Why it is only possible to produce the odd harmonics in a system with one open end and one closed end? Drawing pictures will help you answer this question. A node must exist at one end of the system, and an antinode at the other. Thus, when forming the second resonance, one must divide the wavelength by three in order for the next antinode to line up with the closed end of the system, while keeping a node at the open end of the system. This pattern continues as one increases the frequency, such that only odd fractions (1/3, 1/5, 1/7, etc.) of the wavelength can exist. A node must exist at one end of the system, and an antinode at the other. Thus, when forming the second resonance, one must divide the wavelength by three in order for the next antinode to line up with the open end of the system, while keeping a node at the closed end of the system. This pattern continues as one increases the frequency, such that only odd fractions (1/3, 1/5, 1/7, etc.) of the wavelength can exist. A node must exist at one end of the system, and an antinode at the other. Thus, when forming the second resonance, one must multiply the wavelength by three in order for the next antinode to line up with the open end of the system, while keeping a node at the closed end of the system. This pattern continues as one increases the frequency, such that only odd multiples (3, 5, 7, etc.) of the wavelength can exist. O A node must exist at one end of the system, and an antinode at the other. Thus, when forming the second resonance, one must multiply the wavelength by three in order for the next antinode to line up with the closed end of the system, while keeping a node at the open end of the system. This pattern continues as one increases the frequency, such that only odd multiples (3, 5, 7, etc.) of the wavelength can exist.
Why it is only possible to produce the odd harmonics in a system with one open end and one closed end? Drawing pictures will help you answer this question. A node must exist at one end of the system, and an antinode at the other. Thus, when forming the second resonance, one must divide the wavelength by three in order for the next antinode to line up with the closed end of the system, while keeping a node at the open end of the system. This pattern continues as one increases the frequency, such that only odd fractions (1/3, 1/5, 1/7, etc.) of the wavelength can exist. A node must exist at one end of the system, and an antinode at the other. Thus, when forming the second resonance, one must divide the wavelength by three in order for the next antinode to line up with the open end of the system, while keeping a node at the closed end of the system. This pattern continues as one increases the frequency, such that only odd fractions (1/3, 1/5, 1/7, etc.) of the wavelength can exist. A node must exist at one end of the system, and an antinode at the other. Thus, when forming the second resonance, one must multiply the wavelength by three in order for the next antinode to line up with the open end of the system, while keeping a node at the closed end of the system. This pattern continues as one increases the frequency, such that only odd multiples (3, 5, 7, etc.) of the wavelength can exist. O A node must exist at one end of the system, and an antinode at the other. Thus, when forming the second resonance, one must multiply the wavelength by three in order for the next antinode to line up with the closed end of the system, while keeping a node at the open end of the system. This pattern continues as one increases the frequency, such that only odd multiples (3, 5, 7, etc.) of the wavelength can exist.
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)...
Related questions
Concept explainers
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
Topic Video
Question
Transcribed Image Text:"Open-Closed" Resonator:
Pipe with one open and one closed end
* Only the odd harmonics can be produced
Xxx
Harmonic
Number:
n=1
n=3
n = 5
n = 7
Number of
visible nodes:
1
2
3
4
Harmonic
Frequency:
f = fo
f = 3*fo
f = 5*fo
f = 7*fo
Transcribed Image Text:Why it is only possible to produce the odd harmonics in a system with one open end and one closed end? Drawing pictures will help you answer this question.
A node must exist at one end of the system, and an antinode at the other. Thus, when forming the second resonance, one must divide the wavelength by three in order for
the next antinode to line up with the closed end of the system, while keeping a node at the open end of the system. This pattern continues as one increases the frequency,
such that only odd fractions (1/3, 1/5, 1/7, etc.) of the wavelength can exist.
A node must exist at one end of the system, and an antinode at the other. Thus, when forming the second resonance, one must divide the wavelength by three in order for
the next antinode to line up with the open end of the system, while keeping a node at the closed end of the system. This pattern continues as one increases the frequency,
such that only odd fractions (1/3, 1/5, 1/7, etc.) of the wavelength can exist.
A node must exist at one end of the system, and an antinode at the other. Thus, when forming the second resonance, one must multiply the wavelength by three in order
for the next antinode to line up with the open end of the system, while keeping a node at the closed end of the system. This pattern continues as one increases the
frequency, such that only odd multiples (3, 5, 7, etc.) of the wavelength can exist.
A node must exist at one end of the system, and an antinode at the other. Thus, when forming the second resonance, one must multiply the wavelength by three in order
for the next antinode to line up with the closed end of the system, while keeping a node at the open end of the system. This pattern continues as one increases the
frequency, such that only odd multiples (3, 5, 7, etc.) of the wavelength can exist.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON