Question

the graphs below describe two waves. the waves are traveling at the same speed. select the graph of the wave with the greater wavelength.

Explanation:

Step1: Recall the definition of wavelength

Wavelength ($\lambda$) is the distance between two consecutive crests (or troughs) of a wave.

Step2: Analyze the two graphs

In the left - hand graph, the wave oscillates more frequently. In the right - hand graph, the wave oscillates less frequently. Since the waves are traveling at the same speed ($v = f\lambda$, where $v$ is speed, $f$ is frequency and $\lambda$ is wavelength), a lower frequency ($f$) implies a larger wavelength ($\lambda$). Visually, the distance between consecutive crests (or troughs) is larger in the right - hand graph.

Answer:

The graph on the right.