What is Wavelength: Definition and 1000 Discussions

In physics, the wavelength is the spatial period of a periodic wave—the distance over which the wave's shape repeats. It is the distance between consecutive corresponding points of the same phase on the wave, such as two adjacent crests, troughs, or zero crossings, and is a characteristic of both traveling waves and standing waves, as well as other spatial wave patterns. The inverse of the wavelength is called the spatial frequency. Wavelength is commonly designated by the Greek letter lambda (λ).
The term wavelength is also sometimes applied to modulated waves, and to the sinusoidal envelopes of modulated waves or waves formed by interference of several sinusoids.Assuming a sinusoidal wave moving at a fixed wave speed, wavelength is inversely proportional to frequency of the wave: waves with higher frequencies have shorter wavelengths, and lower frequencies have longer wavelengths.Wavelength depends on the medium (for example, vacuum, air, or water) that a wave travels through. Examples of waves are sound waves, light, water waves and periodic electrical signals in a conductor. A sound wave is a variation in air pressure, while in light and other electromagnetic radiation the strength of the electric and the magnetic field vary. Water waves are variations in the height of a body of water. In a crystal lattice vibration, atomic positions vary.
The range of wavelengths or frequencies for wave phenomena is called a spectrum. The name originated with the visible light spectrum but now can be applied to the entire electromagnetic spectrum as well as to a sound spectrum or vibration spectrum.

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  1. P

    Exploring Light: Refraction & Wavelength Questions

    Homework Statement 1. What property of light causes the sunlight to reach the Earth before the sun actually appears over the horizon? 2. What is the wavelength, in water, of blue light whose wavelength is 4.5 x 10^2 nm in air? 3.The speed of a certain liquid in a certain liquid is 3/4...
  2. M

    Calculating Wavelength of Radio 4 FM & Explaining Loss in Deep Valleys

    Homework Statement Radio 4 transmits on FM at a frequency of 92.5 MHz Calculate the wavelength and use it to explain why listeners in deep valleys cannot pick up radio 4 FM. Homework Equations The Attempt at a Solution
  3. F

    Wavelength / Frequency notation

    http://en.wikipedia.org/wiki/Electromagnetic_waves Please navigate to this link about electromagnetic waves. Scroll down a little you will see a drawing on left hand side under topic "Properties" which denotes electric and magnetic field components of light as an example of an electromagnetic...
  4. V

    So, in a way, they are inverse of each other.

    Homework Statement my question is simple and doesn't really fit the template. Is wavelength and period of a wave not the same thing?
  5. B

    Wien's Displacement Law frequency vs wavelength

    I hope this is the right place. Since the law is derived from statistical mechanics, I assumed this was the place to post. I understand how the Wien's Displacement law is derived. What I don't understand, other than mathematically, is why there is a difference between the peak intensity as...
  6. J

    Possible Difference in Light Paths for Coherent Sources at Point P?

    Homework Statement : The diagram represents two coherent light sources emitting light of equal intensity and wavelength. The intensity of the light at point P is zero. Which of the following could be the difference in path length taken by the light in traveling from each source to point P...
  7. C

    Exploring the Minimum Radius of a Star: De Broglie Wavelength

    Homework Statement I am trying to describe the limit for the minimum radius of a star to first year university level students in order to describe the reason for the size of the Sun. I'm a bit confused by the critical density of the material in the star's core and how we know that the main...
  8. C

    De Broglie wavelength of 30keV electron

    Homework Statement The question is from Advanced Physics by Adams and Allday, section 8 Practice Exam Questions, question 30. Estimate the de Broglie wavelength of an electron that has been emitted thermionically in a vacuum from a filament and then accelerated through a p.d. of 30.0 kV...
  9. K

    Change EM Wavelength: Is There a Substance?

    Alright first time poster here with a question that has been eating at me for a while. I am curious to know if there is a substance that when one part of the EM spectrum is passed through it, it would come out as another. I know that if you are to shine a lightbulb on some black cloth you would...
  10. K

    Why do we use short wavelength photons in Compton scattering?

