Wavelength and frequency are inversely related properties of a wave. Specifically, their relationship is described by the equation:

λ×ν=c\lambda \times \nu =cλ×ν=c

where:

• λ\lambda λ is the wavelength,
• ν\nu ν (nu) is the frequency,
• ccc is the speed of light in a vacuum (approximately 3×1083\times 10^83×108 meters per second).

This means that as the wavelength of a wave decreases, its frequency increases proportionally, and vice versa. The product of wavelength and frequency always equals the constant speed of light for electromagnetic waves. Thus, shorter wavelengths correspond to higher frequencies, and longer wavelengths correspond to lower frequencies

. This inverse proportionality holds for all types of waves traveling at a constant speed in a given medium, including sound waves and electromagnetic radiation. For electromagnetic waves, since they all travel at the same speed in a vacuum, the frequency is completely determined by the wavelength and vice versa