Question

Suppose a popular FM radio station broadcast radio waves with a frequency of 104 MHZ calculate the wavelength of these radio waves be sure your answer has the correct number of significant digits in m

Answer 1

The speed of light in a vacuum is approximately 3.00 x 10^8 meters per second.

To calculate the wavelength, we can use the formula:

wavelength = speed of light / frequency

First, we need to convert the frequency from megahertz to hertz:

104 MHz = 104 x 10^6 Hz

Now we can calculate the wavelength:

wavelength = (3.00 x 10^8 m/s) / (104 x 10^6 Hz)

wavelength ≈ 2.88 meters

Keeping in mind that the original frequency was given to only two significant digits, we should express the wavelength with two significant digits as well. Therefore, the wavelength of these radio waves is approximately 2.9 meters.