Wavelength: Difference between revisions

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imported>Milton Beychok
m (Copy edits and spelling typo. Also deleted colons which showed up at front of math expressions. Also "frequency in megahertz (Mhz) divided by 300" ==> "300 divided by the frequency in megahertz (Mhz)")
imported>Mark Widmer
(Added typical wavelength values for: FM & AM radio, visible light.)
 
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'''Wavelength''' is a property of an [[oscillation]], [[vibration]], or other regularly-repeating (cyclic) phenomenon. The wavelength of such a phenomenon is the reciprocal of an individual repetition of the repeating event. In the [[SI]] system of units, [[frequency]] is measured in [[Hertz]] ('''Hz'''), the number of repetitions (cycles) in one [[second]].
'''Wavelength''' is a property of a phenomenon that regularly repeats in space (as opposed to time). The wavelength of such a phenomenon is the distance over which the phenomenon repeats. In the [[SI]] system of units, [[wavelength]] is measured in metres ('''m''').


Frequency ( '''''f''''' ) is inversely proportional to wavelength ( '''''λ''''' ), which is a length measurement:
Wavelength ( '''''λ''''' ) can be determined from the wave speed ( '''''c''''' ) and [[frequency]] ( '''''f''''' ):
<center><math>\lambda = \frac{c}{f}  \,\!</math></center>
<center><math>\lambda = \frac{c}{f}  \,\!</math></center>


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<center><math>\lambda = \frac{300}{f}  \,\!</math></center>
<center><math>\lambda = \frac{300}{f}  \,\!</math></center>


Three systems of designating ranges of frequencies and wavelengths are in common use:
Thus FM radio waves, with a frequency of roughly 100 MHz, have a wavelength of around 3 m, while the wavelength of AM radio waves (roughly 1000 kHz or 1 MHz frequency) have much longer wavelengths, around 300 m.
 
Three systems of designating ranges of electromagnetic wave frequencies and wavelengths are in common use:
*[[ITU frequency bands]], most commonly for terrestrial communications
*[[ITU frequency bands]], most commonly for terrestrial communications
*[[IEEE frequency bands]], most commonly for satellite communications and civilian [[radar]]
*[[IEEE frequency bands]], most commonly for satellite communications and civilian [[radar]]
*[[EU-NATO-US frequency bands]], most commonly for military electronics
*[[EU-NATO-US frequency bands]], most commonly for military electronics
For visible light, wavelengths are several hundred nanometres, or several tenths of a micrometre.

Latest revision as of 19:41, 21 July 2020

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Wavelength is a property of a phenomenon that regularly repeats in space (as opposed to time). The wavelength of such a phenomenon is the distance over which the phenomenon repeats. In the SI system of units, wavelength is measured in metres (m).

Wavelength ( λ ) can be determined from the wave speed ( c ) and frequency ( f ):

For electromagnetic waves propagating in a vacuum, c = 299,792,458 m/s = 300 Mm/s (the speed of light). Rounding to convenient values for radio waves, 300 divided by the frequency in megahertz (Mhz) gives the wavelength in meters:

Thus FM radio waves, with a frequency of roughly 100 MHz, have a wavelength of around 3 m, while the wavelength of AM radio waves (roughly 1000 kHz or 1 MHz frequency) have much longer wavelengths, around 300 m.

Three systems of designating ranges of electromagnetic wave frequencies and wavelengths are in common use:

For visible light, wavelengths are several hundred nanometres, or several tenths of a micrometre.