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

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SUMMARY

The wavelength of a 106.5 MHz FM radio signal is calculated using the formula wavelength = v/f, where v is the speed of light in a vacuum (approximately 3.0 x 10^8 m/s) and f is the frequency (106.5 x 10^6 Hz). The correct calculation yields a wavelength of approximately 2.82 meters. It is essential to use the speed of light rather than the speed of sound, as radio signals are electromagnetic waves, not sound waves. This distinction is crucial for accurate wavelength determination.

PREREQUISITES
  • Understanding of electromagnetic wave propagation
  • Familiarity with the formula for wavelength calculation
  • Knowledge of the speed of light (3.0 x 10^8 m/s)
  • Basic concepts of frequency and its units (Hertz)
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  • Research the properties of electromagnetic waves
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  • Explore the relationship between frequency and wavelength in different media
  • Study the applications of FM radio signals in communication technology
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Students in physics or engineering, radio frequency engineers, and anyone interested in understanding the principles of radio wave propagation and communication technologies.

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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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