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

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To calculate the wavelength of a 106.5 MHz FM radio signal, the correct formula is wavelength = speed of light / frequency. The speed of light is approximately 3.0 x 10^8 meters per second. Using this, the calculation yields a wavelength of about 2.82 meters for the 106.5 MHz signal. It's important to use the speed of light rather than the speed of sound, as radio signals are electromagnetic waves. This understanding clarifies how radio broadcasting works.
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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!
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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