### 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**.

Question

### 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**.

Knowee AI · Accepted Answer

### 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**.

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

Question

As the period of a wave decreases, the frequency of the wave

Solution

Wave Properties Relationship

Analysis

Conclusion

Final Answer

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