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)...
icon
Related questions
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, .
Transcribed Image Text:(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, .
If the relation between velocity and wavelength is v = fAwhere f is the frequency,
what is the frequency of the second harmonic?
Of:
4L
3v
Of:
4L
Of=
%3D
4L
O f
2L
Transcribed Image Text:If the relation between velocity and wavelength is v = fAwhere f is the frequency, what is the frequency of the second harmonic? Of: 4L 3v Of: 4L Of= %3D 4L O f 2L
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Equation of waves
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON