An FM radio station broadcasts at a frequency of 101.7 MHz. Calculate the wavelength of the broadcast signal in meters. (c = 2.9979 * 10⁸ m/s) A) 2.948 m B) 2.958 m C) 2.968 m D) 2.978 m E) None of the above

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Quizplus · Accepted Answer

The wavelength of an electromagnetic wave is given by the formula:λ = c / fwhere:λ is the wavelength in metersc is the speed of light in meters per secondf is the frequency in hertzIn this problem, we are given that the frequency of the broadcast signal is 101.7 MHz. We can convert this to hertz by multiplying by 10^6:f = 101.7 MHz = 101.7 * 10^6 HzWe are also given that the speed of light is 2.9979 * 10^8 m/s.Substituting these values into the formula, we get:λ = c / f = (2.9979 * 10^8 m/s) / (101.7 * 10^6 Hz) = 2.948 mTherefore, the wavelength of the broadcast signal is 2.948 meters.

An FM Radio Station Broadcasts at a Frequency of 101