Concept explainers
A flute has a length of 58.0 cm. If the speed of sound in air is 343 m/s, what is the fundamental frequency of the flute, assuming it is a tube closed at one end and open at the other? (a) 148 Hz (b) 296 Hz (c) 444 Hz (d) 591 Hz (e) none of those answers
The fundamental frequency of the flute
Answer to Problem 1OQ
Option (C)
Explanation of Solution
The flute being a cube closed one end and open at the other end exhibits a standing wave pattern. The closed end of the flute will have a node and the open end of the flute will have an antinode.
Write the equation for the fundamental frequency of the flute using harmonic series.
Here,
Write the equation for the wavelength of the sound waves corresponding to its fundamental frequency.
Here,
Substitute equation (I) in equation (II).
Conclusion:
Substitute
Thus, the flute has a fundamental frequency of
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Chapter 14 Solutions
Principles of Physics: A Calculus-Based Text
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