Which property is frequency directly proportional to?

Frequency is fundamentally related to several properties in wave dynamics, particularly in ultrasound and sonography. In the context of this question, frequency is inversely proportional to both the period and wavelength, while attenuation and penetration depth are influenced by various factors but do not have the same direct proportionality.

Frequency is defined as the number of cycles that occur in a given unit of time. The period, which is the duration of one cycle, is the reciprocal of frequency; therefore, as the frequency increases, the period decreases, establishing an inverse relationship rather than a direct one.

Wavelength is also inversely proportional to frequency, as described by the wave equation where the speed of sound is equal to the product of frequency and wavelength. Thus, when frequency increases, the wavelength decreases.

Attenuation refers to the reduction in intensity of the ultrasound wave as it travels through tissue, influenced by factors such as frequency, tissue type, and distance. While higher frequencies tend to have greater attenuation due to increased scattering and absorption, this relationship is not simplified to direct proportionality.

Penetration depth is impacted by frequency, where lower frequencies can penetrate deeper into tissue, while higher frequencies provide better resolution but less penetration. Again, this is more of an inverse relationship; increased frequency