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1. A stopped organ pipe (closed pipe) has afundamental frequency of 220 Hz. Cons

ID: 1681798 • Letter: 1

Question

1.     A stopped organ pipe (closed pipe) has afundamental frequency of 220 Hz. Consider the speed of soundto be 340 m/s.

a)    What is the length of the pipe? (2points)

b)    The second overtone of this pipe has the samewavelength as the third harmonic of an open pipe. How long isthe open pipe? (3 points)

Explanation / Answer

a) f = v / 4L       ==> L = v / 4 f                  = 340 / 4 * 220                  = 0.3863 m b) Given that                  2 f = 3 v / 2L       ==> L = 3 v / 4 f                  = 3 * 340 / 4 * 220                  = 1.159 m