What is the relationship between period and frequency?

The period of a wave is the amount of time it takes for one complete cycle of the wave to pass a given point. Frequency, on the other hand, is the number of complete cycles of a wave that pass a point in a second (measured in Hertz).

The relationship between period and frequency is inversely proportional, meaning that as the period of a wave increases, the frequency decreases and vice versa. Mathematically, the relationship between period (T) and frequency (f) can be expressed as:

f = 1 / T

or

T = 1 / f

This means that if the period of a wave is 2 seconds, its frequency would be 0.5 Hz (1/2), and if the frequency of a wave is 5 Hz, its period would be 0.2 seconds (1/5). This inverse relationship between period and frequency is a fundamental property of waves and is important in various fields such as physics, communication, and engineering.