The above image shows a tube of length L which is closed at one end and open on the other side. Based on our discussions above we saw that sound waves (which are longitudinal waves of air molecules) also form standing waves inside a tube. When standing waves form in a tube as shown above, it can have several patterns: First harmonic is the pattern that has the least number of nodes and anti-nodes possible (1 node and 1 anti-node for the sound tube). Second harmonic is the pattern having the next higher number of nodes and anti-nodes (2 nodes and 2 anti-nodes for the sound tube).

The above image shows a tube of length L which is closed at one end and open on the other side. Based on our discussions above we saw that sound waves (which are longitudinal waves of air molecules) also form standing waves inside a tube. When standing waves form in a tube as shown above, it can have several patterns: First harmonic is the pattern that has the least number of nodes and anti-nodes possible (1 node and 1 anti-node for the sound tube). Second harmonic is the pattern having the next higher number of nodes and anti-nodes (2 nodes and 2 anti-nodes for the sound tube).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).

Question

(ref: Daniel A. Russell, Graduate Program in Acoustics, Pennsylvania State University)
The above image shows a tube of length L which is closed at one end and open on the other side.
Based on our discussions above we saw that sound waves (which are longitudinal waves of air
molecules) also form standing waves inside a tube.
When standing waves form in a tube as shown above, it can have several patterns:
First harmonic is the pattern that has the least number of nodes and anti-nodes possible (1 node and
1 anti-node for the sound tube).
Second harmonic is the pattern having the next higher number of nodes and anti-nodes (2 nodes
and 2 anti-nodes for the sound tube).
Similar patterns carry over for the third, fourth and higher harmonics.
Consider the three different harmonics of a sound wave in the tube (as in the above diagram).
We know that the distance between a consecutive node and anti-node is (where A is the
wavelength of the standing wave) and the velocity of sound is v, .

Which of the following gives the wavelength of the third harmonic of the sound wave as in the
above diagram ?
O A = -4L
4L
4L
O A =
%3D
X = 4L
%3D

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