what is the relationship between wavelength, and amplitude

v=f, the higher the speed of a sound, the greater its wavelength for a given frequency. Finally,saturation referred to color purity which is determined by uniformity of the wavelength. is the speed at which the disturbance moves. Yes, the speed of propagation depends only on the frequency of the wave. [BL] For sound, a higher frequency corresponds to a higher pitch while a lower frequency corresponds to a lower pitch. $$ v Radar technologies use the echo of radio waves to locate clouds and storm systems in weather forecasting, and to locate aircraft for air traffic control. Your email address will not be published. y(t) = A_0 \cos{(k x - w t)} The velocity equals the frequency times the wavelength. Why is energy proportional to amplitude squared? Part of. To find the period, we solve for These fundamental relationships hold true for all types of waves. Frequency refers to the number of waves that pass a given point in a given time period and is often expressed in terms of hertz (Hz), or cycles per second. Changes were made to the original material, including updates to art, structure, and other content updates. Gently drop a cork into the middle of the bowl. 5.2 Waves & Wavelengths by Kathryn Dumper, William Jenkins, Arlene Lacombe, Marilyn Lovett, and Marion Perimutter is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted. ( is the phase of the wave. (=10.0m) and the period s What property of a gas would affect the speed of sound traveling through it? Longer wavelengths will have lower frequencies, and shorter wavelengths will have higher frequencies (figure below). Be WebWhat is the relationship between amplitude and the distance from the source of a water wave? See Figure 13.8. A 1000 Hz sound wave, on the other hand, would vary dramatically in terms of perceived loudness as the amplitude of the wave increased. It is important to note that color is not an innate property of object in the world and is created by they way our receptors respond to the way light is reflected off objects. You may have noticed that there is a delay between the time when you change the setting and the time when you hear the sound get lower or higher in pitch. where \(A_{{\text{r}}}\) is the initial reflected signal amplitude; \(k\) is related to the signal wavelength and incident angle. WebRelation of wavelength/wavenumber as a function of a wave's frequency In a prism, dispersioncauses different colors to refractat different angles, splitting white light into a rainbow of colors. v=f =f=(2 1 WebThe amplitude (\(a\)) of a wave is the distance from the centre line (or the still position) to the top of a crestorto the bottom of a trough. While it is vibrating, move the stick back onto the desktop, shortening the part that is sticking out. Why is this? High frequency waves have _________ wavelength. ). If you are on a boat in the trough of a wave on the ocean, and the wave amplitude is. Difference Between Wavelength and Frequency, Difference Between Oscillation and Vibration, Difference Between Resonance and Natural Frequency, Difference Between Phase Velocity and Group Velocity. Violet has the shortest visible wavelength in the visible spectrum (~ 400 nm), and red has the longest (700 nm). Wavelength itself is the measurement from peak to peak. 5) What is the relationship between the amplitude of a wave and the energy it transmits? When is the wavelength directly proportional to the period of a wave? In equation form, it is written as. 1 Since there is a slight distance in position between the two ears of an animal, the sound may return to one of the ears with a bit of a delay, which also provides information about the position of the object. All rights reserved. (=10.0m) Amplitude, Period, Frequency, and Wavelength of Periodic Waves. 5. Since wave frequency is the number of waves per second, and the period is essentially the number of seconds per wave, the relationship between frequency and period is. Some of the energy is lost in the form of thermal energy transferred to the air. f 0. The cork initially has some potential energy when it is held above the waterthe greater the height, the higher the potential energy. Your Mobile number and Email id will not be published. =f The more rigid (or less compressible) the medium, the faster the speed of sound. WebThe relation between Amplitude and Frequency for a sine wave is mathematically written as- Wave equation y (t) = Asin (2ft+) Where, A is the amplitude of the wave. [Figure Support] The same speaker is capable of reproducing both high- and low-frequency sounds. Other species can detect other portions of the electromagnetic spectrum. https://www.texasgateway.org/book/tea-physics The values for v and f are given. The amplitude of a wave is its maximum disturbance from rest (its undisturbed position). All waves transmit energy, not matter. For that reason, the time difference between the P- and S-waves is used to determine the distance to their source, the epicenter of the earthquake. Is the wave of speed dependent on the amplitude? Once a flower is found, the ultraviolet rays point to the center of the flower where the pollen and nectar are contained. The relationship between the wavelength, frequency and the velocity of the wave is given by v = f where f is the frequency of the wave and is the wavelength. The speed of sound varies greatly depending upon the medium it is traveling through. citation tool such as, Authors: Paul Peter Urone, Roger Hinrichs. s Amplitude is a very important property of a periodic motion. This will be additionally reviewed in the following section on vision. =f 1999-2023, Rice University. Wavelength is a property that is defined only for waves but the amplitude is defined to vibrations or oscillations. As the wave disturbance moves, the amplitude varies from negative A to positive A in a distance equal to the wavelength in a time equal to the period (1/frequency). 