Which of the following statements are TRUE of the harmonics and standing wave patterns in air columns? Identify all that apply. The speed of the waves for the various harmonics of open-end air columns are whole number multiples of the speed of the wave for the fundamental frequency. Longer air columns will produce lower frequencies. The pitch of a sound can be increased by shortening the length of the air resonating inside of an air column. An open end of an air column allows air to vibrate a maximum amount whereas a closed end forces air particles to behave as nodes. Open-end air columns have antinodes positioned at each end while closed-end air columns have nodes positioned at each end. Closed-end air columns can only produce odd-numbered harmonics. Open-end air columns can only produce even-numbered harmonics. A closed-end air column that can play a fundamental frequency of 250 Hz cannot play 500 Hz. An open-end air column that can play a fundamental frequency of 250 Hz cannot play 750 Hz. A closed-end air column has a length of 20 cm. The wavelength of the first harmonic is 5 cm. An open-end air column has a length of 20 cm. The wavelength of the first harmonic is 10 cm. Air column A is a closed-end air column. Air column B is an open-end air column. Air column A would be capable of playing lower pitches than air column B. The speed of sound in air is 340 m/s. An open-end air column has a length of 40 cm. The fundamental frequency of this air column is approximately 213 Hz. The speed of sound in air is 340 m/s. A closed-end air column has a length of 40 cm. The fundamental frequency of this air column is approximately 213 Hz. If an open-end air column has a fundamental frequency of 250 Hz, then the frequency of the fourth harmonic is 1000 Hz. If a closed-end air column has a fundamental frequency of 200 Hz, then the frequency of the fourth harmonic is 800 Hz.

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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Which of the following statements are TRUE of the harmonics and standing wave patterns in air columns? Identify all that apply.

The speed of the waves for the various harmonics of open-end air columns are whole number multiples of the speed of the wave for the fundamental frequency.
Longer air columns will produce lower frequencies.
The pitch of a sound can be increased by shortening the length of the air resonating inside of an air column.
An open end of an air column allows air to vibrate a maximum amount whereas a closed end forces air particles to behave as nodes.
Open-end air columns have antinodes positioned at each end while closed-end air columns have nodes positioned at each end.
Closed-end air columns can only produce odd-numbered harmonics.
Open-end air columns can only produce even-numbered harmonics.
A closed-end air column that can play a fundamental frequency of 250 Hz cannot play 500 Hz.
An open-end air column that can play a fundamental frequency of 250 Hz cannot play 750 Hz.
A closed-end air column has a length of 20 cm. The wavelength of the first harmonic is 5 cm.
An open-end air column has a length of 20 cm. The wavelength of the first harmonic is 10 cm.
Air column A is a closed-end air column. Air column B is an open-end air column. Air column A would be capable of playing lower pitches than air column B.
The speed of sound in air is 340 m/s. An open-end air column has a length of 40 cm. The fundamental frequency of this air column is approximately 213 Hz.
The speed of sound in air is 340 m/s. A closed-end air column has a length of 40 cm. The fundamental frequency of this air column is approximately 213 Hz.
If an open-end air column has a fundamental frequency of 250 Hz, then the frequency of the fourth harmonic is 1000 Hz.
If a closed-end air column has a fundamental frequency of 200 Hz, then the frequency of the fourth harmonic is 800 Hz.

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