A pipe that is open at both ends will form standing waves, if properly excited, with antinodes near both ends of the pipe. Suppose we have an open pipe 40 cm in length.
a. Sketch the standing-wave pattern for the fundamental standing wave for this pipe. (There will be a node in the middle and antinodes at either end.)
b. What is the wavelength of the sound waves that interfere to form the fundamental wave?
c. If the speed of sound in air is 340 m/s, what is the frequency of this sound wave?
d. If the air temperature increases so that the speed of sound is now 350 m/s, by how much does the frequency change?
e. Sketch the standing-wave pattern and find the wavelength and frequency for the next harmonic in this pipe.