How to Calculate the Wavelength of a 106.5 MHz FM Radio Signal?

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Homework Help Overview

The discussion revolves around calculating the wavelength of a 106.5 MHz FM radio signal, focusing on the relationship between frequency and wavelength in the context of electromagnetic waves.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the correct speed to use in the wavelength calculation, initially suggesting the speed of sound before clarifying that the speed of light is appropriate for radio signals.

Discussion Status

The discussion has progressed with participants correcting initial misconceptions about the speed to use, leading to a consensus on using the speed of light for the calculation. A specific wavelength value has been proposed, but the conversation remains open to further verification.

Contextual Notes

Some participants question the initial assumption of using the speed of sound, highlighting the distinction between sound waves and electromagnetic waves in radio transmission.

lilkrazyrae
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A FM radio station has a frequency of 106.5MHz. Find its signal wavelength.

I am guessing that you would use the speed of sound in this problem correct me if I am wrong.

So Wavelength=v/f
=343/1.065*10^8
=3.22*10^-6m

Is this right?
 
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No, you use the speed of a photon which is ~3.0 x 10^8. A radio station broadcasts a radio signal, not a sound signal or else you could hear it by stepping out of your car :)
 
No, not the speed of sound.
Radio is the wireless transmission of signals, by modulation of electromagnetic waves.
 
Well that makes sense; although, it would be nice to hear the radio when you stepped out of your car. So wavelength=v/f=3.0e8/1.065e8=2.82m right??
 
Yup that is right.
 
Thanks so much!
 

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