Reationship between a wave's frequency and it's wavelength

Let’s start with some basics,

What is Wavelength ??

A wavelength is a measure of distance between two identical peaks “Crest” (high points) or “Troughs” (low points) in a wave.

A wave is a repeating pattern of traveling energy for eg. Light, sound etc.

What is frequency ??

Frequency describes the number of repetitions/Cycles per unit time.

In the electromagnetic spectrum there are many different types of waves with varying frequencies and wavelengths.

They are all related by one important equation:

Any electromagnetic wave's frequency multiplied by its wavelength equals the speed of light

Frequency (f) × Wavelength (λ)= Speed of light(c)

f × λ = c

We can use this relationship to calculate the wavelength or frequency of any electromagnetic wave if we have the other measurement. Just divide the speed of light by whichever measurement you have and then you've got the other.

Frequency = Speed of Light / Wavelength

f = c / λ

Wavelength = Speed of Light / Frequency

λ = c / f

Above formula indicates that there is a inverse relationship between wavelength and frequency.

Higher the frequency, shorter will be the Wavelength.

Lower the frequency, Longer will be the Wavelength.

Happy Learning, Thank you.

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