Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 16, Problem 13P
To determine

The way, to estimate the temperature of the air in the organ pipe using its resonance frequencies.

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The resonance frequency f of a closed air column is known to depend on the pressure density p of air and the length of air column l. How re these quantities related
Hot chocolate effect. Tap a metal spoon inside amug of water and note the frequency fi you hear. Then add aspoonful of powder (say, chocolate mix or instant coffee) and tapagain as you stir the powder. The frequency you hear has a lowervalue fs because the tiny air bubbles released by the powderchange the water’s bulk modulus. As the bubbles reach the watersurface and disappear, the frequency gradually shifts back to itsinitial value. During the effect, the bubbles don’t appreciablychange the water’s density or volume or the sound’s wavelength. Rather, they change the value of dV/dp—that is, the differentialchange in volume due to the differential change in the pressurecaused by the sound wave in the water. If fs /fi=0.333, what is theratio (dV/dp)s/(dV/dp)i?
An organ pipe is used to produce the lowest note audible to the human ear - 20.-Hz. If the temperature is 25 °C, then how long is the organ pipe? (First decide whether it will produce this low note as a closed- or as an open-end air column.)

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