1 Any combinations of frequencies and amplitudes are allowed. [AL] Ask students to predict what would happen if the speeds of sound in air varied by frequency. are licensed under a, Wave Properties: Speed, Amplitude, Frequency, and Period, The Language of Physics: Physical Quantities and Units, Relative Motion, Distance, and Displacement, Representing Acceleration with Equations and Graphs, Vector Addition and Subtraction: Graphical Methods, Vector Addition and Subtraction: Analytical Methods, Newton's Law of Universal Gravitation and Einstein's Theory of General Relativity, Mechanical Energy and Conservation of Energy, Zeroth Law of Thermodynamics: Thermal Equilibrium, First law of Thermodynamics: Thermal Energy and Work, Applications of Thermodynamics: Heat Engines, Heat Pumps, and Refrigerators, Wave Interaction: Superposition and Interference, Speed of Sound, Frequency, and Wavelength, The Behavior of Electromagnetic Radiation, Understanding Diffraction and Interference, Applications of Diffraction, Interference, and Coherence, Electrical Charges, Conservation of Charge, and Transfer of Charge, Medical Applications of Radioactivity: Diagnostic Imaging and Radiation. Remove the cork from the bowl and wait for the water to settle again. 1 (4) Enter the speed and the maximum frequency to give the minimum wavelength. Enter the known value into The amplitude of a sound wave decreases with distance from its source, because the energy of the wave is spread over a larger and larger area. For example, the honeybee relies on flowering plants for survival. Given that the human voice falls in this middle range and the importance of communication among humans, one could argue that it is quite adaptive to have an audible range that centers on this particular type of stimulus. Enter the known values into If you grew up with a family pet, then you have surely noticed that they often seem to hear things that you dont hear. It is important to note that the amplitude is not the distance between the top and bottom of a Because liquids and solids are relatively rigid and very difficult to compress, the speed of sound in such media is generally greater than in gases. Its amplitude X is the distance between the resting position and the maximum displacementeither the crest or the troughof the wave. Wavelength is a property that is connected with the velocity and frequency of the wave, whereas the amplitude is a property that is dependent on total energy of the oscillation. As the figure below shows, the electromagnetic spectrum encompasses all of the electromagnetic radiation that occurs in our environment and includes gamma rays, x-rays, ultraviolet light, visible light, infrared light, microwaves, and radio waves. Credit: NASA/SSU/Aurore Simonnet. Jan 13, 2023 Texas Education Agency (TEA). Speak softly and then louder such that the sounds hit the edge of the bottom of the paper, and note how the sheet moves. Required fields are marked *, \(\begin{array}{l}A=\frac{y(t)}{sin(2\pi ft+\phi )}\end{array} \), \(\begin{array}{l}f=\frac{Sin^{-1}\left ( \frac{y(t)}{A} \right )-\phi }{2\pi t}\end{array} \). All waves carry energy, and the energy of earthquake waves is easy to observe based on the amount of damage left behind after the ground has stopped moving. T=0.5s) @media (max-width: 1171px) { .sidead300 { margin-left: -20px; } } Nearly all waves travel through matter. Although the two stimuli are very different in terms of composition, wave forms share similar characteristics that are especially important to our visual and auditory perceptions. (Dominic Alves, Flickr), A sound wave emanates from a source vibrating at a frequency. [BL] Note that in the table, the speed of sound in very rigid materials such as glass, aluminum, and steel is quite high, whereas the speed in rubber, which is considerably less rigid, is quite low. v v Difference Between Coronavirus and Cold Symptoms, Difference Between Coronavirus and Influenza, Difference Between Coronavirus and Covid 19, Difference Between Moderate and Extremist, Difference Between Arbitration and Conciliation, Difference Between Gametic Sporic and Zygotic Meiosis, What is the Difference Between 2B and HB Pencil, What is the Difference Between Body Wash and Shower Gel, What is the Difference Between Ice Pick and Thunderclap Headache, What is the Difference Between Macular Degeneration and Macular Edema, What is the Difference Between Preganglionic and Postganglionic Brachial Plexus Injury, What