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Yulia observed a sound wave moving through a solid medium at four different temperatures and recorded observations about each one in the chart.

\begin{tabular}{|l|l|}
\hline \multicolumn{1}{|c|}{Wave} & \begin{tabular}{c}
Temperature \\
(degrees Celsius)
\end{tabular} \\
\hline W & 15 \\
\hline [tex]$X$[/tex] & 33 \\
\hline [tex]$Y$[/tex] & 12 \\
\hline [tex]$Z$[/tex] & 2 \\
\hline
\end{tabular}

Which correctly ranks, from fastest to slowest, the time it will take one wavelength to pass a certain point?

A. Wave [tex]$X \rightarrow$[/tex] Wave [tex]$Y \rightarrow$[/tex] Wave [tex]$W \rightarrow$[/tex] Wave [tex]$Z$[/tex]

B. Wave [tex]$Z \rightarrow$[/tex] Wave [tex]$W \rightarrow$[/tex] Wave [tex]$Y \rightarrow$[/tex] Wave [tex]$X$[/tex]

C. Wave [tex]$X \rightarrow$[/tex] Wave [tex]$W \rightarrow$[/tex] Wave [tex]$Y \rightarrow$[/tex] Wave [tex]$Z$[/tex]

D. Wave [tex]$Z \rightarrow$[/tex] Wave [tex]$Y \rightarrow$[/tex] Wave [tex]$W \rightarrow$[/tex] Wave [tex]$X$[/tex]

Sagot :

GinnyAnswer
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]
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