A loudspeaker is driven by an audio oscillator and amplifier, and is adjustable from 1 to 2 [kHz]. It is placed next to a stopped pipe of length 68.8 [cm]. Both of them remain stationary. The speed of sound in air is 344 [m/s]. (a) When I increase the frequency from 1000 [Hz], at what frequency do I first hear resonance? (b) Plot the displacement normal mode of this frequency. (c) Mark the points at which a listener cannot hear anything in this normal mode. (d) What are all the possible resonant frequencies generated by this oscillator?

Principles of Physics: A Calculus-Based Text
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Chapter14: Superposition And Standing Waves
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A loudspeaker is driven by an audio oscillator and amplifier, and is adjustable from 1 to 2 [kHz]. It
is placed next to a stopped pipe of length 68.8 [cm]. Both of them remain stationary. The speed of
sound in air is 344 [m/s].
(a) When I increase the frequency from 1000 [Hz], at what frequency do I first hear resonance?
(b) Plot the displacement normal mode of this frequency.
(c) Mark the points at which a listener cannot hear anything in this normal mode.
(d) What are all the possible resonant frequencies generated by this oscillator?
Transcribed Image Text:A loudspeaker is driven by an audio oscillator and amplifier, and is adjustable from 1 to 2 [kHz]. It is placed next to a stopped pipe of length 68.8 [cm]. Both of them remain stationary. The speed of sound in air is 344 [m/s]. (a) When I increase the frequency from 1000 [Hz], at what frequency do I first hear resonance? (b) Plot the displacement normal mode of this frequency. (c) Mark the points at which a listener cannot hear anything in this normal mode. (d) What are all the possible resonant frequencies generated by this oscillator?
Expert Solution
Step 1: Given data

The length of the pipe closed at one end, L=68.8cm

The speed of sound in air, v=344 m/s

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