Wavelength
From Encyclopedia Jr, free information reference for Kids
-
For other uses, see
The wavelength is the distance between repeating units of a
In a sine wave, the wavelength is the distance between the midpoints of the wave:
The x axis represents distance, and I would be some varying quantity at a given point in time as a function of x, for instance
Contents |
[edit] Relationship with frequency
Wavelength λ has an inverse relationship to frequency f, the number of peaks to pass a point in a given time. The wavelength is equal to the speed of the wave type divided by the frequency of the wave. When dealing with electromagnetic radiation in a vacuum, this speed is the
where
- λ = wavelength of a
- vw is the speed of propagation of the wave, and
- f = frequency of the wave in 1/s = Hz.
For radio waves this relationship is approximated with the formula: wavelength λ (in metres) equals 3×108 m/s divided by frequency ν (in hertz).
For sound waves this relationship is approximated with the formula: wavelength λ (in metres) = 343 m/s divided by frequency (in hertz).
Note that the speed of light 
in a vacuum, and thus in a vacuum 
or 
[edit] In non-vacuum mediums
When light waves (and other electromagnetic waves) enter a medium, their wavelength is reduced by a factor equal to the
where:
- λ0 is the vacuum wavelength of the wave
Wavelengths of electromagnetic radiation, no matter what medium they are travelling through, are usually quoted in terms of the vacuum wavelength, although this is not always explicitly stated.
[edit] Quantum wavelength of particles
where
- h is Planck's constant, and
- p is the momentum of the object.
In general, large particles have much smaller wavelengths than photons. For particles and objects, their wavelength depends on their speed, as well as their mass.