Question

when the frequency of a wave increases, what happens to the wavelength? the wavelength decreases. more specific information is needed to form a conclusion about the wavelength. the wavelength increases. the wavelength is not directly affected by the frequency of a wave.

Explanation:

Step1: Recall wave speed formula

The fundamental relationship for waves is $v = f\lambda$, where $v$ is wave speed, $f$ is frequency, and $\lambda$ is wavelength.

Step2: Rearrange for wavelength

Isolate wavelength: $\lambda = \frac{v}{f}$

Step3: Analyze inverse proportionality

For a wave traveling in a fixed medium, $v$ is constant. So $\lambda$ is inversely proportional to $f$. When $f$ increases, $\lambda$ decreases.

Answer:

A. The wavelength decreases.