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

In summary, to find the signal wavelength of a radio station with a frequency of 106.5 MHz, you would use the speed of a photon (~3.0 x 10^8) instead of the speed of sound. The wavelength is calculated to be 2.82m.
  • #1
lilkrazyrae
64
0
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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  • #2
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 :)
 
  • #3
No, not the speed of sound.
Radio is the wireless transmission of signals, by modulation of electromagnetic waves.
 
  • #4
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??
 
  • #5
Yup that is right.
 
  • #6
Thanks so much!
 

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

What is the signal wavelength?

The signal wavelength refers to the distance between two consecutive peaks or troughs of a signal wave.

Why is it important to find the signal wavelength?

Finding the signal wavelength is important for various reasons, such as determining the frequency and energy of the signal, understanding its behavior and properties, and using it for various applications in fields like telecommunications and remote sensing.

How do you find the signal wavelength?

The signal wavelength can be found by dividing the speed of light (3 x 10^8 m/s) by the frequency of the signal (in Hertz). This gives the wavelength in meters. Alternatively, it can be measured directly by using specialized equipment such as a spectrometer or an oscilloscope.

What factors can affect the signal wavelength?

The signal wavelength can be affected by the medium through which it travels, such as air, water, or glass. It can also be influenced by external forces like temperature, pressure, or interference from other waves.

Can the signal wavelength change over time?

Yes, the signal wavelength can change over time. This can happen due to various reasons, such as changes in the source of the signal, the medium through which it travels, or external factors affecting the signal. It is important to regularly monitor and measure the signal wavelength to account for any potential changes.

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