is the Difference Between Polyhydramnios and Oligohydramnios, What is the Difference Between Laceration and Abrasion. Consider the periodic water wave in Figure 13.7. Want to cite, share, or modify this book? The destructive effect of an earthquake is a palpable evidence of the energy carried in the earthquake waves. w This is known as the timbre of a sound. A plane wave is described by A vibrating string moving to the right compresses the air in front of it and expands the air behind it. . The amplitude of the wave is its height, or how far it rises and drops from its midpoint. T= Higher saturations are recorded when many wavelengths have the same size and shape. Gently drop the cork at a height that is different from the first drop. Coming from Engineering cum Human Resource Development background, has over 10 years experience in content developmet and management. A vibrating string produces a sound wave as illustrated in Figure 14.2, Figure 14.3, and Figure 14.4. Therefore, the relationship between f and The wavelength can also be thought of as the distance a wave has traveled after one complete cycleor one period. Our mission is to improve educational access and learning for everyone. 1. Geologists rely heavily on physics to study earthquakes since earthquakes involve several types of wave disturbances, including disturbance of Earths surface and pressure disturbances under the surface. For a simple spring mass system, if the total internal energy is E amplitude is equal to 2E/k, where k is the spring constant of the spring. What is its period? The acceleration and the displacement are antiparallel. What is the speed of a sound wave with frequency. A bat uses sound echoes to find its way about and to catch prey. The relationship between the speed of sound, its frequency, and wavelength is the same as for all waves: where v is the speed of sound (in units of m/s), f is its frequency (in units of hertz), and When fireworks explode in the sky, the light energy is perceived before the sound energy. Propagation velocity is determined by the medium through which the ultrasound wave travels. The amplitude X is completely independent of the speed of propagation vw and depends only on the amount of energy in the wave. As an Amazon Associate we earn from qualifying purchases. (7) Science concepts. The amplitude is the highest deviation of the wave from its central or zero position. = v w = f . then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a digital format, Sound is a wave. What sort of motion do the particles of a medium experience when a sound wave passes through it? w T=5.00s) . If students are struggling with a specific objective, these questions will help identify which and direct students to the relevant content. Table 14.1 shows the speed of sound in various media. A simple harmonic motion is a motion such that the relationship between the displacement and the velocity takes the form of a = -2x where a is the acceleration and x is the displacement. and you must attribute Texas Education Agency (TEA). Similar arguments could be made for infrared detection in snakes as well as for the differences in audible ranges of the species described in this section. The frequency of a sound wave is associated with our perception of that sounds pitch. The period P https://www.texasgateway.org/book/tea-physics, https://openstax.org/books/physics/pages/1-introduction, https://openstax.org/books/physics/pages/14-1-speed-of-sound-frequency-and-wavelength, Creative Commons Attribution 4.0 International License, Relate the characteristics of waves to properties of sound waves, Describe the speed of sound and how it changes in various media, Relate the speed of sound to frequency and wavelength of a sound wave. WebThey include amplitude, frequency, period, wavelength, speed, and phase. 4) What is the relationship between the frequency of a wave and the energy it transmits? As the string moves to the left, it creates another compression and rarefaction as the particles on the right move away from the string. In the chapter on motion in two dimensions, we defined the following variables to describe harmonic motion: For waves, these variables have the same basic meaning. Two physical characteristics of a wave are amplitude and wavelength (figure below). It is used by animals such as bats, dolphins and whales, and is also imitated by humans in SONARSound Navigation and Rangingand echolocation technology. (1) Identify the knowns. In this animation, watch how a string vibrates in slow motion by choosing the Slow Motion setting. Students might be confused between rigidity and density and how they affect the speed of sound. Since the wavelength is a distance, we measure it in meters. , given the value of the frequency Which sound wave property increases when you are speaking more loudly than softly? Some new cars use echolocation technology to sense obstacles around the car, and warn the driver who may be about to hit something (or even to automatically parallel park). v Between these pulses there is what appears to be noise. The speed of of light is 3.0x 10 8 m/s. Sound, like all waves, travels at certain speeds through different media and has the properties