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QUESTION True or False: The resonant frequency of an 3ll column and the speed of sound. O False. It depends only on the speed of sound. O False. It depends only on the length. O True. There is only one resonance and it depends only on the length and speed of sound. True. There are many resonances, Each depends on length and the speed of sound, but also on whether each end is open or closed. PRACTICE IT Use the worked example above to help you solve this problem. Figure a shows a simple apparatus for demonstrating resonance in a tube. A long tube open at both ends is partially submerged in a beaker of water, and a vibrating tuning fork of unknown frequency is placed near the top of the tube. The length of the air column, L, Is adjusted by moving the tube vertically. The sound waves generated by the fork are reinforced when the length of the air column corresponds to one of the resonant frequencies of the tube. Suppose the smallest value of L for which a peak occurs in the sound intensity is 8.43 cm. Take the speed of sound to be 337 m/s. (a) With this measurement, determine the frequency of the tuning fork. H2

QUESTION True or False: The resonant frequency of an 3ll column and the speed of sound. O False. It depends only on the speed of sound. O False. It depends only on the length. O True. There is only one resonance and it depends only on the length and speed of sound. True. There are many resonances, Each depends on length and the speed of sound, but also on whether each end is open or closed. PRACTICE IT Use the worked example above to help you solve this problem. Figure a shows a simple apparatus for demonstrating resonance in a tube. A long tube open at both ends is partially submerged in a beaker of water, and a vibrating tuning fork of unknown frequency is placed near the top of the tube. The length of the air column, L, Is adjusted by moving the tube vertically. The sound waves generated by the fork are reinforced when the length of the air column corresponds to one of the resonant frequencies of the tube. Suppose the smallest value of L for which a peak occurs in the sound intensity is 8.43 cm. Take the speed of sound to be 337 m/s. (a) With this measurement, determine the frequency of the tuning fork. H2

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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LEARN MORE REMARKS This experimental arrangement is often used to measure the speed of sound, in which case the frequency of the tuning fork must be known in advance. QUESTION True or False: The resonant frequency of an air column depends on the length of the column and the speed of sound. O False. It depends only on the speed of sound. O False. It depends only on the length. O True. There is only one resonance and it depends only on the length and speed of sound. True. There are many resonances. Each depends on length and the speed of sound, but also on whether each end is open or closed. PRACTICE IT Use the worked example above to help you solve this problem. Figure a shows a simple apparatus for demonstrating resonance in a tube. A long tube open at both ends is partially submerged in a beaker of water, and a vibrating tuning fork of unknown frequency is placed near the top of the tube. The length of the air column, L, is adjusted by moving the tube vertically. The sound waves generated by the fork are reinforced when the length of the air column corresponds to one of the resonant frequencies of the tube. Suppose the smallest value of L for which a peak occurs in the sound intensity is 8.43 cm. Take the speed of sound to be 337 m/s. (a) With this measurement, determine the frequency of the tuning fork. H2 (b) Find the wavelength and the next two air-column lengths giving resonance, m m EXERCISE HINTS: GETTING STARTEDI I'M STUCK! An unknown gas is introduced into the aforementioned apparatus using the same tuning fork, and the first resonance occurs when the air column is 5.71 cm long. Find the speed of sound in the gas. sound m/s Need Help? Read It E E E
Transcribed Image Text:LEARN MORE REMARKS This experimental arrangement is often used to measure the speed of sound, in which case the frequency of the tuning fork must be known in advance. QUESTION True or False: The resonant frequency of an air column depends on the length of the column and the speed of sound. O False. It depends only on the speed of sound. O False. It depends only on the length. O True. There is only one resonance and it depends only on the length and speed of sound. True. There are many resonances. Each depends on length and the speed of sound, but also on whether each end is open or closed. PRACTICE IT Use the worked example above to help you solve this problem. Figure a shows a simple apparatus for demonstrating resonance in a tube. A long tube open at both ends is partially submerged in a beaker of water, and a vibrating tuning fork of unknown frequency is placed near the top of the tube. The length of the air column, L, is adjusted by moving the tube vertically. The sound waves generated by the fork are reinforced when the length of the air column corresponds to one of the resonant frequencies of the tube. Suppose the smallest value of L for which a peak occurs in the sound intensity is 8.43 cm. Take the speed of sound to be 337 m/s. (a) With this measurement, determine the frequency of the tuning fork. H2 (b) Find the wavelength and the next two air-column lengths giving resonance, m m EXERCISE HINTS: GETTING STARTEDI I'M STUCK! An unknown gas is introduced into the aforementioned apparatus using the same tuning fork, and the first resonance occurs when the air column is 5.71 cm long. Find the speed of sound in the gas. sound m/s Need Help? Read It E E E
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