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You have two air columns that are each 2.130 m long. One column is open at both

ID: 1560552 • Letter: Y

Question

You have two air columns that are each 2.130 m long. One column is open at both ends and the other is closed at one end. You wish to determine the frequencies you can produce in the audible range (20 Hz–20,000 Hz) on a day when the temperature of the air is at 18.00°C. (Give your answers to at least four significant figures. Assume that the speed of sound at 0° C is exactly 331 m/s.)

(a) in the column that is open at both ends

lowest frequency

second lowest frequency

highest frequency    

(b) in the column that is closed at one end

highest frequency    

(b) in the column that is closed at one end

lowest frequency     second lowest frequency     highest frequency    

Explanation / Answer

open pile

f1 = v/2l = 331/2*2.13 = 77.69 Hz

f2 = 2f1 = 155.38 Hz

in a closed pipe

f1 = v/4l = 38.845 Hz

f3 = 3v/4l = 116.535 Hz

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