The wavelength is related to the frequency and the speed of a wave by the following relationship:
[tex]\lambda= \frac{v}{f} [/tex]
where
[tex]\lambda[/tex] is the wavelength
v is the speed of the wave
f is its frequency
The radio signal in our problem has a frequency of
[tex]f=10.4 GHz = 10.4 \cdot 10^9 Hz[/tex]
and a speed of
[tex]v=2.998 \cdot 10^8 m/s[/tex]
Therefore, we can use the previous formula to find its wavelength:
[tex]\lambda = \frac{v}{f}= \frac{2.998 \cdot 10^8 m/s}{10.4 \cdot 10^9 Hz}=2.88 \cdot 10^{-2} m = 2.88 cm [/tex]
