Question

The frequency of a microwave signal is 9.76 ghz. what is its wavelength? (c = 3.00 × 108 m/s)

Answer 1

The basic relationship between frequency of an electromagnetic wave and wavelength of the wave is
$c = \lambda f$
where $c=3 \cdot 10^8 m/s$ is the speed of light.

Manipulating the equation, we can rewrite it as
$\lambda = \frac{c}{f}$

The frequency of the wave in our problem is
$9.76 GHz = 9.76 \cdot 10^9 Hz$
so if we use the previous formula, we find the correspondant wavelength:
$\lambda = \frac{3 \cdot 10^8 m/s}{9.76 \cdot 10^9 Hz} =0.031 m$