An pipe of length L that is open at both ends is resonating at its fundamental frequency.Which statement about the sound 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.

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 antinode at the ends and a displacement node at the midpoint.

An Pipe of Length L That Is Open at Both