Question

jason is excited because he has always loved music and his local tech school has introduced a program where he can become certified as a piano tuner. he thought that they would immediately be working on the actual pianos, but the first lesson was on the relationship between harmonics and resonance frequency so they would clearly understand how sound is produced in pianos. what are two true facts that jason would have learned during that lesson? (2 points) the fundamental is the highest tone in the harmonic series and has multiple nodes and antinodes resonance is when an object such as a piano string, vibrates at its natural frequency and produces sound. a vibrating piano string can cause other strings in the piano to vibrate at the same resonant frequency even though they have not been hit by the hammer the strings in a piano are all the same diameter and length but they have different harmonics that produce the different sound. even though the strings in a piano are different lengths, they all have the same resonance frequency.

Explanation:

1. Analyze each option:

• Option 1: The fundamental is the lowest - not highest - tone in the harmonic series and has one node and two antinodes (or simple structure), so this is false.
• Option 2: Resonance occurs when an object (like a piano string) vibrates at its natural frequency, and this vibration produces sound. This is a correct fact about resonance and sound production in pianos.
• Option 3: When a piano string vibrates, it can cause other strings with the same resonant frequency (even if not hit by the hammer) to vibrate due to resonance. This is a correct fact about how resonance works in pianos.
• Option 4: Piano strings have different diameters, lengths, and tensions to produce different sounds, so this is false.
• Option 5: Different - length strings have different resonance frequencies (since frequency is related to length in vibrating strings), so this is false.

Answer:

B. Resonance is when an object such as a piano string, vibrates at its natural frequency and produces sound.
C. A vibrating piano string can cause other strings in the piano to vibrate at the same resonant frequency even though they have not been hit by the hammer.