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Sagot :
The wavenumber and (b) the wavelength of the radiation used by an fm radio transmitter broadcasting at 92. 0 mhz will be 31.25 * [tex]10^{2}[/tex] [tex]m^{-1}[/tex] and 0.032 * [tex]10^{2}[/tex] m respectively
Forms of electromagnetic radiation like radio waves, light waves or infrared (heat) waves make characteristic patterns as they travel through space. Each wave has a certain shape and length. The distance between peaks (high points) is called wavelength.
Wavenumber, also called wave number, a unit of frequency, often used in atomic, molecular, and nuclear spectroscopy, equal to the true frequency divided by the speed of the wave and thus equal to the number of waves in a unit distance.
wavelength = ?
frequency = 92 m Hz = 92 * [tex]10^{6}[/tex] Hz
speed of light = 3 * [tex]10^{8}[/tex] m/s
speed of light = frequency * wavelength
wavelength = speed of light / frequency
= 3 * [tex]10^{8}[/tex] / 92 * [tex]10^{6}[/tex]
= 0.032 * [tex]10^{2}[/tex] m
wavenumber = 1 / wavelength
= 1 / 0.032 * [tex]10^{2}[/tex] m
= 31.25 * [tex]10^{2}[/tex] [tex]m^{-1}[/tex]
To learn more about electromagnetic radiation here
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