude of a wave exceeds its wavelength
- Two waves are travelling on a string, in the same direction. Both have a frequency of 101Hz, a wavelength of 0.400m, and an amplitude of 0.410m. What is the amplitude of the resultant wave, if the ori
- A harmonic traveling wave is described by the following equation: a) What is the wavelength of the wave? b) What is the frequency in Hz? c) What is the wave speed? d) Which way is the wave travelling?
- Two waves of equal amplitude A, and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave at any instant is: a) 0 b) A c) 2A d) between 0 and 2A
- 1) A simple harmonic wave is given by y(x,t)=y_m sin(kx-a_t+d_1). Consider the wave given by y(x,t)=2sin(\pix-\pit). Which of the following corresponds to this wave at t=1, 5s? 2) Which of the waves
- Two sinusoidal waves having the same frequency and travelling in the same direction are combined. If their amplitudes are 6.0 and 8.0 cm and have a phase difference of \pi/2 rad, determine the amplitude of the resultant motion.
- A wave moves a rope with a certain wave length a second is made to move in the same rope with twice the wave length of the first wave. What is the relationship between the frequency of the two waves?
- Two identical sinusoidal transverse waves travel along a stretched string. Each wave has an amplitude y_m and wavelength \lambda. If the phase difference between the two waves is 0.20 \ \lambda, what is the amplitude of the resultant? a) 1.6 \ y_m b) 0.8
- Two waves having the same frequency, wavelength, and amplitude are traveling in the same direction. If they differ in phase by \pi /3 and each has an amplitude of 0.040 m, what is the amplitude of the
- Two waves are traveling in the same direction along a stretched string. The waves are 90.0 degrees out of phase. Each wave has an amplitude of 7.00 cm. Find the amplitude of the resultant wave.
- Two sinusoidal waves of the same wavelength travel in the same direction along a stretched string. For wave 1, ym = 4.0 mm and phi = 0; for wave 2, ym = 4.5 mm and phi = 90 degrees. (a) What is the amplitude of the resultant wave? (b) What is its phase co
- A wave of amplitude 0.30 m interferes with the second wave of amplitude 0.20 m. What is the largest resultant displacement that may occur?
- A wave of amplitude 0.30 m interferes with a second wave of amplitude 0.20 m traveling in the same direction. What are (a) the largest and (b) the smallest resultant amplitudes that can occur, and und
- In which direction is the wave traveling compared to the oscillation, perpendicular or parallel?
- When interference happens with two monochromatic light waves, which of the following is a characteristic of the amplitude of the resultant wave? \\ a. it is zero. \\ b. it is equal to the sum of the a
- Which one of the following will result in standing waves? A. the superposition of waves that travel with different speeds B. the superposition of identical waves that travel in the same direction C. the superposition of identical waves that travel in oppo
- Two waves traveling along a stretched string have the same frequency, but one transports seven times the power of the other. What is the ratio of the amplitudes of the two waves?
- Two waves traveling on a string in the same direction both have a frequency of 92 Hz, a wavelength of 0.19 m, and an amplitude of 0.32 m. What is the amplitude of the resultant wave if the original wa
- Two earthquakes waves of the same frequency travel through the same medium, one wave has 3 times the energy of the other. (a) What is the ratio of the amplitudes of the two waves? (b) If the first wave strikes a boundary between two mediums travelling at
- Two sinusoidal waves have the same angular frequency, the same amplitude y, and travel in the same direction in the same medium. If they differ in a phase by 60^o, the amplitude of the resultant wave is given by A. 0.5y B. 0.87y C. y D. 1.7y E.
- Two waves, identical except for phase, are traveling in the same direction through the same medium. Each of the waves has amplitude A. The amplitude of the combined (net) wave is 1.14 A. What is the a
- Two sinusoidal traveling waves are co-propagating along a string. They have the same frequency f, but different amplitudes {y1, y2} and phase angles {f1, f2}. (a) What is the largest possible amplitude of the resultant wave? For what phase difference (f2
- Two sinusoidal waves of the same frequency travel in the same direction along a string. If ym1=3.1cm, ym2=4.4cm, varphi 1=0, and varphi 2=pi/4 rad, what is the amplitude of the resultant wave?
