What is the relationship between frequency and period?

The correct understanding of the relationship between frequency and period is that frequency is the inverse of period. Frequency (measured in hertz, Hz) represents the number of cycles or oscillations that occur in one second. In contrast, the period (measured in seconds) is the duration of time it takes to complete one full cycle.

Mathematically, this relationship is defined as: [ \text{Frequency} = \frac{1}{\text{Period}} ]

or equivalently: [ \text{Period} = \frac{1}{\text{Frequency}} ]

This means that if you know the frequency, you can easily find the period by taking the reciprocal, and vice versa. If a wave has a high frequency, it has a short period, indicating that the waves are occurring rapidly one after another. Conversely, if the frequency is low, the period is longer, meaning the cycles are spaced further apart in time.

Other choices do not accurately capture this fundamental relationship. For example, stating that frequency equals period times wavelength mixes up the definitions and units of different physical concepts. Similarly, suggesting that period is double frequency or that frequency and period are unrelated does not align with their established scientific definitions.