To determine the correct ranking of the sound waves based on the time it will take one wavelength to pass a certain point, we need to consider the relationship between temperature and the speed of sound. As the temperature of a medium increases, the speed of sound in that medium generally increases as well. Consequently, the time taken for a wavelength to pass a certain point decreases with increasing temperature.
Here are the given temperatures for each wave:
- Wave X: 33°C
- Wave Y: 12°C
- Wave W: 15°C
- Wave Z: 2°C
Let's rank the waves in order from the highest temperature to the lowest temperature, as higher temperatures result in faster speeds and shorter times for a wavelength to pass a certain point.
1. Wave X (33°C) - highest temperature, fastest speed
2. Wave W (15°C) - second highest temperature
3. Wave Y (12°C) - third highest temperature
4. Wave Z (2°C) - lowest temperature, slowest speed
Based on this ranking, the correct order from fastest to slowest time is:
- Wave X
- Wave W
- Wave Y
- Wave Z
Therefore, the correct answer is:
Wave [tex]\( X \rightarrow \)[/tex] Wave [tex]\( W \rightarrow \)[/tex] Wave [tex]\( Y \rightarrow \)[/tex] Wave [tex]\( Z \)[/tex]
