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=(3.00\cdot10^8)/(3.0\cdot10^(11))\Rightarrow\lambda_m=1\cdot10^(-3)m`

Radio:

`\lambda_r=(3.0\cdot10^8)/(3.0\cdot10^9)\Rightarrow\lambda_r=1\cdot10^(-1)m`

So, radio waves have a longer wavelength.