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Four waves are produced when a harp is strummed at four different times.

\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{1}{|c|}{ Wave 1 } & \multicolumn{1}{|c|}{ Wave 2 } & \multicolumn{1}{c|}{ Wave 3 } & \multicolumn{1}{c|}{ Wave 4 } \\
\hline \begin{tabular}{l}
A thick, middle \\
string is strummed \\
at [tex]$70 dB$[/tex].
\end{tabular} & \begin{tabular}{l}
A thick, middle \\
string is strummed \\
at [tex]$26 dB$[/tex]
\end{tabular} & \begin{tabular}{l}
The long, thin \\
string on one end \\
of the harp is \\
strummed at [tex]$20 dB$[/tex]
\end{tabular} & \begin{tabular}{l}
The short, thin \\
string on one end \\
of the harp is \\
strummed at [tex]$56 dB$[/tex].
\end{tabular} \\
\hline
\end{tabular}

Which wave will produce the highest pitch?

A. Wave 1
B. Wave 2
C. Wave 3
D. Wave 4



Answer :

GinnyAnswer
To determine which wave will produce the highest pitch, we need to consider the properties of the strings being strummed. In general, the pitch of a stringed instrument depends on the length, thickness, and tension of the string. Here, we focus on the descriptions given:

1. Wave 1:
- String: Thick and middle
- Volume: 70 dB

2. Wave 2:
- String: Thick and middle
- Volume: 26 dB

3. Wave 3:
- String: Long and thin
- Volume: 20 dB

4. Wave 4:
- String: Short and thin
- Volume: 56 dB

When looking at the properties influencing pitch:
- Thickness: Thicker strings generally produce lower pitches than thinner strings.
- Length: Longer strings generally produce lower pitches than shorter strings.

Each case breakdown:

- Wave 1 and Wave 2 both involve a thick, middle string, which typically produce a lower pitch. Even though Wave 1 is louder (70 dB), the loudness doesn't affect the pitch.

- Wave 3 involves a long, thin string. While thinner strings contribute to a higher pitch, the length here is long, which tends to lower the pitch.

- Wave 4 involves a short, thin string. Short strings produce higher pitches, and since this string is also thin, it would further increase the pitch.

Combining these observations, Wave 4 (short and thin string) will produce the highest pitch due to its shorter length and thinner thickness.

Therefore, the wave that will produce the highest pitch is:

Wave 4

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