1) Suppose your favorite FM radio station broadcasts at a frequency of 107.3 MHz. What is the wavelength of this signal?
____m
and
2)Your favorite television station transmits using an electromagnetic wave with a wavelength of approximately 5.4 m. What is the frequency?
_____MHz
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Answers & Comments
Verified answer
To find wavelength given velocity first convert your MHz to hz. So 107.3x1x10^6=1.073x10^8
Now divide speed of light constant by the frequency
2.998x10^8/1.073x10^8=
2.79m is your wavelength
To find frequency you divide the speed of light constant by your wavelengh(in meters)
2.998x10^8/5.4=
5.55x10^7hz
Then divide 5.55x10^7 by 1x10^6 and you get
55.5mhz
I put the more complicated way to solve this because in all the wavelength/ frequency problems I've seen we're generally worked with your wavelength in meters and your frequency in hz. Unless on say a test your question specifically asked for your answer in say nm or mhz but I've rarely seen answer choices on my chemistry tests in that format.
Plus it helps to know other ways of figuring things out considering your test questions won't always be like your examples
Wavelength = 3 ^8 / frequency in Hz
Frequency = 3 ^8 / Wavelength in M
1) 300/107.3 = 2.796 metres.
2) Frequency = 300/5.4, = 55.55mHz.