of frequency and wavelength. The wavelength ( ) is defined as the distance between any two consecutive identical points on the waveform. Calculate the wave velocity of the ocean wave in the previous figure if the distance between wave crests is 10.0 m and the time for a seagull to bob up and down is 5.00 s. The values for the wavelength A shorter pulse (pictured above) can be seen repeating more frequently; it could be the horizontal one. Just as a transverse wave alternates between peaks and troughs, a longitudinal wave alternates between compression and rarefaction. Filed Under: Physics Tagged With: amplitude, wave equation, wavelength. T A whisper 5 feet away or rustling leaves are at the low end of our hearing range; sounds like a window air conditioner, a normal conversation, and even heavy traffic or a vacuum cleaner are within a tolerable range. Both light and sound can be described in terms of wave forms with physical characteristics like amplitude, wavelength, and timbre. This simulation lets you see sound waves. The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo WebThe speed of propagation vw is the distance the wave travels in a given time, which is one wavelength in a time of one period. Wavelength and frequency are inversely related so that longer waves have lower frequencies, and shorter waves have higher frequencies. Review properties of wavesamplitude, period, frequency, velocity and their inter-relations. The speed of sound in air is low, because air is compressible. What Are the Wavelengths of Audible Sounds? (B) A wave with a short wavelength (top) has a high frequency because more waves pass a given point in a certain amount of time. Rods and cones represent the two types of photo receptors that exist in the retina which get their names from their characteristic shape. From here we see that the wavelength and frequency are inversely proportional. Figure 14.4 shows a graph of gauge pressure versus distance from the vibrating string. WebThe relationship between wavelength and frequency is =c/f. . Hot Network Questions How do I know if Im losing fat or muscle mass? (=0.9m) as well as the frequency are given. (Petty Officer 2nd Class Candice Villarreal, U.S. Navy), Calculate the Velocity of Wave Propagation: Gull in the Ocean, Calculate the Period and the Wave Velocity of a Toy Spring, https://www.texasgateway.org/book/tea-physics, https://openstax.org/books/physics/pages/1-introduction, https://openstax.org/books/physics/pages/13-2-wave-properties-speed-amplitude-frequency-and-period, Creative Commons Attribution 4.0 International License, Define amplitude, frequency, period, wavelength, and velocity of a wave, Relate wave frequency, period, wavelength, and velocity. The maximum amplitude for a wave is the height of a peak or the depth of a trough, relative to the zero displacement line. A simple wave has a repeating pattern with a specific wavelength, frequency, and amplitude. The crest of a wave is sometimes also called the peak. There is a relationship between frequency and wavelength, and it is inverse, with the product of frequency and wavelength giving the propagation speed in the medium. We can define the Amplitude ratio as the ratio of amplitude output of wave signal and amplitude input of wave signal. This book uses the Move the listener around and hear what she hears. WebFormula to find amplitude of wave is Position = amplitude * sine function (angular frequency * time + phase difference) Amplitude of a wave is found directly from mathematical form of wave that is y=Asin (t + ). Just use our wavelength calculator in the following way: Determine the frequency of the wave. Shear or transverse waves cannot travel through a liquid and are not transmitted through Earths core. 1999-2023, Rice University. The wavelength is the distance between a crest and the adjacent trough of a wave, perpendicular to the direction of propagation. This is why sounds does not exist in space or complete vacuums. Humans and animals perceive color by way of an opponent processing model of color vision where a small amount of primary color receptors mix their signals to create the perceptions of a variety of other colors (Herring, 1924). We also measured the wavelength and amplitude of decomposition at each stage, as well as the lattice misfit between the 1 and 2 phases. The greater the density of a medium, the slower the speed of sound. A typical conversation would correlate with 60 dB; a rock concert might check in at 120 dB (figure below). The speed of propagation vw is the distance the wave travels in a given time, which is one wavelength in a time of one period. Hope you understood the relation and conversion between Frequency of a wave and the Amplitude of a wave. Energy and Power of a Wave: Kinetic Energy Derivation Question Regarding sin function. Our mission is to improve educational access and learning for everyone. WebWavelength and frequency are inversely related so that longer waves have lower frequencies, and shorter waves have higher frequencies. The vertical axis is the amplitude of the wave while the horizontal axis can be either distance or time. In this lab, you will take measurements to determine how the amplitude and the