In a standing wave, what point experiences maximum displacement?

In a standing wave, what point experiences maximum displacement?

• A. Node
• B. Crest
• C. Trough
• D. Fringe

Answer: (B)

In a standing wave, the points of maximum displacement occur at the crests and troughs of the wave. The crest is the highest point of the wave, representing the maximum positive displacement from the equilibrium position, whereas the trough is the lowest point, corresponding to the maximum negative displacement. The critical aspect of a standing wave is that it consists of stationary points, known as nodes, where there is no displacement, and antinodes, where the maximum displacement occurs. Since the question asks about the specific point with maximum displacement, the correct answer is the crest, which represents one of the two extreme positions in the standing wave. While the answer provided identifies the crest correctly as having maximum displacement, it should also note that standing waves include troughs as another location of maximum displacement at the opposite end of the wave cycle. Hence, both the crest and trough are significant in defining the behavior of standing waves, but the question emphasizes the peak position, which is represented by the crest.

In a standing wave, the points of maximum displacement occur at the crests and troughs of the wave. The crest is the highest point of the wave, representing the maximum positive displacement from the equilibrium position, whereas the trough is the lowest point, corresponding to the maximum negative displacement. The critical aspect of a standing wave is that it consists of stationary points, known as nodes, where there is no displacement, and antinodes, where the maximum displacement occurs. Since the question asks about the specific point with maximum displacement, the correct answer is the crest, which represents one of the two extreme positions in the standing wave.

While the answer provided identifies the crest correctly as having maximum displacement, it should also note that standing waves include troughs as another location of maximum displacement at the opposite end of the wave cycle. Hence, both the crest and trough are significant in defining the behavior of standing waves, but the question emphasizes the peak position, which is represented by the crest.