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.

Question

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.

Answer 1

c = frequency x wavelength

c is speed of light = 3E8 m/s

Answer 2

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.