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A pipe organ with resonance tubes open at both ends is designed to play a frequency of 1024 Hz. If the temperature in the hall is 24 C, how long

A pipe organ with resonance tubes open at both ends is designed to play a frequency of 1024 Hz. If the temperature in the hall is 24 °C, how long should that particular pipe be?


I got 0.17m. First, I calculated the speed of sound and got 345.16 m/s. Then I calculated the wavelength and got 0.337m. I didn't have trouble with these parts, but I am confused as to how I should calculate the length. I know you would use resonance formulas. Should I use the fundamental frequency for open tubes (1/2 x wavelength = length of tube). Or, should I use a different resonance formula, for instance, 3/2 x wavelength = length of tube, since the frequency is 1024 Hz? Please let me know your solution. Thanks!

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