As wavelength increases, the frequency decreases. This relationship is a fundamental property of waves and is described by the wave equation:
v = λf
where: v is the velocity of the wave, λ (lambda) is the wavelength, and f is the frequency.
According to this equation, the velocity of a wave is constant for a given medium, so when the wavelength increases, the frequency must decrease in order to maintain a constant velocity.
To understand this relationship intuitively, consider ocean waves. As you observe waves in the ocean, you may notice that longer waves take more time to pass by, while shorter waves pass by more frequently. The same principle applies to other types of waves, including electromagnetic waves such as light.
In summary, as the wavelength of a wave increases, the frequency decreases, resulting in fewer wave cycles occurring per unit of time.