A tube that is open at only one end will resonate at which of the following?
a. all harmonics
b. only the fundamental frequency
c. the odd harmonics
d. the even harmonics
I think it is c.
http://www.physicsclassroom.com/class/sound/Lesson-5/Open-End-Air-Columns Isn't it all harmoics?
To determine the answer, we need to understand the concept of resonant frequencies in a tube that is open at only one end.
When a tube is open at one end, it allows for the formation of standing waves inside the tube when a sound wave is directed into it. The length of the tube determines the resonant frequencies that can be produced.
In the case of a tube open at one end, it can be divided into two regions: the closed end and the open end. At the closed end, a node (point of zero displacement) is formed, while at the open end, an antinode (point of maximum displacement) is formed.
Now, let's examine the given options one by one:
a. all harmonics: This option would suggest that all harmonics are possible. However, in a tube open at one end, the presence of the closed end restricts the formation of certain standing wave patterns, eliminating certain harmonics.
b. only the fundamental frequency: This option suggests that only the fundamental frequency is possible. While the fundamental frequency does occur in a tube open at one end, it is not the only possible resonant frequency.
c. the odd harmonics: This option suggests that the odd harmonics (3rd harmonic, 5th harmonic, 7th harmonic, etc.) are resonant frequencies. This is correct. In a tube open at one end, the open end acts as an antinode, while the closed end acts as a node. This configuration allows only odd harmonics to be supported.
d. the even harmonics: This option suggests that the even harmonics (2nd harmonic, 4th harmonic, 6th harmonic, etc.) are resonant frequencies. This is incorrect. In a tube open at one end, the even harmonics are not supported because they would require a node at the open end, which is not possible.
Therefore, the correct answer is c. only the odd harmonics.