1 ) (a) What should be the length of an organ pipe, open at both ends, if the fu
ID: 2010352 • Letter: 1
Question
1 ) (a) What should be the length of an organ pipe, open at both ends, if the fundamental frequency is to be 256.5 Hz? unit in m(b) What is the fundamental frequency of this organ pipe if the temperature drops to 0.0° C? unit in HZ
2 ) A certain pipe has resonant frequencies of 434 Hz, 558 Hz, and 682 Hz, with no other resonant frequencies between these values.
(b) What is the fundamental frequency of this pipe? unit in HZ
c ) (c) How long is this pipe? unit in m
3 ) An ambulance traveling at 47 m/s approaches a car heading in the same direction at a speed of 33 m/s. The ambulance driver has a siren sounding at 560 Hz. At what frequency does the driver of the car hear the siren? (Assume a temperature of 20° C.)
Explanation / Answer
1. (a) Fundamental frequency of the organ pipe is f = 256.5 Hz Fundamental frequency f = v / 2L L = v / 2f = 343 m/s / 2*256.5Hz = 0.668 m (b) if the temperature drops to 0.0oC ,then the speed of the sound in organ pipe is v = 331 m/s Then the frequency is f = 331 m/s / 2*0.668m = 247.75 HzRelated Questions
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