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
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.
To calculate the wavelength of radio waves, we can use the formula:
wavelength = speed of light / frequency
The speed of light in a vacuum is approximately 3.00 x 10^8 meters per second (m/s).
Given that the frequency is 104 MHz, we need to convert it to the SI unit of Hertz (Hz).
1 MHz = 1,000,000 Hz
104 MHz = 104,000,000 Hz
Now we can plug these values into the formula:
wavelength = (3.00 x 10^8 m/s) / (104,000,000 Hz)
wavelength ≈ 2.885 x 10^(-3) meters
Since there are only three significant digits in the given frequency value of 104 MHz, we must round our answer to three significant digits:
wavelength ≈ 2.88 x 10^(-3) meters