The FM band of radio waves are measured in megahertz (MHz), which are the numbers you see on the radio dial. Therefore, a radio station at 102.5 on the FM dial has a frequency of 102.5 MHz or 102,500,000 Hz. What is the wavelength of the radio station that has a frequency of 102.5 MHz on the FM dial? The units for the answer are meters.
c = frequency x wavelength
c is speed of light = 3E8 m/s
To calculate the wavelength of a radio station, we can use the equation:
Wavelength (λ) = Speed of light (c) / Frequency (f)
The speed of light is approximately 299,792,458 meters per second (m/s).
Given that the frequency of the radio station is 102.5 MHz, we need to convert it to hertz (Hz).
1 MHz = 1,000,000 Hz
So, the frequency in hertz is 102.5 MHz x 1,000,000 Hz/MHz = 102,500,000 Hz.
Now we can calculate the wavelength:
Wavelength = 299,792,458 m/s / 102,500,000 Hz
Wavelength ≈ 2.92 meters
Therefore, the wavelength of the radio station with a frequency of 102.5 MHz on the FM dial is approximately 2.92 meters.