    I am reading some material about compton effect. I am wondering in what reason we have to use short wavelength photon in compton scattering, why can't we use long wavelength instead?
  11. K

    Wavelength - distance between a node and adjacent antinode

    Homework Statement A tube of air is open at only one end and has a length of 1.7 m. This tube sustains a standing wave at its third harmonic. What is the distance between one node and the adjacent antinode? Homework Equations v = f (lambda) The Attempt at a Solution If it's in the...
  12. R

    Relating Work Function and Wavelength

    Homework Statement Barium has a work function of 2.48 eV. What is the longest wavelength of light that will cause electrons to be emitted from barium? Homework Equations W = hf○ hf = W + Ek E = hf = hc/λ The Attempt at a Solution 1 eV/1.6e-19 C = 2.48/X X = 3.97e-19 W=hf○...
  13. D

    How does the wavelength of light affect its intensity?

    hey everyone, Homework Statement I'm doing a sodium and mercury visible light spectroscopy lab at the moment. By using a PMT, I can detect the intensity of photons emitted as a function of wavelength (controlled parameter). I was wondering if anyone knows how the two relate theoretically...
  14. S

    What is the wavelength of light in water when it enters a swimming pool?

    Homework Statement "Light of wavelength 0.527 µm (in air) enters the water in a swimming pool. The speed of light in water is 0.700 times the speed in air. What is the wavelength of the light in water?" Homework Equations v = c /n, where n = 1.33 ,the index of refraction The...
  15. K

    Determine the wavelength of the wave

    Homework Statement A longitudinal wave with a frequency of 34 Hz takes 1.3 s to travel the length of a 2.5 m Slinky (see Figure 16.3). Determine the wavelength of the wave. λ = _______ m Homework Equations v = λ f v = d/tThe Attempt at a Solution v = d/t v = 2.5/1.3 v = 1.9 v = λ f λ = v/f...
  16. S

    Problem in the Defination of electon's wavelength

    Given: \lambda = h / (mv) , whehere lambda is the wavelenght of electron, h Planck's constant, m the rest mass of electron and v the speed of electron. Problem: Does electron has a mass? I know it has a rest mass and thus contain energy. This problem is perhaps a defination problem.
  17. J

    Refraction index vs. wavelength?

    How does the refraction index vary with wavelength? For example, if you take light that initially has just one wavelength and disperse it through a prism and calculate the different indices for each wavelength. I'm guessing they'll be different... Is it linear? exponential? etc.
  18. S

    De Broglie wavelength, velocity of electron

    Homework Statement Question 1) Calculate the de Broglie wavelength of a neutron (mn = 1.67493×10-27 kg) moving at one fiftieth of the speed of light (c/50). Question 2) Calculate the velocity of an electron (me = 9.10939×10-31 kg) having a de Broglie wavelength of 225.7 pm...
  19. H

    Transverse Wave on a String: Speed & Acc., Wavelength, Period, Prop. Speed

    Homework Statement A transverse wave on a string is described by the wave function y = (.120m) sin(pie/8 + 4pie(t)) (a) Determine the transverse speed and acceleration of an element of the string at t=0.200s for the point on the string located at 1.60m (b) What are the wavelength...
  20. K

    Double slit and colored wavelength

    Homework Statement White light spans the wavelength range be- tween about 400 nm and 700 nm. If white light passes through two slits 0.656 mm apart and falls on a screen 1.7 m from the slits, what is the distance between the first-order violet and the first-order red fringes? Answer...
  21. M

    Blue or Red, Which Wavelength is Absorbed First?

    Is the color of the first wavelength of light that is absorbed first blue or red? Mare
  22. J

    Wavelength, Frequency, & Speed of Light in Different Media

    Homework Statement A beam of light from a monochromatic laser shines into a piece of glass. The glass has thickness L and index of refraction n=1.5. The wavelength of the laser light in vacuum is L/10 and its frequency is f. In this problem, neither the constant c nor its numerical value...
  23. P

    Momentum and De Broglie Wavelength in Quantum Mechanics

    what does the momentum in de broglie wavelength signify? i mean how do u defien it...we can define the expectation in momentum but how do we define momentum for "quantum mechanincal" particles
  24. Y

    How we can find wavelength of a wavepacket?

