A hollow tube of length (, open at both ends as shown above, is held in midair. A tuning fork with a frequency fo vibrates at one end of the tube and causes the air in the tube to vibrate at its fundamental frequency. Express your answers in terms of ( and fo. 6. (a) Determine the wavelength of the sound. (b) Determine the speed of sound in the air inside the tube. (c) Determine the next higher frequency at which this air column would resonate.

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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**Question 6: Sound Waves in an Open Tube**

*Scenario:*  
A hollow tube of length \( \ell \), open at both ends as shown, is held in midair. A tuning fork with a frequency \( f_0 \) vibrates at one end of the tube and causes the air in the tube to vibrate at its fundamental frequency. Express your answers in terms of \( \ell \) and \( f_0 \).

**Diagram Explanation:**  
The diagram shows a vertical hollow tube, open at both ends. The length of the tube is denoted by \( \ell \). A tuning fork is positioned near one end of the tube.

**Questions:**

(a) Determine the wavelength of the sound.

(b) Determine the speed of sound in the air inside the tube.

(c) Determine the next higher frequency at which this air column would resonate.
Transcribed Image Text:**Question 6: Sound Waves in an Open Tube** *Scenario:* A hollow tube of length \( \ell \), open at both ends as shown, is held in midair. A tuning fork with a frequency \( f_0 \) vibrates at one end of the tube and causes the air in the tube to vibrate at its fundamental frequency. Express your answers in terms of \( \ell \) and \( f_0 \). **Diagram Explanation:** The diagram shows a vertical hollow tube, open at both ends. The length of the tube is denoted by \( \ell \). A tuning fork is positioned near one end of the tube. **Questions:** (a) Determine the wavelength of the sound. (b) Determine the speed of sound in the air inside the tube. (c) Determine the next higher frequency at which this air column would resonate.
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