Question

highest frequency; lowest frequency (with wave graphs)

Explanation:

Step1: Recall frequency - wavelength relation

Frequency ($f$) and wavelength ($\lambda$) are related by $v = f\lambda$ (for a wave, $v$ is speed). Higher frequency means more cycles (oscillations) in a given length, so shorter wavelength. Lower frequency means fewer cycles, longer wavelength.

Step2: Analyze the graphs

• The blue (middle) wave has the most cycles (highest number of oscillations) in the given space, so it has the highest frequency.
• The bottom (gray) wave has the fewest cycles (lowest number of oscillations) in the given space, so it has the lowest frequency.

Step3: Match to labels

We need to place the "Highest frequency" label with the wave having most cycles (blue middle one) and "Lowest frequency" with the wave having fewest cycles (bottom gray one). Wait, the question seems to be about identifying which wave corresponds to highest and lowest frequency. Wait, the left column has "Highest frequency" at top, "Lowest frequency" at bottom. The right column has four waves? Wait, looking at the image:

• Top right (purple) has 3 cycles.
• Middle right (blue) has many cycles (highest).
• Third right (teal) has 6 cycles? Wait no, let's count cycles (number of peaks or troughs).

Wait, the bottom right (gray) has 1 cycle (lowest frequency). The middle right (blue) has the most cycles (highest frequency). The top right (purple) has 3 cycles, the teal has 6? Wait no, maybe the vertical axis is not shown, but horizontal length is same. So in same horizontal length, more cycles → higher frequency.

So "Highest frequency" should be the wave with most cycles (middle blue one), "Lowest frequency" with least cycles (bottom gray one).

Answer:

Highest frequency corresponds to the middle (blue) wave; Lowest frequency corresponds to the bottom (gray) wave. (If the question was to match, e.g., the "Highest frequency" box to the correct wave, it's the middle blue wave; "Lowest frequency" to the bottom gray wave.)