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The length of the most effective transmitting antenna is equal to one-fourth the wavelength of the broadcast wave. If a radio station has an antenna 4 meters long then what is the broadcast frequency of the radio station? (the velocity of light in a vacuum is approx. 3.0 x 108 m/s)

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Correct Answer: A. 17 MHz
If the antenna is 1/4 the wavelength of the broadcasting wave, then the broadcasting wave must be 4 x 4 meters = 16 meters.
The velocity of electromagnetic radiation = 3.0 x 108 m/s
Velocity = (wavelength)(frequency)
Frequency = (3.0 x 108)/(16) = (30 x 107)/(15) approximately
= 2 x 107 Hz = 20 x 106 Hz = 20 MHz approximately (Mega is the SI prefix for 106).
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