The fundamental frequency of a glass tube is measured to be f when the tube is capped at one end, but open at the other end. What is the fundamental frequency of the tube when the end cap is removed and both ends are open?A.f/4B.f/2C.fD.2fSubmit
Question
The fundamental frequency of a glass tube is measured to be f when the tube is capped at one end, but open at the other end. What is the fundamental frequency of the tube when the end cap is removed and both ends are open?A.f/4B.f/2C.fD.2fSubmit
Solution
The fundamental frequency of a tube open at both ends is twice that of a tube open at one end and closed at the other. This is because when a tube is open at both ends, it forms a standing wave with nodes at both ends, allowing for a full wavelength to fit within the tube. On the other hand, when a tube is closed at one end, it forms a standing wave with a node at the closed end and an antinode at the open end, allowing for only half a wavelength to fit within the tube. Therefore, the correct answer is D. 2f.
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