Understanding the Relationship

* Frequency (f): Measured in Hertz (Hz) and represents the number of wave cycles per second.

* Wavelength (λ): Measured in meters (m) and represents the distance between two consecutive peaks (or troughs) of a wave.

* Speed of light (c): A constant in vacuum, approximately 3 x 10⁸ m/s.

The relationship between these is:

c = fλ

Solving for Wavelength

1. Convert GHz to Hz: 30 GHz = 30 x 10⁹ Hz

2. Rearrange the equation: λ = c / f

3. Plug in the values: λ = (3 x 10⁸ m/s) / (30 x 10⁹ Hz)

4. Calculate: λ = 0.01 m

Answer: The wavelength of a 30 GHz radio wave in vacuum is 0.01 meters, or 1 centimeter.