The diagram below represents the frequency spectrum of a musical instrument.

Reference:

Open vs Closed pipes (Flutes vs Clarinets)

https://www.phys.unsw.edu.au/jw/flutes.v.clarinets.html
Links to an external site.

Question

The diagram below represents the frequency spectrum of a musical instrument.

Reference:

Open vs Closed pipes (Flutes vs Clarinets)

https://www.phys.unsw.edu.au/jw/flutes.v.clarinets.html
Links to an external site.

BlackTom AI · Accepted Answer

The question states: The diagram below represents the frequency spectrum of a musical instrument, with a reference note about Open vs Closed pipes (Flutes vs Clarinets).

Option 1: Violin
Reasoning: A violin is a string instrument, not a pipe-based wind instrument. Its spectra show many overtones that are not constrained to the odd-only pattern of a closed pipe. This makes Violin an unlikely match for a spectrum intended to illustrate open vs closed pipe behavior.

Option 2: Flute
Reasoning: A flute is essentially an open pipe (air column open at both ends). Open pipes produce all integer harmonics (fundamental, 2f, 3f, 4f, ...). If the spectrum in the diagram showed strong even harmonics alongside odd ones, it would align with an open pipe. However, the reference provided explicitly contrasts open vs closed pipes, and the diagram features a spectrum more consistent with a closed pipe pattern, making Flute an unlikely match in this context.

Option 3: Clarinet
Reasoning: A clarinet behaves approximately as a closed (or nearly closed) air column because the reed and mouthpiece create a boundary that effectively closes the tube. Closed pipes support only odd harmonics (1f, 3f, 5f, ...), with the odd harmonics often more prominent and even harmonics suppressed. The reference link discusses open vs closed pipes, and the diagram’s harmonic pattern aligns with the spectrum expected from a closed pipe instrument like the clarinet. Therefore, this option matches the provided context.

Option 4: Guitar
Reasoning: A guitar is a stringed instrument, not an air column resonator, so its frequency spectrum involves string overtones and body resonances that do not correspond to the typical harmonics of a single air column (open or closed). The diagram’s focus on an air-column resonance spectrum makes Guitar an unlikely match.

In summary, the spectrum in the diagram aligns most closely with the harmonic pattern of a closed pipe (only odd harmonics), which is characteristic of a clarinet in the open vs closed pipes comparison. This makes Clarinet the best match among the options. The other instruments (Violin, Flute, Guitar) do not fit the closed-pipe harmonic pattern described.

SPHY001 Practice Quiz - Unit 17 | LA057

The diagram below represents the frequency spectrum of a musical instrument. Reference: Open vs Closed pipes (Flutes vs Clarinets) https://www.phys.unsw.edu.au/jw/flutes.v.clarinets.html Links to an external site.

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