A group of students are using resonance to determine the temperature of the air in their laboratory. They use a tunning fork producing a 256 Hz tone. The fork is placed near the opening of a tube filled with water. The water is slowly let out until a resonant mode is heard. (a) Calculate the air temperature if the height of the water level is 33.6 cm at first resonance. (b) Find the height of the water level when the first overtone is heard.

A group of students are using resonance to determine the temperature of the air in their laboratory. They use a tunning fork producing a 256 Hz tone. The fork is placed near the opening of a tube filled with water. The water is slowly let out until a resonant mode is heard. (a) Calculate the air temperature if the height of the water level is 33.6 cm at first resonance. (b) Find the height of the water level when the first overtone is heard.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter18: Superposition And Standing Waves

Section: Chapter Questions

Problem 50PQ

See similar textbooks

Similar questions

A pipe is observed to have a fundamental frequency of 345 Hz. Assume the pipe is filled with air (v = 343 m/s). What is the length of the pipe if the pipe is a. closed at one end and b. open at both ends?
Some studies suggest that the upper frequency limit of hearing is determined by the diameter of the eardrum. The wavelength of the sound wave and the diameter of the eardrum are approximately equal at this upper limit. If the relationship holds exactly, what is the diameter of the eardrum of a person capable of hearing 20 000 Hz? (Assume a body temperature of 37.0C.)
At t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are in meters. If the pulse is traveling in the positive x direction with a speed of 4.50 m/s, write the function y(x, t) that describes this pulse.
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
What is the length of a pipe that is open on both ends and has a fundamental frequency of 400 Hz? You may assume the speed of sound in air is 341 m/s.
A soprano and a bass are singing a duet. While the soprano sings an A-sharp at 932 Hz, the bass sings an A-sharp but three octaves lower. In this concert hall, the density of air is 1.20 kg/m3 and its bulk modulus is 1.42 × 105 Pa. In order for their notes to have the same sound intensity level, what must be (a) the ratio of the pressure amplitude of the bass to that of the soprano and(b) the ratio of the displacement amplitude of the bass to that of the soprano?(c) What displacement amplitude (in m and in nm) does the soprano produce to sing her A-sharp at 72.0 dB?
Two pure tone waves, both with a frequency of 1 kHz, are moving in opposite directions in air along a line through the same space. The first has a Sound Pressure Level of 90 dB re 20 uPa, and the other has exactly half the amplitude of the first. How far apart would these two locations be along the line?
How long would an instrument which is open at one end have to be in order to hear the fifth harmonic at 4000 Hz on an open tube? Assume the speed of sound is 340 m/s.
A tube that is open at both ends supports a standing wave with harmonics at 300 Hz and 400 Hz, with no harmonics between. What is the fundamentalfrequency of this tube?A. 50 Hz B. 100 Hz C. 150 Hz D. 200 Hz E. 300 Hz
A pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 330 m/s. What is the fundamental frequency of this pipe when the speed of sound in air is increased to 361.7 m/s due to a rise in the temperature of the air?
A musical recorder acts as an open-end air column, with a vibrational antinode located at the hole near the mouthpiece (known as the windway hole) and a vibrational antinode located at the nearest open tone hole. Blowing gently on the mouthpiece will force the air column to vibrate at its fundamental frequency. Assuming a speed of sound of 345 m/s, what length of air would be required to cause the recorder to sound out at 1050 Hz?
The range of human hearing is roughly from 20 Hz to 20 kHz. Based on these limits and a value of 343 m/s for the speed of sound, what are the lengths of the longest and shortest pipes (open at both ends and producing sound at their fundamental frequencies) that you expect to find in a pipe organ?