(a) Which of the following resonant systems will only support the odd harmonics of a standing wave pattern?
i. A tube that is open at both ends
ii. None of these options are correct. They will all support both even and odd harmonics.
iii. A string that is fixed at both ends
iv. A tube that is closed at both ends
v. A tube that is open at one end and closed at the other
(b) Consider two different woodwind instruments: a clarinet which acts like a tube that is closed at one end, and a flute which acts like a tube that is open at both ends. The same musical note (e.g., B-flat above middle C) played by the two instruments will sound quite different. Which of the following are true facts that could contribute to the difference? (Assume both instruments are perfectly well tuned)
(i) The fundamental frequency for the note is different for the clarinet than it is for the flute.
(ii) The harmonic spectrum of the two instruments differs: the clarinet (an "open-close" tube) exhibits only odd harmonics.
(iii) The harmonic spectrum of the two instruments differs: the flute (an "open-open" tube) exhibits both odd and even harmonics.
All three statements are true.
Only statement (i) is true.
None of these statements are true.
Only statement (ii) is true.
Only statements (ii) and (iii) are true.
Only statements (i) and (ii) are true.