AM radio signals are broadcast at frequencies between 550 kilohertz (kHz) and 1600 kilohertz. FM radio signals are broadcast at frequencies between 88.0 megahertz (MHz) and 108.0 megahertz. a. What is the wavelength of an AM station with a frequency of 790 kilohertz? Include units in your answer.b. What is the wavelength of an FM station with a frequency of 98.7 megahertz? Include units in your answer.

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KailanaR677869 KailanaR677869 · Answer 1 · 2022-11-03T17:43:06+01:00

a)

From the information given,

Lowest frequency = 550 khz = 550 x 10^3 hz

Highest frequency = 1600 khz = 1600 x 10^3 hz

The formula for calculating wavelength is expressed as

wavelength = velocity/frequency

Recall, radio signals travel at the speed of light and speed of light = 3 x 10^8 m/s

Thus, for a frequency of 790 khz which is equal to 790 x 10^3 hz,

the wavelength of the AM station would be

3 x 10^8/790 x 10^3

wavelength of the AM station = 379.75 m

b) From the information given,

Lowest frequency = 88 mhz = 88 x 10^6 hz

Thus, for a frequency of 98.7 mhz = 98.7 x 10^6 hz,

wavelngth of FM station would be

3 x 10^8/98.7 x 10^6

wavelength of the FM station = 3.04 m