In physics, frequency and wavelength are inversely proportional to each other. As the wavelength of a wave increases, its frequency decreases, and vice versa.
Mathematically, the relationship between frequency (f) and wavelength (λ) is given by the equation:
c = f * λ
where: c is the speed of light in a given medium (such as air or vacuum).
From this equation, we can see that if the wavelength increases, the frequency must decrease to keep the product of frequency and wavelength (c) constant.
This relationship can be observed in various types of waves, including electromagnetic waves such as visible light. For example, red light has a longer wavelength and a lower frequency compared to blue light, which has a shorter wavelength and a higher frequency. Similarly, in sound waves, a lower pitch corresponds to longer wavelengths and lower frequencies, while a higher pitch corresponds to shorter wavelengths and higher frequencies.