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A pipe organ may contain tens of thousands of pipes of varying shapes, sizes and materials....

A pipe organ may contain tens of thousands of pipes of varying shapes, sizes and materials.
(a) A pipe destined for an organ is open at both ends and has a length of 1.2 m. What is the wavelength of the longest standing wave that can be produced by this pipe?
(b) The fundamental frequency produced by the pipe is measured to be 150 Hz. Calculate the speed of sound for the air in the pipe.
(c) If one end of this pipe is closed, as shown below, the allowed standing waves change. Indicate in the figure below the locations of the nodes (N) and antinodes (AN) of the fundamental standing wave inside the pipe.
(d) Calculate the fundamental frequency produced by the pipe closed at one end.

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