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A 97.3 FM radio station broadcasts electromagnetic waves at a frequency of [tex]97.3 \, \text{megahertz} \, (97.3 \times 10^6 \, \text{Hz})[/tex]. These radio waves travel at a speed of [tex]3.00 \times 10^8 \, \text{m/s}[/tex].

What is the wavelength of these radio waves?

*Include your units!*

Round your answer to the nearest hundredth (2 decimal places).

Answer :

The wavelength of the electromagnetic wave at the given frequency is 3.07 meters.

Given the following data:

  • Frequency =[tex]97.6 \times 10^6\; Hz[/tex]
  • Speed = [tex]3 \times 10^8\;m/s[/tex]

To determine the wavelength of the electromagnetic wave at the given frequency:

Mathematically, the wavelength of an electromagnetic wave is calculated by using the formula;

[tex]Wavelength = \frac{Speed }{frequency}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Wavelength = \frac{3 \times 10^8}{97.6\times 10^{6}}[/tex]

Wavelength = 3.07 meters.

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