Problem 2: Clarinet Hero: A clarinet acts like a tube that is closed at one end (where the reed is) and open at the other (where the bell is). There are holes down the clarinet's length that can be closed by the player's ngers. a) When all of the holes are closed, so that the clarinet acts as a simple tube, the note produced is a D3 (D in octave 3), with a frequency of f = 147 Hz. How long is a clarinet? Assume that the speed of sound is 343 m/s. b) Opening one of the holes changes the note that sounds by restricting the allowed harmonics. Is the location of an open hole a pressure node or antinode? Explain. Hint: When a specific hole is opened, the pressure at that specic point must be same as the outside, atmospheric pressure. c) An important key on the clarinet is the register key, which opens a hole one-third of the way down the clarinet's length (closer to the reed end). What fundamental frequency sounds when the register hole is open (and all other holes remain closed)? (3)