When you tune a radio to, say, 770 AM, you are receiving an electromagnetic signal that travels at the speed of light ( = 3 108 m/s) and is broadcast at a frequency of 770 kilohertz (kHz), or 7.7 105 Hz. Recall that the number of wave crests passing a point in space each second is the wave's frequency, . The unit of frequency is cycles per second, which is called hertz (Hz). What is the wavelength of this AM signal



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Answer:

The wavelength of an electromagnetic signal can be calculated using the formula:wavelength = speed of light / frequencywhere the speed of light is 3 108 m/s and the frequency is 7.7 105 Hz.So, the wavelength of this AM signal is:wavelength = (3 108 m/s) / (7.7 105 Hz) ≈ 4.0 10^-4 mThis means that the wave has a length of approximately 0.04 meter or 4 centimeters.

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