For an electromagnetic wave, the basic relationship between frequency, wavelength and speed of the wave (which is the speed of light) is
![\lambda= (c)/(f)](https://img.qammunity.org/2019/formulas/physics/college/wvba5hndcrq15xcg6z09f7tptlnhwcaz5s.png)
where
c is the speed of light
f is the frequency of the wave
![\lambda](https://img.qammunity.org/2019/formulas/physics/college/xkhb3hdgeg4aavb9pvg1c4kt14yl6rgqn5.png)
is the wavelength
Plugging the numbers given by the problem into the equation, we find the wavelength:
![\lambda= (c)/(f)= (3 \cdot 10^8 m/s)/(3.0 \cdot 10^9 Hz)=0.1 m](https://img.qammunity.org/2019/formulas/physics/high-school/l8xb793ai9eymt8qeqqpzx6sa8vr5g4hhl.png)