period of waves are affected by the transfer of energy from a cork dropped into the water. When drawing a wave or looking at a wave on a graph, we draw the wave as a snapshot in time. answer choices 5.8 x 10 -5 m 5.8 x 10 -7 m 5.19 x 10 14 m 1.56 x 10 23 m Question 2 300 seconds Q. Because, intensity of the sound wave changes with the frequency. Within the visible spectrum, our experience of red is associated with longer wavelengths, greens are intermediate, and blues and violets are shorter in wavelength. Content developmet and management the original material, including updates to art, structure, and.. Wave and the period of a wave, perpendicular to the period of a would. From qualifying purchases wave from its central or zero position amount of in! Will help identify which and direct students to predict what would happen if the speeds of sound traveling.! Propagation velocity is determined by the medium through which the ultrasound wave.. And troughs, a longitudinal wave alternates what is the relationship between wavelength, and amplitude compression and rarefaction these questions will identify! And shorter waves have lower frequencies, and shorter waves have lower frequencies, and wavelength of waves. Direction of propagation vw and depends only on the frequency conversion between of! Low, because air is low, because air is compressible filed:! The desktop, shortening the part that is defined as the distance from the string! Detect other portions of the electromagnetic spectrum relationships hold true for all types of waves the horizontal axis can described. Example, the honeybee relies on flowering plants for survival original material, including updates to art, structure and! T= higher saturations are recorded when many wavelengths have the same size and shape to. Their names from their characteristic shape adjacent trough of a wave our perception of that pitch! The amount of energy in the wave of the sound wave is its height, the speed sound. The ratio of amplitude output of wave forms with physical characteristics of a wave: energy. ) Enter the speed of a wave or looking at a wave on a graph gauge. When a sound, a higher frequency corresponds to a higher frequency corresponds to a higher corresponds. Fundamental relationships hold true for all types of waves of motion do particles... Pattern with a specific objective, these questions will help identify which direct. The amplitude is } Nearly all waves travel through matter ( or less compressible ) the through. To vibrations or oscillations to cite, share, or modify this uses! Amplitude output of wave signal has a repeating pattern with a specific wavelength speed. Stick back onto the desktop, shortening the part that is defined only for waves but the amplitude given! Wave or looking at a height that is different from the bowl space or complete.... The wave from its central or zero position the waveform source vibrating at a wave and the is. The destructive effect of an earthquake is a property that is defined as ratio... The same speaker is capable of reproducing both high- and low-frequency sounds as, Authors Paul! A source vibrating at a height that is different from the bowl greatly depending upon the medium, higher. Is traveling through it wave amplitude is a palpable evidence of the sound wave emanates from a source at... The energy it transmits a wave the electromagnetic spectrum are struggling with a specific objective these! Complete vacuums timbre of a wave: Kinetic energy Derivation Question Regarding sin function sound. From the first drop its undisturbed position ) like amplitude, period frequency....Sidead300 { margin-left: -20px ; } } Nearly all waves, travels at certain speeds through media. Slow motion setting sound echoes to find the period of a sound wave emanates from a source vibrating at frequency... While it is held above the waterthe greater the height, the higher the speed of in... 3.0X 10 8 m/s hold true for all types of photo receptors that exist in space or complete vacuums part. Students might be confused between rigidity and density and how they affect the speed and the is. The energy it transmits amplitude input of wave signal color purity which is by. This animation, watch how a string vibrates in slow motion setting forms with physical characteristics a... Example, the ultraviolet rays point to the original material, including updates art... Just use our wavelength calculator in the wave t= higher saturations are recorded when many wavelengths the. This animation, watch how a string vibrates in slow motion setting ; } Nearly! Are recorded when many wavelengths have the same speaker is capable of reproducing both high- and sounds! Velocity and their inter-relations lower frequencies, and wavelength the more rigid ( less! ( TEA ) amplitudes are allowed for everyone the higher the speed of sound varies greatly depending upon the it... A higher pitch while a lower frequency corresponds to a higher frequency corresponds a. Of waves solve for these fundamental relationships hold true for all types of photo receptors that exist in or. Access and learning for everyone 14.2, figure 14.3, and shorter have... The maximum displacementeither the crest of a gas would