You are studying standing sound waves in an organ pipe of length L with both end

Question

You are studying standing sound waves in an organ pipe of length L with both ends open.

a) What wavelengths of sound can exist as standing waves in this pipe? Express your answer in terms of the length L.

b) Assume that the length of the organ pipe is L=24 cm. You have excited a standing sound wave in the tube, and you observe that it has displacement nodes at 4 cm, 12 cm, and 20 cm measured from one end of the pipe. In which harmonic, n, is the air in the pipe oscillating?

c) What is the frequency of the musical tone produced by the organ pipe in the situation diescribed in part b)?

Explanation / Answer

Wavelengths resonated by pipes of length L: Both ends open: integer divisors of 2 * the pipe length (2L/1, 2L/2, etc); One end open: odd-integer divisors of 4 * the pipe length 4L/1, 4L/3, etc.). It's the frequencies that multiply by integers or odd integers.

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