The French horn, one of the most beautiful-sounding instruments in the orchestra, consists of about 3.21m(roughly 10.5ft ) of thin tubing, rolled into a spiral shape (although sizes do vary). The player blows into the mouthpiece, which can be treated as a closed end, and places his hand in the opposite end, which has a large flared opening. In brass instruments, the fundamental note is not normally playable. Instead the first overtone is the lowest playable note.
a) If the player's hand keeps the large end open, what is the frequency of the lowest playable note?
b) If the player now closes the large end with his hand, what is the frequency of the lowest playable note?