An open pipe of length L is resonating at its fundamental frequency. Which statement is correct?
A) The wavelength is 2L and there is a displacement node at the pipe's midpoint.
B) The wavelength is 2L and there is a displacement antinode at the pipe's midpoint.
C) The wavelength is L and there is a displacement node at the pipe's midpoint.
D) The wavelength is L and there is a displacement antinode at the pipe's midpoint.
E) The wavelength is 3L/2 and there are two displacement antinodes located inside the pipe.

Question

Quizplus · Accepted Answer

The fundamental frequency of an open pipe is given by f = v/2L, where v is the speed of sound and L is the length of the pipe. The wavelength is given by lambda = v/f = 2L. The displacement is maximum at the ends of the pipe and zero at the midpoint, so there is a displacement node at the pipe's midpoint.

An Open Pipe of Length L Is Resonating at Its