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A 2.39-m long organ pipe acts as a closed-end resonator that produces several different harmonic frequencies...

A 2.39-m long organ pipe acts as a closed-end resonator that produces several different harmonic frequencies in the audible range from 20 Hz to 20,000 Hz. Assuming the speed of sound is 343 m/s, determine the 5th highest frequency that the pipe can produce.
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Answer #1

pen-ended pipes resonate approximately at frequencies

fn = n vs / 4L

where

  • vs is the velocity of sound in air,
  • L is the length of the pipe, and
  • n is a positive integer indicating the harmonic.
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