An open organ pipe resonates with a tuning fork of frequency in its first overtone…
PHYSICS · Subjective · AP · Physics 2: Algebra-based · Waves Sound and Physical Optics · Waves Sound and Physical Optics
Problem
An open organ pipe resonates with a tuning fork of frequency 512Hz in its first overtone (second harmonic) when the room temperature is 27∘C. Take the speed of sound in air to be v=331+0.6T(ms−1), where T is the temperature in ∘C.
(a) Determine the length of the pipe.
(b) The air in the pipe is now warmed to 47∘C. Calculate the new frequency of the fundamental mode of the same pipe.
(c) A second open pipe at 27∘C is required to have the same fundamental frequency as that obtained in part (b). Compute the length of this second pipe.