As the frequency (latex: \nuν) of the electromagnetic radiation increases, how does its wavelength (latex: \lambdaλ) change?

Answer in explanation

Explanation:

To give the relationship between both, we need to use the popular Planck’s equation in two forms.

E = hf

E = hc/lambda

Where lambda is the wavelength. From the first equation, we know that the energy and frequency are directly proportional. This means that the higher the energy, the higher the frequency. h is just a Constant.

From the second equation, we can see that there is an inverse relationship between energy and wavelength. This means that the higher the energy, the lower the wavelength.

We can use this to make a conclusion about how wavelength varies with frequency. Using the energy as a common ground, we can see that the frequency and wavelength are inversely proportionate. The higher the wavelength, the lower the frequency

That’s why on the spectrum, electromagnetic radiation such as radio waves have very long wavelength but penetrates with lower frequency while gamma rays with much more lower wavelength have higher frequency of penetration