When discussing light or sound, there is an inverse relationship between wavelength and frequency.
In the case of light, wavelength refers to the distance between two consecutive peaks or troughs of an electromagnetic wave. Frequency, on the other hand, represents the number of wave cycles that pass a given point per unit of time. The relationship between the two is governed by the speed of light, which is a constant in a given medium. As wavelength increases, frequency decreases, and vice versa. This relationship is described by the equation:
c = λν
where: c is the speed of light, λ (lambda) is the wavelength, and ν (nu) is the frequency.
In the case of sound, wavelength refers to the distance between two consecutive compressions or rarefactions in a sound wave. Frequency, similarly, represents the number of wave cycles that pass a given point per unit of time. Again, there is an inverse relationship between wavelength and frequency in sound waves. As wavelength increases, frequency decreases, and vice versa. The relationship between wavelength, frequency, and the speed of sound in a medium is given by the equation:
v = λf
where: v is the speed of sound, λ (lambda) is the wavelength, and f is the frequency.
In summary, for both light and sound waves, an increase in wavelength corresponds to a decrease in frequency, and a decrease in wavelength corresponds to an increase in frequency.