    How we can find wavelength of a wavepacket? Which distance is wavelength?
  25. D

    What is the Wavelength of the Scattered Photon in a Collision?

    Hey all, A physics example I'm working on to do some studying. The example is as follows: What is the wavelength of the scattered photon when a free electron (initially stationary) acquires maximum energy in a collision with a photon of energy 4 x 10^3 eV? My problem is this: it seems...
  26. C

    De broglie wavelength and velocity

    The de broglie wavelength is h/p, where p is momentum, and hence mv, so wavelenght = h/ (mv). The mass is on the denominator, so a massive object, like a baseball, will have a small wavelength, beyond detection and we can ignore it. OK, so does the mass have to be moving to have a de broglie...
  27. Y

    Relationship between Wave Packet Wavelength & Group Velocity

    What is the relationship wavelength and group velocity in wave packet ? If a wave packet has big wavelength its group velocity bigger or not ?
  28. T

    Calculating Frequency and Wavelength of Light on Metal Surface

    Homework Statement When light is frequency 2,00 x 10(in 16force) Hz prostrate a metal surface electrons are abstracted with kinetic energy 7,50 x 10(in -18force) J. Calculate: (a) The frequency v0 for the metal (v0: the minimum frequency of light, below which no electrons emitted). (b)...
  29. R

    What is the wavelength of the light in the interposed material?

    Homework Statement A Michelson interferometer is operated in a vacuum, using monochromatic light of wavelength 589 nm. The interferometer is set up so that the distances between the moving mirror and the beam splitter and the fixed mirror and the beam splitter are equal. A parallel-sided...
  30. V

    Natural Frequency and wavelength

    Homework Statement The portion of a piano string between the bridge and upper end of the finger board is 0.50 meters long. The string when plucked sounds a note of 440Hz- the first harmonic. a. where must the violinist put a finder to pay a C note- 528Hz b Without returning, is it possible...
  31. K

    Wavelength of Light: 0.544µm in Air & Water

    Homework Statement Light of wavelength 0.544 µm (in air) enters the water in a swimming pool. The speed of light in water is 0.700 times the speed in air. What is the wavelength of the light in water? Homework Equations mu = m / L v = sqrt (F/mu) speed of air 386 m/s The Attempt...
  32. M

    Finding index of refraction using wavelength and 2 angles?

    Finding index of refraction using wavelength and 2 angles?? I'm not sure how to do a problem that involves a light ray striking a block/air interface, how to find the index of refraction of a transparent material when given the wavelength, the angle the light ray makes with respect to the...
  33. A

    Wavelength, temperature in transition

    Hi! I really need some help I'm really really not good at physics...so Here it is 1) The electron energy of a hydrogen atom is given by -C/n^2 relative to zero energy at infinite separation between the electron and the proton (n is the principle quantum number, and C is a constant). For...
  34. P

    Graphing Wavelength vs Inverse freq. or Period

    According to our lab manual, the graph of Wavelength vs Period : the slope should be the speed of sound. Well, I have a negative slope of -32.2 which is ridiculous, but I can't find out what I'm doing wrong. We had 5 tuning forks , say for instance, 512Hz...the inverse 1/f = 1/512= 0.00195 , I...
  35. G

    Visible Light: Wavelength & Frequency

    What property of visible light defines its color, the wavelength or frequency (or something else)?
  36. R

    What is the wavelength of the incident photon?

    Homework Statement If the maximum energy imparted to an electron in Compton scattering is 45 keV. What is the wavelength of the incident photon? Homework Equations The Attempt at a Solution \lambda_2 - \lambda_1 = h/mc (1 - cos \theta ) My first initial thought was to apply...
  37. G

    De Broglie Wavelength problem

    Homework Statement A 220lb fullback runs the 40-yd dash at a speed of 19.6 ± 0.1 mi/h. What is he de Broglie wavelength (in meters)? Homework Equations de Broglie Wavelength: λ=h/(mu), where λ=wavelenght, h=6.626 x 10^(-34) kgm^2)/s, m=mass (kg), and u= speed The Attempt at a...
  38. H

    Wavelength with strange units?

