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Answer :
You can Wavelength Calculation how many wavelengths you are away from a radio transmitter by first determining the wavelength of the station's frequency using the formula speed of light = frequency x wavelength, then dividing your distance from the transmitter by the wavelength.
To determine how many wavelengths away you are from a transmitter, you first need to define the wavelength based on the radio station's frequency. The frequency given by radio stations is normally in kilohertz (KHz) for AM and megahertz (MHz) for FM. To find the wavelength, we use the formula speed of light = frequency x wavelength. The speed of light is approximately 3 x 10^8 m/s.
For AM 1150, the station's frequency of 1150 KHz equates to 1.15 x 10^6 Hz (because 1 KHz = 10^3 Hz). We set up the equation as follows:
3 x 10^8 m/s = 1.15 x 10^6 Hz * wavelength
All that's left is to solve for the wavelength, which gives you about 261 meters. To find out how many wavelengths away you are from the transmitter, divide the distance from the transmitter (180 meters) by the wavelength (261 meters). This gives you approximately 0.69 wavelengths for AM 1150.
The process is the same for FM 98.1, but remember that FM frequencies are given in MHz, not KHz. So the station's frequency of 98.1 MHz becomes 98.1 x 10^6 Hz (since 1 MHz = 10^6 Hz). Repeat the same process to find that you are approximately 58.9 wavelengths away from the 98.1FM transmitter.
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