21. How does wavelength affect the amount of diffraction a wave will experience as it goes around a barrier? 22. The wavelength of a water wave is 6.0 m. If its period is 5.0 s, how far will one wave travel in 5.0 minutes? (2 marks)

21. The amount of diffraction a wave experiences depends directly on the wavelength and inversely on the size of the barrier or opening. **Longer wavelengths diffract more than shorter wavelengths** when encountering the same barrier. Think of it like this: a longer wave bends more easily around an obstacle. If the wavelength is much smaller than the barrier, diffraction is minimal. If the wavelength is comparable to or larger than the barrier, diffraction is significant.<br /><br />22. Here's how to solve this problem:<br /><br />* **Step 1: Calculate the wave speed.** Wave speed (v) is calculated using the formula: v = wavelength (λ) / period (T). In this case, v = 6.0 m / 5.0 s = 1.2 m/s.<br /><br />* **Step 2: Convert time to seconds.** 5.0 minutes * 60 seconds/minute = 300 seconds.<br /><br />* **Step 3: Calculate the distance traveled.** Distance (d) is calculated using the formula: d = speed (v) * time (t). Therefore, d = 1.2 m/s * 300 s = 360 m.<br /><br />So, the wave will travel **360 meters** in 5.0 minutes.<br />