    I'm sorry if this is the wrong forum but in a problem I was given wavelength with the unit as an A with a circle above it, can anyone tell me what this means and how I can get it into more familiar terms (meters, for example)?
  39. H

    Wavelength of scattered wave

    Homework Statement A photon whose energy is 8.00E-15 J is scattered off an electron at a 90 degree angle What is the wavelength of the scattered wave? Homework Equations i know that Lamda = hc/E =6.63E-34 * 3E8 / 8E-15 =2.48E-11m The Attempt at a Solution Does anyone know how...
  40. H

    Be Ion: Calculating Longest Wavelength Absorbed

    Homework Statement The element Be has 4 electrons and 4 protons in the atom. An ion of Be has all the electrons removed except 1, so it resembles a hydrogen atom with a nuclear charge of +4 e. Constants: E1(Hydrogen)= -13.6eV, r1(Hydrogen)= 5.29x10-11m. If a gas is made up of ions...
  41. Loren Booda

    Longest photon wavelength observed?

    What has been the longest photon wavelength actually observed?
  42. F

    How do you find threshold frequency? (given wavelength and KE of electrons)

    If you are told that a silver surface is irradiated with light having a wavelength of 230 nm that causes electrons to be ejected with 77.67 kJ/mol of kinetic energy, how would you find the threshold frequency? I know that threshold frequency = W / h. W is the work function and h is...
  43. B

    De Broglie wavelength and atom penetration

    Homework Statement Calculate the de broglie wavelength (DBW) of an electron with kinetic energy 60 GeV. What percentage of an atom's diameter can it penetrate? Homework Equations DBW = h/p p=mv The Attempt at a Solution Basically I have an electron traveling at the...
  44. R

    Loop Quantum Gravity: Is the Speed of Light a Function of Wavelength?

    Re the article by Bojowald in the October issue of Scientific American about Loop Quantum Gravity. He states that one of the consequences of the theory is that the speed of light is a function of wavelength. Any experimental evidence, or even hint of evidence, that anyone knows of?
  45. B

    Diffraction grating wavelength problem

    Homework Statement Light passes through a 200 line/mm grating and is observed on a 1.0 m wide screen located 1.0 m behind the grating. Three bright fringes are seen on both sides of the central maximum. What are the minimum and maximum possible values of wavelength? Homework Equations...
  46. M

    Reflection of light off film, wavelength and thickness?

    What is the thinnest film of MgF2 (n = 1.39) on glass that produces a strong reflection for light with a wavelength of 680 nm? This is the exact question I am faced with. I didn't really know where to begin so I tried using the ratio of n-air/wavelength to n-film/(new wavelength) to try and...
  47. S

    Optimizing UV Wavelengths for Germicidal Effects in Water

    If the primary germicidal UV wavelength is 270nm and the secondary is 254nm and I have a UV light source in air to provide germicidal effects in water, would the wavelength of the UV light source need to be 360nm and 338nm respectively assuming the index of refraction for water to be 1.33?
  48. N

    Why Refractive Index Varies with Wavelength of Light

    Homework Statement We learn from school that when we shine white light through a prism, dispersion occurs. This is because the light of varying wavelengths are refracted to a different extent due to how refractive index varies with the wavelength of light. So why does refractive index vary...
  49. S

    Wavelength and amplitude. Are they related?

    Hello everyone, I just want to ask a question. If higher the amplitude the particles move a larger distance right. So is the wavelength related to amplitude. The sound travels in circles right. So I'm bit confused here how they travel in circles and be a longtitudinal wave at the same time. Any...
  50. S

    Finding the amplitude with frequency and wavelength.

    A wave with a frequency of 190 Hz and a wavelength of 26.2 cm is traveling along a cord. The maximum speed of particles on the cord is the same as the wave speed. speed = wavelength X frequency
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