Pipe A is 0.50 m long and open at both ends.Pipe B is open at one end and closed at the other end.Determine the length of pipe B so that it has the same fundamental frequency as A.
A)0.25 m
B)0.50 m
C)0.75 m
D)1.0 m
E)2.0 m

Question

Quizplus · Accepted Answer

The fundamental frequency of a pipe open at both ends is given by:f = (v/2L)where v is the speed of sound and L is the length of the pipe.The fundamental frequency of a pipe open at one end and closed at the other end is given by:f = (v/4L)For the two pipes to have the same fundamental frequency, we must have:(v/2L) = (v/4L)which gives:L = 2LTherefore, the length of pipe B must be twice the length of pipe A, which is 0.50 m. So, the correct answer is A) 0.25 m.

Pipe a Is 0