
Explanation
Correct labeling of wave parameters λ, T, and a Steps: - Recall definitions: In y vs. x graphs, λ is distance between consecutive peaks, a is maximum |y|; in y vs. t graphs, T is time between consecutive peaks, a is maximum |y|. - Inspect A and B (y vs. x): Check if λ marks full wavelength and a marks peak height. - Inspect C and D (y vs. t): Check if T marks full period and a marks peak height. - Identify the single graph where all labels match definitions without errors like halving distances or confusing parameters. Why D is correct: - D accurately labels T as the full time interval between identical points on the y-t curve and a as the maximum displacement, per the wave period definition T = 1/f. Why the others are wrong: - A: Labels λ as half the distance between peaks, underestimating wavelength. - B: Mislabels amplitude a as the full peak-to-trough distance instead of peak height. - C: Labels T as half the time between peaks, confusing it with half-period. Final …
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