The relationship between pressure and wavelength differs for sound waves and light waves.
For sound waves: In a medium such as air, the pressure and wavelength of a sound wave are inversely proportional. This relationship is described by the equation:
λ = c / f
where λ is the wavelength, c is the speed of sound in the medium, and f is the frequency of the sound wave. As frequency increases, the wavelength decreases, and vice versa. Since the speed of sound in a specific medium remains relatively constant, changes in wavelength are primarily due to variations in frequency. Therefore, as the frequency of a sound wave increases, the pressure changes occur more frequently in a given time period, resulting in higher pressure variations.
For light waves: In contrast to sound waves, the pressure variations in light waves are not directly related to their wavelength. Light waves are electromagnetic waves, and their properties are described by their frequency (f) and wavelength (λ). The relationship between wavelength and pressure does not exist for light waves, as pressure is not a characteristic of electromagnetic waves. Instead, light waves exhibit different properties such as intensity, polarization, and frequency.
It's worth noting that while the relationship between pressure and wavelength differs for sound waves and light waves, both can exhibit wave-like behavior and are governed by wave equations.