Levi observed properties of three different waves and recorded observations about each one in his chart.

\begin{tabular}{|l|l|}
\hline
Wave & Observations \\
\hline
W & \begin{tabular}{l}
travels fastest \\
through metal
\end{tabular} \\
\hline
X & \begin{tabular}{l}
travels fastest \\
through air
\end{tabular} \\
\hline
Y & \begin{tabular}{l}
travels more slowly \\
through water than \\
air
\end{tabular} \\
\hline
\end{tabular}

Which statement is best supported by the table?

A. Wave [tex]$W$[/tex] and [tex]$Y$[/tex] are light waves.
B. Wave [tex]$X$[/tex] is a sound wave.
C. Wave [tex]$W$[/tex] is a light wave.
D. Waves [tex]$X$[/tex] and [tex]$Y$[/tex] are sound waves.
E. Wave [tex]$Y$[/tex] is a sound wave.
F. Waves [tex]$X$[/tex] and [tex]$W$[/tex] are light waves.
G. Wave [tex]$W$[/tex] is a sound wave.
H. Waves [tex]$X$[/tex] and [tex]$Y$[/tex] are light waves.



Answer :

Based on the observations recorded by Levi:

1. Wave [tex]\( W \)[/tex] travels fastest through metal.
2. Wave [tex]\( X \)[/tex] travels fastest through air.
3. Wave [tex]\( Y \)[/tex] travels more slowly through water than through air.

We can evaluate the given statements by comparing the properties of light waves and sound waves:

- Light waves:
- Generally travel fastest in less dense mediums (e.g., fastest in air, slower in water, and even slower in metal).
- Sound waves:
- Travel fastest in denser mediums (e.g., fastest in solids like metal, slower in liquids like water, and slowest in gases like air).

Given these principles:

1. Wave [tex]\( W \)[/tex]:
- Since it travels fastest through metal, it is likely a light wave as light travels fastest in denser mediums.
2. Wave [tex]\( X \)[/tex]:
- Since it travels fastest through air, it suggests it is a sound wave as sound travels fastest in gases compared to liquids and solids.
3. Wave [tex]\( Y \)[/tex]:
- Since it travels more slowly through water than through air, it suggests it is a sound wave, as sound travels slower in liquids compared to gases.

Now, we evaluate the statements one by one:

1. Wave [tex]\( W \)[/tex] and [tex]\( Y \)[/tex] are light waves:
- Incorrect. Given the information, Wave [tex]\( Y \)[/tex] does not exhibit properties of a light wave.
2. Wave [tex]\( X \)[/tex] is a sound wave:
- Correct. Wave [tex]\( X \)[/tex] travels fastest through air, which is characteristic of a sound wave.
3. Wave [tex]\( W \)[/tex] is a light wave:
- Correct. Wave [tex]\( W \)[/tex] travels fastest through metal, indicating it is likely a light wave.
4. Waves [tex]\( X \)[/tex] and [tex]\( Y \)[/tex] are sound waves:
- Incorrect. Wave [tex]\( Y \)[/tex] is a sound wave, but Wave [tex]\( X \)[/tex] exhibits properties of a light wave.
5. Wave [tex]\( Y \)[/tex] is a sound wave:
- Correct. Wave [tex]\( Y \)[/tex] travels more slowly through water than through air, characteristic of a sound wave.
6. Waves [tex]\( X \)[/tex] and [tex]\( W \)[/tex] are light waves:
- Incorrect. Wave [tex]\( W \)[/tex] is a light wave, but Wave [tex]\( X \)[/tex] does not fit the properties of a light wave.
7. Wave [tex]\( W \)[/tex] is a sound wave:
- Incorrect. Wave [tex]\( W \)[/tex] travels fastest through metal, characteristic of a light wave.
8. Waves [tex]\( X \)[/tex] and [tex]\( Y \)[/tex] are light waves:
- Incorrect. Wave [tex]\( Y \)[/tex] does not exhibit the properties of a light wave.

Therefore, the statements best supported by the table are:
- Wave [tex]\( X \)[/tex] is a sound wave,
- Wave [tex]\( W \)[/tex] is a light wave, and
- Wave [tex]\( Y \)[/tex] is a sound wave.

Hence, the correct statements are:
1. Wave [tex]\( X \)[/tex] is a sound wave,
2. Wave [tex]\( W \)[/tex] is a light wave, and
3. Wave [tex]\( Y \)[/tex] is a sound wave.

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