During an orchestra rehearsal, three instruments—labeled Note A, Note B, and Note C—each sustain a steady tone in air at 20∘C. A sound‐pressure meter placed the same distance from each instrument records the following data:
• Note A: frequency 220Hz, pressure amplitude 1.2Pa
• Note B: frequency 330Hz, pressure amplitude 2.0Pa
• Note C: frequency 440Hz, pressure amplitude 0.5Pa
Assume the acoustic power transmitted by a periodic sound wave in air is directly proportional to its frequency. The surrounding medium and the distance to the meter are the same for all three notes.
(a) Rank the three notes from highest perceived pitch to lowest perceived pitch. Clearly state any quantities you use to support your ranking.
(b) Rank the three notes from greatest acoustic power delivered to the meter to least acoustic power. Justify your answer using the data provided.
(c) A student claims, “Note B must deliver the most energy because it is the loudest.” Evaluate this claim in light of the information above, and explain why it is or is not correct.