Question

which wave in the diagram has the greatest wavelength?

Explanation:

Step1: Recall wavelength definition

Wavelength is the distance between two consecutive identical points (e.g., crests or troughs) on a wave. A longer wavelength means fewer cycles (repeats) of the wave in a given length.

Step2: Compare wave cycles

• Wave 1: Many small cycles.
• Wave 2: More cycles than Wave 3, smaller than Wave 1? (Wait, no—Wave 3 has fewer cycles. Let's count: Wave 3 has, say, 6 - 7 cycles? Wave 1 has more, Wave 2 has more than Wave 3. Wait, no—wavelength is inverse to frequency (number of cycles per length). So fewer cycles mean longer wavelength. So Wave 3 has the fewest cycles (largest distance between crests), so longest wavelength. Wait, the waves: Wave 3's crests are spaced further apart. Let's check the diagram: Wave 3 (the third one) has the largest distance between each peak (crest) or trough. So Wave 3 has the greatest wavelength. Wait, the options are Wave 1, 2, 3, 4? Wait, the diagram shows Wave 3 (the third wave) with fewer oscillations (cycles) in the same horizontal space. So fewer cycles → longer wavelength. So Wave 3. Wait, the question is "Which wave... has the greatest wavelength?" So among Wave 1, 2, 3 (Wave 4 is maybe a different type? But the first three are waves. So Wave 3 has the longest wavelength because it has the fewest number of cycles (oscillations) in the given length, meaning the distance between consecutive crests (wavelength) is the largest.

Answer:

Wave 3 (or the third wave in the diagram)