The relationship between frequency (f), wavelength (λ), amplitude (A), period (T), and speed (v) can be summarized as follows:
Frequency (f): It represents the number of complete oscillations or cycles of a wave that occur per unit of time. The unit of frequency is hertz (Hz). The frequency is inversely proportional to the period, which is the time taken for one complete cycle of the wave.
Relationship: f = 1 / T
Wavelength (λ): It is the distance between two consecutive points in a wave that are in phase, such as two crests or two troughs. The unit of wavelength is usually meters (m). The wavelength is inversely proportional to the frequency.
Relationship: v = λf
This equation states that the velocity or speed (v) of a wave is equal to the product of its wavelength and frequency.
Amplitude (A): It represents the maximum displacement or distance from the equilibrium position of a wave. In other words, it measures the magnitude or strength of the wave. The unit of amplitude depends on the type of wave but is usually measured in meters (m) for mechanical waves.
Speed (v): It is the rate at which a wave propagates through a medium. The speed of a wave depends on the properties of the medium through which it travels. In a vacuum, the speed of electromagnetic waves, such as light, is approximately 299,792,458 meters per second (m/s).
Relationship: v = λf
This equation shows that the speed of a wave is directly proportional to its frequency and wavelength.
In summary, the frequency and wavelength are inversely proportional, the frequency and period are inversely proportional, the speed is equal to the product of the frequency and wavelength, and the amplitude represents the magnitude or strength of the wave.