Hello!
If the frequency of a radio station is 88.1 MHz, the wavelength of the wave used by this radio station for its broadcast is 3.403 m
We are going to use the following equation that shows the relation of the frequency of a wave with its wavelength, knowing that radio waves are electromagnetic waves and they travel at the speed of light (299 792 458 m/s):
[tex]Wavelength=\frac{Speed_{Light}}{Frequency}= \frac{299 792 458 m/s}{8.81*10^{7} Hz}=3.402865\approx3.403 m[/tex]
Have a nice day!
The wavelength of the wave used by the radio station can be 3.405 m.
The wavelength can be defined as the distance traveled by a wave in the space, while frequency has been the number of cycles per second.
The broadcast has been performed in the air, therefore the speed of waves has been equivalent to the speed of light.
The relationship between the wavelength and frequency can be given as:
[tex]\rm \lambda\;=\;\dfrac{c}{\nu}[/tex]
Where, [tex]\lambda[/tex] is the wavelength of the radiation, c is the speed of radiation and [tex]\nu[/tex] is the frequency of radiation.
The wavelength of the wave used by the radio station can be calculated as:
[tex]\lambda[/tex] = [tex]\rm \dfrac{3\;\times\;10^8\;m/s}{8.81\;\times\;10^7\;Hz}[/tex]
[tex]\lambda[/tex] = 3.405 m
The wavelength of the wave used by the radio station can be 3.405 m.
For more information about the wavelength, refer to the link:
https://brainly.com/question/12924624
