Question

A beam of microwaves has a frequency of 3.0*10^ 11Hz. Radio waves have a frequency of 3.0*10^9 Hz. Calculate the wavelength of each. Which type of radiation has the longer wavelength?

Answer 1

We will have the following:

Assuming both are traveling in vacuum we will have the following:

Microwaves:

$\lambda_m=\frac{3.00\cdot10^8}{3.0\cdot10^{11}}\Rightarrow\lambda_m=1\cdot10^{-3}m$

Radio:

$\lambda_r=\frac{3.0\cdot10^8}{3.0\cdot10^9}\Rightarrow\lambda_r=1\cdot10^{-1}m$

So, radio waves have a longer wavelength.