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
