Which physical property of a wave is directly related to its frequency?

The physical property of a wave that is directly related to its frequency is the wavelength. This relationship is described by the wave equation, which states that the speed of a wave is equal to the frequency multiplied by the wavelength. When the frequency of a wave increases, the wavelength decreases, and vice versa, assuming the speed of the wave remains constant.

For example, in electromagnetic waves, if the frequency is doubled, the wavelength becomes half as long. This inverse relationship between frequency and wavelength is a fundamental principle in wave mechanics and demonstrates how these two properties are interdependent in determining the characteristics of a wave. Understanding this relationship is crucial in various applications, from telecommunications to optics.

Other properties mentioned, such as amplitude, phase velocity, and intensity, are important in their own contexts but do not have a direct mathematical relationship with frequency like wavelength does. Amplitude pertains to the energy or strength of the wave, phase velocity involves the speed at which a specific phase of the wave propagates, and intensity relates to the amount of energy the wave carries per unit area.