A hollow tube of length L = 66.0 cm, open at both ends as shown above,...

A hollow tube of length L = 66.0 cm, open at both ends as shown above, is held in midair. A tuning fork with a frequency f = 256 Hz vibrates at one end of the tube and causes the air in the tube to vibrate at its fundamental frequency. Do not assume a value for the speed of sound in air. Give all of your answers to three significant digits.

The same tube is submerged in a large, graduated cylinder filled with water. The tube is slowly raised out of the water and the same tuning fork, vibrating with frequency f = 256 Hz, is held a fixed distance from the top of the tube. (The water essentially makes the tube closed on one end.)

Determine the height h of the tube above the water when the air column resonates for the first time. Draw a picture of the standing wave in the tube that supports your work.
Using the same tuning fork, you pull the tube out of the water, looking for the next length at which you will hear resonance. What length is this? Can you get there with this tube? Explain.
Is the open end of the tube the location of a pressure node, or a pressure antinode? Explain why. (Make sure your explanation includes information about how the air molecules do or do not move.)
In order to get a standing wave, two waves have to interfere. What are the two waves that are interfering to create the standing waves in this situation?

Expert Solution

genius_generous answered 2 years ago

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