- Two waves traveling on a string in the same direction both have a frequency of 100 Hz, a wavelength of 2 cm and an amplitude of .02 m. What is the amplitude of the resultant wave if the original waves
- These two waves travel along the same string: y_1 = (4.17 mm) sin(2.24 \pi x - 300 \pi t), y_2 = (5.96 mm) sin(2.24 \pi x - 300 \pi t + 0.727 \pi rad). What are (a) the amplitude and (b) the phase angle (relative to wave 1) of the resultant wave? (c
- Two sinusoidal waves of the same period, with amplitudes of 8.0 mm and 11.5 mm, travel in the same direction along a stretched string. They produce a resultant wave with an amplitude of 18.190 mm. The
- Two sinusoidal waves of the same wavelength travel in the same direction along a stretched string. For wave 1, ym = 3.5 mm and ? = 0; for wave 2, ym = 5.1 mm and ? = 73�. What are the (a) amplitude an
- Two sinusoidal waves are identical except for their phase. When these two waves travel along the same string, for which phase difference will the amplitude of the resultant wave be a minimum?
- What is the resultant of two rectangular simple harmonic motions of the same frequency and unequal amplitude, but differing in phase by \frac{\pi}{2}?
- A wave of amplitude 0.45 m interferes with a second wave of amplitude 0.12 m traveling in the same direction. (a) What is the largest resultant amplitude that can occur, and under what conditions will
- Two waves, each having a frequency of 100 Hz and a wavelength of 2.0 cm, are traveling in the same direction on a string. What is the phase difference between the waves (a) if the second wave was produced 0.015 s later than the first one at the same insta
- Two waves, each having a frequency of 100 Hz and a wavelength of 2.0 cm, are travelling in the same direction on a string. What is the phase difference between the waves (a) if the second wave was produced 0.015 s later than the first one at the same, pla
- Two earthquakes waves of the same frequency travel through the same medium, one wave has 3 times the energy of the other. What is the ratio of the amplitudes of the two waves? \\ If the first wave strikes a boundary between two mediums traveling at 10 Km
- What kind of motion do you impart to stretched coiled spring to provide a transverse wave? What kind of motion do you impart to stretched coiled spring to provide longitudinal waves?
- Which one of the following can result in standing waves? A) the superposition of waves that travel with different speeds B) the superposition of identical waves that travel in the same direction C) th
- Two waves traveling on a string in the same direction both have a frequency of 92 Hz, a wavelength of 0.19 m, and an amplitude of 0.32 m. a. What is the amplitude of the resultant wave if the original
- Under which of the following conditions, is the wave generated in a medium a transverse wave? a) When molecular displacements are perpendicular to the wave velocity. b) When molecular displacements ar
- Explain different types of waves with examples. When several waves combine at a point, the displacement of the particle at any time is given by? Explain.
- Two harmonic waves are described by y_1 = 7 sin(5x - 100t) m and y_2 = 7 sin(5x - 100t - 2) m. What is the phase resultant of the wave when x = t = 0?
- What happens when two sound waves of equal frequencies and amplitude traveling in the same direction are superposed?
- If you start with two sinusoidal waves of the same amplitude traveling in phase on a string and then somehow phaseshift one of them by 5.4 wavelengths, what type of interference will occur on the stri
- 1.) A complex traveling wave can be considered as being composed of (a) a number of sinusoidal traveling waves differing only in amplitudes and phases. (b) a number of sinusoidal traveling waves of different frequencies and velocities. (c) a number of
- Two waves traveling along the same string are described by the following wave equations: y_1(t) = 3.0 sin(4x - 1.4t), \; y_2 (t) = 3.0 sin(4x - 1.4t + \pi/2). What is the amplitude of the resultant wave? a. 4.2 m b. 1.3 m c. 6.8 m d. 2.5 m e. 3.2 m
- Solve the following two equations to derive the amplitudes of the reflected wave and transmitted wave in terms of the amplitude of the incident wave. A + B = F, F = A(1 + 2 i beta) - B(1 - 2 i beta )
- Wave amplitude is related to what? a. wave velocity b. frequency c. energy d. wavelength
- What is the wave called when you combine an audio wave with a radio wave?
- If two waves differ only in amplitude and are propagated in opposite directions through a medium, will they produce standing waves?
- Two waves traveling on a string in the same direction both have a frequency of 150 Hz, a wavelength of 2 cm, and an amplitude of 0.06 m. What is the amplitude of the resultant wave if the original wav
- Two identical waves (of equal amplitude and frequency) arrive in phase at a certain point A. The resultant wave at point A is A. a wave of the same frequency and amplitude as the two incoming waves.
