K 2. Resonances in a Tube A student is given a tube of unknown length and cannot tell whether the ends of the tube are open or closed. Given a tunable sound generator the student measures the frequencies of the two lowest resonances in the tube to be 235 Hz and 587 Hz. a. Explain why this student must be mistaken in the measurement. b. Is it possible that the student measured the lowest frequency correctly and simply missed some resonances between the two given above? If so, what would those missed frequencies be and what conclusion about end conditions can you reach? If not, why not?

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Chapter17: Physics Of Hearing
Section: Chapter Questions
Problem 53PE: (a) Students in a physics lab are asked to find the length of an air column in a tube closed at one...
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K 2. Resonances in a Tube
A student is given a tube of unknown length and cannot tell whether the ends of the tube are open or
closed. Given a tunable sound generator the student measures the frequencies of the two lowest
resonances in the tube to be 235 Hz and 587 Hz.
a. Explain why this student must be mistaken in the measurement.
b. Is it possible that the student measured the lowest frequency correctly and simply missed some
resonances between the two given above? If so, what would those missed frequencies be and
what conclusion about end conditions can you reach? If not, why not?
Transcribed Image Text:K 2. Resonances in a Tube A student is given a tube of unknown length and cannot tell whether the ends of the tube are open or closed. Given a tunable sound generator the student measures the frequencies of the two lowest resonances in the tube to be 235 Hz and 587 Hz. a. Explain why this student must be mistaken in the measurement. b. Is it possible that the student measured the lowest frequency correctly and simply missed some resonances between the two given above? If so, what would those missed frequencies be and what conclusion about end conditions can you reach? If not, why not?
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