As the period of a wave decreases, the frequency of the waveGroup of answer choicesdecreases.Scratchremains the same.Scratchincreases.

Wave Properties Relationship

The relationship between the period (T) and frequency (f) of a wave is inversely proportional, described by the formula:

$f = \frac{1}{T}$

Where:

• $f$ is the frequency of the wave (in Hertz, Hz),
• $T$ is the period of the wave (in seconds).

Analysis

1. Period Decrease: If the period $T$ decreases, it implies that the wave oscillates more rapidly.
2. Frequency Increase: As $T$ decreases, substituting into the formula shows an increase in frequency ($f$).

Conclusion

Thus, when the period of a wave decreases, the frequency increases.

Final Answer

The correct answer is that as the period of a wave decreases, the frequency of the wave increases.