Five organ pipes are described below.Which one has the highest fundamental frequency?
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 an open-open pipe is given by f = (nv/2L), where n is a positive integer and L is the length of the pipe. Therefore, the shorter the pipe length, the higher the fundamental frequency. Option C has the shortest pipe length of 1.6 m, giving it the highest fundamental frequency. The other options have longer pipe lengths and therefore lower fundamental frequencies. The option E is not a pipe, and the length is not given, so it cannot be compared with the other options.

Five Organ Pipes Are Described Below