A tube 1.20 m long is closed at one end. A stretched wire is placed near the open end. The wire is 0.330 m long and has a mass of 9.60 g. It is fixed at both ends and oscillates in its fundamental mode. By resonance, it sets the air column in the tube into oscillation at that column’s fundamental frequency. Find (a) that frequency and (b) the tension in the wire.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter18: Superposition And Standing Waves
Section: Chapter Questions
Problem 75PQ
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A tube 1.20 m long is closed at one end. A stretched wire
is placed near the open end. The wire is 0.330 m long and has a
mass of 9.60 g. It is fixed at both ends and oscillates in its fundamental
mode. By resonance, it sets the air column in the tube into
oscillation at that column’s fundamental frequency. Find (a) that
frequency and (b) the tension in the wire.

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