Physics

Physics

Problem

Water waves in a pond have wavelength 0.40 m0.40\,\text{m}. While a particular crest travels 18 m18\,\text{m} parallel to the surface, how many complete crests pass a fixed stick standing in the water? a) 3636 b) 4545 c) 4040 d) 7272
Intuitive explanation

The key is to distinguish between how far a single crest travels (which tells you the wave's speed) and how many new crests arrive at a fixed point in that same time. As one crest moves 18 m, the wavelength tells you how much "new wave" enters the stick's location—think of it like a conveyor belt where each segment is 0.40 m long. Divide the distance traveled by the wavelength to count how many complete wave segments pass by.

Intuitive explanation

The key is to distinguish between how far a single crest travels (which tells you the wave's speed) and how many new crests arrive at a fixed point in that same time. As one crest moves 18 m, the wavelength tells you how much "new wave" enters the stick's location—think of it like a conveyor belt where each segment is 0.40 m long. Divide the distance traveled by the wavelength to count how many complete wave segments pass by.

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