What is the frequency of a wave that has a period of 0.5 seconds?

The frequency of a wave is determined by the reciprocal relationship to the period, which is the time it takes for one complete cycle of the wave to pass a given point. The formula that connects frequency (f) and period (T) is:

[ f = \frac{1}{T} ]

where T is measured in seconds and frequency is measured in hertz (Hz). Given a period of 0.5 seconds, you can calculate the frequency as follows:

[ f = \frac{1}{0.5} = 2 \text{ Hz} ]

This means that the wave oscillates twice per second, indicating a frequency of 2 Hz. The choice reflecting this calculation is therefore the correct answer. Understanding this relationship between period and frequency is crucial for analyzing wave behavior in various physics contexts.