Question

New 5G networks utilize millimeter-wave radiation. Millimeter-wave radiation refers to electromagnetic waves with frequencies in the range of 30-300 GHz. What are the free-space wavelengths that correspond to this frequency range

Answer 1

It corresponds to 1mm-10 mm range.

Step-by-step explanation:

• Electromagnetic waves (such as the millimeter-wave radiation) travel at the speed of light, which is 3*10⁸ m/s in free space.
• As in any wave, there exists a fixed relationship between speed, frequency and wavelength, as follows:

`v = \lambda * f (1)`

• Replacing v= c=3*10⁸ m/s, and the extreme values of f (which are givens), in (1) and solving for λ, we can get the free-space wavelengths that correspond to the 30-300 GHz range, as follows:

`\lambda_(low) = (c)/(f_(high)) = (3e8m/s)/(300e9Hz) = 1 mm (2)`

`\lambda_(high) = (c)/(f_(low)) = (3e8m/s)/(30e9Hz) = 10 mm (3)`