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1. A group of curious 9B students are listening to sound generated by standing waves in a tube of air. However, they cannot see the tube itself, so they don't know if both ends of the tube are open or if only one end of the tube is open (and the other closed). They observe a standing wave in which the distance from node to adjacent anti-node is 0.6 m. The frequency is increased until the next harmonic is reached. The new distance from node to adjacent anti-node is 0.4 m, and the frequency increased by 1000 Hz. a) Are both ends of the tube open or only one end? b) Determine which harmonics are being played and determine the length of the tube. c) Now consider a different tube with end conditions different than what you determined in part a. (For example, if you determined both ends were open in part a, then this new tube has one open end and one closed end). What should the length of this tube be such that its fundamental frequency is the same as the tube you considered in parts a and b?

1. A group of curious 9B students are listening to sound generated by standing waves in a tube of air. However, they cannot see the tube itself, so they don't know if both ends of the tube are open or if only one end of the tube is open (and the other closed). They observe a standing wave in which the distance from node to adjacent anti-node is 0.6 m. The frequency is increased until the next harmonic is reached. The new distance from node to adjacent anti-node is 0.4 m, and the frequency increased by 1000 Hz. a) Are both ends of the tube open or only one end? b) Determine which harmonics are being played and determine the length of the tube. c) Now consider a different tube with end conditions different than what you determined in part a. (For example, if you determined both ends were open in part a, then this new tube has one open end and one closed end). What should the length of this tube be such that its fundamental frequency is the same as the tube you considered in parts a and b?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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1. A group of curious 9B students are listening to sound generated by standing waves in a tube of air. However, they cannot see the tube itself, so they don't know if both ends of the tube are open or if only one end of the tube is open (and the other closed). They observe a standing wave in which the distance from node to adjacent anti-node is 0.6 m. The frequency is increased until the next harmonic is reached. The new distance from node to adjacent anti-node is 0.4 m, and the frequency increased by 1000 Hz. a) Are both ends of the tube open or only one end? b) Determine which harmonics are being played and determine the length of the tube. c) Now consider a different tube with end conditions different than what you determined in part a. (For example, if you determined both ends were open in part a, then this new tube has one open end and one closed end). What should the length of this tube be such that its fundamental frequency is the same as the tube you considered in parts a and b?
Transcribed Image Text:1. A group of curious 9B students are listening to sound generated by standing waves in a tube of air. However, they cannot see the tube itself, so they don't know if both ends of the tube are open or if only one end of the tube is open (and the other closed). They observe a standing wave in which the distance from node to adjacent anti-node is 0.6 m. The frequency is increased until the next harmonic is reached. The new distance from node to adjacent anti-node is 0.4 m, and the frequency increased by 1000 Hz. a) Are both ends of the tube open or only one end? b) Determine which harmonics are being played and determine the length of the tube. c) Now consider a different tube with end conditions different than what you determined in part a. (For example, if you determined both ends were open in part a, then this new tube has one open end and one closed end). What should the length of this tube be such that its fundamental frequency is the same as the tube you considered in parts a and b?
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