Difficulty: Hard

Average Score: 33%

What does the graph indicate about the relationship between the speed of the sound and frequency?

Diagram for question

Rationale

The speed is not correlated to frequency.

The graph indicates that changes in frequency do not affect the speed of sound, suggesting that there is no direct correlation between these two variables in the context presented. This means that sound can travel at a constant speed regardless of its frequency.

A (The speed is directly proportional to frequency.) YOUR ANSWER

This choice implies that as frequency increases, speed would also increase proportionally. However, the graph shows no evidence of such a relationship, indicating that the speed of sound remains constant regardless of frequency changes.

B (The speed is not correlated to frequency.) CORRECT

This option correctly reflects the information presented in the graph. It shows that the speed of sound does not depend on frequency, remaining constant across different frequencies, which is characteristic of sound waves traveling through a medium.

C (The speed is inversely proportional to frequency.) YOUR ANSWER

An inverse relationship would suggest that as frequency increases, the speed of sound decreases. The graph does not support this concept, as it shows no fluctuation in speed with varying frequency, contradicting this option.

D (The speed is quadratically related to frequency.) YOUR ANSWER

This choice suggests a quadratic relationship where speed would change as the square of frequency changes. The graph does not depict any such relationship, as it maintains a consistent speed regardless of frequency alterations.

Conclusion

The relationship depicted in the graph clearly illustrates that the speed of sound remains constant irrespective of frequency changes, confirming that the speed is not correlated to frequency. This principle is fundamental in understanding wave behavior, as sound's propagation speed is determined primarily by the medium through which it travels, rather than its frequency.

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