The fundamental frequency of a pipe closed at one end is f. What is the frequency of the third harmonic?

Question

BlackTom AI · Accepted Answer

We start by recalling the harmonic series for a pipe closed at one end. Such a pipe supports only odd harmonics, with frequencies that are integer multiples of the fundamental f, but only for odd integers: f, 3f, 5f, ... .

Option 7f: This would correspond to the seventh harmonic, which is not part of the odd-harmonic sequence for a closed pipe and is far higher than the third harmonic. Therefore this is incorrect.

Option 3f: This matches the third harmonic (n = 3) of a pipe closed at one end. Since only odd harmonics occur, the sequence goes f, 3f, 5f, ... and 3f is precisely the frequency of the third mode. This option aligns with the established pattern for closed-end pipes, so it is consistent with the theory.

Option 5f: This is the fifth harmonic, which is the next odd multiple after 3f. While 5f is a valid harmonic for a closed pipe, it does not correspond to the third harmonic as asked in the question, making this option incorrect for the stated question.

Option 6f: This value represents an even multiple and is not allowed in the harmonic series of a pipe closed at one end. Since even harmonics do not exist in this configuration, this option is incorrect.

SPHY001 Practice Quiz - Unit 18 | LA058

The fundamental frequency of a pipe closed at one end is f. What is the frequency of the third harmonic?

查看解析

登录即可查看完整答案

类似问题

A string that is fixed at both ends has a length of 2.36 m. When the string vibrates at a frequency of 77.0 Hz, a standing wave with five loops is formed. What is the wavelength of the waves that travel on the string?

The first harmonic of a closed pipe of length L is 300 Hz. To play the same note on an open pipe the length of the pipe could be

A standing wave is oscillating at 690 Hz on a string, as shown in the figure. What is the wave speed?

The diagrams below show two standing wave patterns that are set up in a stretched string fixed at both ends. The frequency of pattern 1 is f1 and that of pattern 2 is f2. The ratio f1/f2 =

An organ pipe is closed at one end. Several standing wave patterns are sketched in the drawing. Which one is not a possible standing wave pattern for this pipe?

A string, 6.0 meters in length, is fixed at both ends and tightened until the wave speed is 100 m/s. What is the frequency of the standing wave shown in the figure?

For a standing wave formed within an open ended air column, which of the following statements describe the condition at both ends?

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单