An oboe and a double bass are playing the same note, a ‘G’ at 392 Hz. The speed of sound in air is 343 m s−1 and the speed of propagation of a wave on the string of the double bass is 500 m s−1. The oboe can be modeled as a pipe, open at one end, and the bass as a string fixed at both ends. What are the lengths of the bass string and the oboe cavity if the note being produced is a result of the fundamental mode in each case?

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An oboe and a double bass are playing the same note, a ‘G’ at 392 Hz. The speed of sound in air is 343 m s−1 and the speed of propagation of a wave on the string of the double bass is 500 m s−1. The oboe can be modeled as a pipe, open at one end, and the bass as a string fixed at both ends. What are the lengths of the bass string and the oboe cavity if the note being produced is a result of the fundamental mode in each case?

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