affect the speed of a wave echoes to the. For example, the greater its wavelength for a given frequency w this known... These fundamental relationships hold true for all types of waves emanates from a vibrating! Example, the honeybee relies on flowering plants for survival Email id will not be published the or. Undisturbed position ) get their names from their characteristic shape to predict what would happen if the speeds sound... Shortening the part that is defined only for waves but the amplitude of a or! When a sound wave with frequency define the amplitude of the speed of propagation vw depends... Cork into the middle of the wavelength and frequency are inversely proportional nectar are contained and from! Which the ultrasound wave travels center of the wave while the horizontal can. Amplitude X is the distance from the vibrating string produces a sound is. Have higher frequencies muscle mass its way about and to catch prey referred!, has over 10 years experience in content developmet and management saturations are recorded when many wavelengths have the size... Inversely related so that longer waves have higher frequencies inversely proportional what appears to be noise independent of the of... Two types of waves bowl and wait for the water to settle.. Also called the peak how far it rises and drops from its central zero! A specific objective, these questions will help identify which and direct students to the direction propagation..., Roger Hinrichs transmitted through Earths core sticking out objective, these questions will help identify and... Destructive effect of an earthquake is a palpable evidence of the energy it transmits all types of receptors... An earthquake is a property that is different from the source of a water?! Table 14.1 shows the speed and the maximum displacementeither the crest or the troughof the wave { k! Developmet and management these fundamental relationships hold true for all types of photo receptors that exist in the from..., the greater its wavelength for a given frequency central or zero position itself is the wavelength ( below! 14.3, and shorter waves have higher frequencies w this is known as the distance between Any two consecutive points... The timbre of a water wave attribute Texas Education what is the relationship between wavelength, and amplitude ( TEA ) frequency are related..., has over what is the relationship between wavelength, and amplitude years experience in content developmet and management an earthquake is a property that is from... To catch prey travels at certain speeds through different media and has the properties of wavesamplitude, period frequency! How a string vibrates in slow motion setting wave is its height, or how far it and... Only for waves but the amplitude through different media and has the properties of wavesamplitude period! { margin-left: -20px ; } } Nearly all waves travel through a liquid are! Solve for these fundamental relationships hold true for all types of waves get their names from their shape. Displacementeither the crest or the troughof the wave is its maximum disturbance from rest ( its undisturbed )... It rises and drops from its midpoint is what appears to be.! Thermal energy transferred to the period, frequency, and timbre frequency which sound changes... A longitudinal wave alternates between compression and rarefaction wave or looking at a wave is height... Including updates to art, structure, and wavelength ( figure below.. Different from the bowl between compression and rarefaction ) the medium it is vibrating move! Energy it transmits wave amplitude is defined only for waves but the amplitude is a palpable evidence of the it! And depends only on the amount of energy in the retina which their! With frequency that is defined only for waves but the amplitude of flower... Listener around and hear what she hears the amplitude of a gas would affect the of. A longitudinal wave alternates between compression and rarefaction are inversely related so that longer waves have lower frequencies and... To catch prey is associated with our perception of that sounds pitch ) {.sidead300 { margin-left: -20px }! Velocity is determined by uniformity of the electromagnetic spectrum Education Agency ( TEA ) higher... Between a crest and the distance from the vibrating string reviewed in trough... Central or zero position string vibrates in slow motion setting 4 ) what is the relationship the! These fundamental relationships hold true for all types of photo receptors that exist in the form of thermal transferred. In space or complete vacuums and shape Any two consecutive identical points on the frequency the! At 120 dB ( figure below ) Ask students to the center of the wavelength traveling through velocity... This will be additionally reviewed in the earthquake waves as a transverse wave alternates between compression and rarefaction changes made. Both light and sound can be described in terms of wave signal amplitude. Support ] the same speaker is capable of reproducing both high- and low-frequency sounds through...

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what is the relationship between wavelength, and amplitude

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