Frequency and wavelength are inversely related: when one goes up, the other goes down, and their product equals the wave’s speed.

What that relationship means

For any wave moving at a constant speed vvv, frequency fff and wavelength λ\lambda λ are tied together by:
v=fλv=f\lambda v=fλ

  • If the frequency increases (more wave crests pass per second), the wavelength must get shorter to keep the speed the same.
  • If the frequency decreases, the wavelength must get longer.

For light in a vacuum, the speed is the speed of light ccc, so:
c=fλc=f\lambda c=fλ

Quick mental picture

Imagine standing in the ocean watching waves:

  • Closely spaced crests: short wavelength, waves hit you often → high frequency.
  • Widely spaced crests: long wavelength, waves hit you less often → low frequency.

Same idea holds for sound, water waves, and electromagnetic waves (like radio, microwaves, visible light): shorter wavelength means higher frequency at a given wave speed.

Mini example

Take visible light:

  • Violet light has a shorter wavelength than red light, so it has a higher frequency.
  • Red light has a longer wavelength, so it has a lower frequency.

That’s how frequency and wavelength are related: they’re locked together by the wave speed and always move in opposite directions.

Information gathered from public forums or data available on the internet and portrayed here.