- Two identical sound waves begin in phase, travel along different paths, and then travel in the same direction through a common point. If the path-length difference is equal to 1.0 wavelength, what typ
- Two identical sinusoidal waves with wavelengths of 2.00 m travel in the same direction at a speed of 2.00 m/s. The second wave originates from the same point as the first, but at a later time. The amplitude of the resultant wave is the same as that of eac
- Two sinusoidal waves of the same period, with amplitudes of 4.5 and 8.0 mm, travel in the same direction along a stretched string; they produce a resultant wave with an amplitude of 9.1 mm. The phase constant of the 4.5 mm wave is 0. What is the phase con
- For sinusoidal traveling waves to set up standing waves, it is necessary that the waves have which of the following same characteristic(s)? a. frequency b. speed c. amplitude d. all of the other choic
- What is the difference between transverse and longitudinal waves? a) In a transverse wave, the disturbance always occurs perpendicular to the direction in which the wave travels, whereas in a longitudinal wave the disturbance always occurs parallel to th
- A wave of amplitude 0.55 m interferes with the second wave of amplitude 0.47 m travelling in the same direction. (a) What is the largest resultant amplitude that can arise, and under what conditions will this maximum occur? (1) The two waves interfere con
- 1) Consider the superposition of two infinitely long wave trains with almost the same frequencies but with different amplitudes. Show that the phenomenon of beats occurs but that the waves never beat
- What will be the amplitude of the central fringe if the amplitudes of the two waves in a double slit experiment are a and 3a? a. 2a b. 4a c. 8a^2 d. 16a^2
- Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 2 sin (4x) cos (3t) where x is in m and t is in s. What is the speed (in m/s) of the interfering waves? a. 0.75 b. 0.25 c. 1.3 d. 12 e. 3.0
- A wave with an amplitude of 31 mm interferes with another wave that has the same wavelength, an amplitude of 13 mm. a) What is the maximum amplitude of the resultant wave if the two waves are in phas
- Write an expression for a transverse harmonic wave that has a wavelength of 2.8 m and propagates to the right with a speed of 14.2 m/s. The amplitude of the wave is 0.13 m, and its displacement at t =
- A wave that undergoes complete deconstructive interference must meet another wave with: a. a different amplitude. b. a 180-degree phase shift. c. similar frequency. d. differing direction.
- Identical points on two harmonic waves with the same wavelength (.65 meters) and frequency are separated by a distance of .15 meters. What is the phase difference between the waves?
- Identical points on two harmonic waves with the same wavelength (0.65 meters) and frequency are separated by a distance of 0.15 meters. What is the phase difference between the waves?
- Write an expression for a transverse harmonic wave that has a wavelength of 2.1m and propagates to the right with a speed of 13.8m/s. The amplitude of the wave is 0.15m, and its displacement at t=0 and x=0 is 0.15 m.
- Derive an expression for the superposition of two waves whose displacements are given by y1(x, t) = 1 sin(kx - omega * t) and y2(x, t) = 0.9 sin(kx - omega * t).
- How does the amplitude of the standing wave depend on the frequency of the wave?
- A sinusoidal wave is traveling along a rope. The oscillator that generates the wave completes 35.0 vibrations in 29.0 s. A given crest of the wave travels 440 cm along the rope in 12.0 s. What is the wavelength of the wave?
- A sinusoidal wave is traveling along a rope. The oscillator that generates the wave completes 37.0 vibrations in 29.0 s. A given crest of the wave travels 420 cm along the rope in 15.0 s. What is the wavelength of the wave?
- A sinusoidal wave is traveling along a rope. The oscillator that generates the wave completes 37.0 vibrations in 33.0 s. A given crest of the wave travels 420 cm along the rope in 15.0 s. What is the wavelength of the wave?
- How does the equation for displacement differ between a traveling wave and simple harmonic motion?
- Ratio of intensities of two waves are given by 4:1. Then the ratio of the amplitudes of the two waves is (a) 2:1. (b) 1:2. (c) 4:1. (d) 1:4.
- a) What is the amplitude of this wave? b) What is the frequency of this wave? c) What is the wavelength of this wave?
- What vibrates in the following types of wave motions? a) light waves. b) sound waves. c) x-rays.
Explore our homework questions and answers library
Browse
by subject