Five organ pipes are described below. Which one has the highest frequency fundamental?
A) A 2.3-m pipe with one end open and the other closed
B) A 3.3-m pipe with one end open and the other closed
C) A 1.6-m pipe with both ends open
D) A 3.0-m pipe with both ends open
E) a pipe in which the displacement nodes are 5-m apart

Question

Quizplus · Accepted Answer

The fundamental frequency of a pipe with both ends open is given by f = (nv/2L), where n is the harmonic number, v is the speed of sound, and L is the length of the pipe. Since all the pipes have the same speed of sound, the pipe with the shortest length (1.6 m) will have the highest fundamental frequency.

Five Organ Pipes Are Described Below