Standing Waves Under Boundary Conditions

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Homework Statement


See the figure below. A thin pipe, open
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at both ends, with length 0.400 m and 1.0 cm diameter is placed vertically in a cylindrical bucket so that it nearly touches the flat bottom of the bucket, which has an area of 0.100 m2 . The air temperature is 22o C. Water is slowly poured into the bucket until a sounding tuning fork of frequency 440 Hz, held over the pipe, produces resonance. Find the volume of the water in the bucket at this moment. (Assume the same water level in the pipe and in the bucket, as shown in the diagram.)
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Homework Equations

The Attempt at a Solution


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