A radio station's channel, such as 100.7 FM or 92.3 FM, is actually its frequency in megahertz (MHz), where 1 MHz=10^6 Hz . Calculate the broadcast wavelength of the radio station 107.1 FM.
Convert frequency from MHz to Hz.
wavelength = (3.00x10^8m/s) / (frequency in Hz)
2.979 X 10^9
To calculate the broadcast wavelength of a radio station, we can use the formula:
Wavelength (λ) = Speed of Light (c) / Frequency (f)
The speed of light is approximately 3 x 10^8 meters per second (m/s).
First, let's convert the frequency from megahertz (MHz) to hertz (Hz):
107.1 FM = 107.1 MHz = 107.1 x 10^6 Hz
Now, we can substitute the values into the formula:
λ = (3 x 10^8 m/s) / (107.1 x 10^6 Hz).
Calculating the wavelength:
λ = 2.7997 meters (rounded to four decimal places).
Therefore, the broadcast wavelength of the radio station 107.1 FM is approximately 2.7997 meters.
To calculate the broadcast wavelength of a radio station, we can use the formula:
Wavelength (λ) = Speed of light (c) / Frequency (f)
Where the speed of light is approximately 3 x 10^8 meters per second (m/s).
In this case, we need to convert the frequency from megahertz (MHz) to hertz (Hz) by multiplying by 10^6. So for 107.1 FM, the frequency would be 107.1 MHz x 10^6 Hz/MHz = 107.1 x 10^6 Hz.
Now we can calculate the wavelength:
Wavelength (λ) = 3 x 10^8 m/s / (107.1 x 10^6 Hz)
Dividing these values, we get:
Wavelength (λ) = 2.799 x 10^-3 meters, or approximately 2.799 millimeters.
Therefore, the broadcast wavelength of the radio station 107.1 FM is approximately 2.799 millimeters.