Explanation 1) Concept: By using the formula for resonant frequency f for the pipe in which one end is open and other is closed, and for the pipe in which both ends are open, we can find the corresponding frequencies in each pipe. Comparing these frequencies with the frequency of the string, we can find the pipe in which cause resonance by the sound produced by the string and the oscillation mode that the resonating sound will set up. 2) Formula: i) The resonant frequency f for the pipe in which one end is open and other is closed is f = n v 4 L Where, n = 1,3 , 5 , … . ii) The resonant frequency f for the pipe in which both ends are open is f = n v 2 L Where, n = 1,2 , 3 , … 3) Given: i) The length of the pipe a is L ii) The length of the pipe b is 2 L . iii) The length of the pipe c is L 2 iv) The length of the pipe d is L 2 v) The speed of wave on the string equals to the speed of sound. vi) The fundamental mode n = 1 of oscillation is set up on the string. 4) Calculations: We know that the resonant frequency f for the pipe in which one end is open and other is closed is given by, f = v λ Where v is the speed of sound and λ is the wavelength λ = 4 L n Where L is the length of the pipe and n = 1,3 , 5 , … . For fundamental mode n = 1 Therefore, the resonant frequency is given by f = v 4 L Also, we know that the resonant frequency f for pipe in which both ends are open is given by f = v λ Where v is the speed of sound and λ is the wavelength λ = 2 L n Where L is the length of the pipe and n = 1,2 , 3 , … . For fundamental mode n = 1 Therefore, the resonant frequency is given by f = v 2 L Let, f a , f b , f c and f d be the frequencies in pipe a, b, c and d respectively

Fundamentals of Physics, Volume 1, Chapter 1-20

10th Edition

ISBN: 9781118233764

Author: David Halliday

Publisher: WILEY

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Equation of Waves

Wave is an oscillation or disturbance traveling in a medium. It performs the transportation of energy but does not carry any matter. This motion of waves will transport fuel in a medium without permanent transfer of mass (particle).

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Chapter 17, Problem 10Q

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In which pipe will the sound produced by the string cause resonance and the type of oscillation mode that the resonating sound will set up.

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Chapter 17 Solutions

Fundamentals of Physics, Volume 1, Chapter 1-20

Ch. 17 - In a first experiment, a sinusoidal sound wave is...Ch. 17 - In Fig. 17-25, two point sources S1, and S2, which...Ch. 17 - In Fig. 17-26, three long tubes A,B, and C are...Ch. 17 - Prob. 4Q Ch. 17 - In Fig. 17-27, pipe A is made to oscillate in its...Ch. 17 - Prob. 6Q Ch. 17 - Figure 17-28 shows a moving sound source S that...Ch. 17 - Prob. 8Q Ch. 17 - For a particular tube, here are four of the six...Ch. 17 - Prob. 10Q

Ch. 17 - You are given four tuning forks. The fork with the...Ch. 17 - Two spectators at a soccer game see, and a moment...Ch. 17 - What is the bulk modulus of oxygen if 32.0 g of...Ch. 17 - Prob. 3P Ch. 17 - A column of soldiers, marching at 120 paces per...Ch. 17 - Prob. 5P Ch. 17 - A man strikes one end of a thin rod with a hammer....Ch. 17 - SSM WWW A stone is dropped into a well. The splash...Ch. 17 - GO Hot chocolate effect. Tap a metal spoon inside...Ch. 17 - If the form of a sound wave traveling through air...Ch. 17 - Prob. 10P Ch. 17 - SSM Diagnostic ultrasound of frequency 4.50 MHz is...Ch. 17 - The pressure in a traveling sound wave is given by...Ch. 17 - A sound wave of the form s = sm coskx t travels...Ch. 17 - Figure 17-32 shows the output from a pressure...Ch. 17 - GO A handclap on stage in an amphitheater sends...Ch. 17 - Two sound waves, from two different sources with...Ch. 17 - Prob. 17P Ch. 17 - Prob. 18P Ch. 17 - GO Figure 17-35 shows two isotropic point sources...Ch. 17 - Figure 17-36 shows four isotropic point sources of...Ch. 17 - SSM In Fig. 17-37, two speakers separated by...Ch. 17 - In Fig. 17-38, sound with a 40.0 cm wavelength...Ch. 17 - GO Figure 17-39 shows two point sources S1 and S2...Ch. 17 - Suppose that the sound level of a conversation is...Ch. 17 - A sound wave of frequency 300Hz has an intensity...Ch. 17 - Prob. 26P Ch. 17 - SSM WWW A certain sound source is increased in...Ch. 17 - Two sounds differ in sound level by 1.00 dB. 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As the number of people at a party...Ch. 17 - Prob. 37P Ch. 17 - The water level in a vertical glass tube 1.00 m...Ch. 17 - Prob. 39P Ch. 17 - Organ pipe A, with both ends open, has a...Ch. 17 - A violin siring 15.0 cm long and fixed at both...Ch. 17 - A sound wave in a fluid medium is reflected at a...Ch. 17 - SSM In Fig. 17-41, S is a small loudspeaker driven...Ch. 17 - The crest of a Parasaurolophus dinosaur skull is...Ch. 17 - In pipe A, the ratio of a particular harmonic...Ch. 17 - GO Pipe A. which is 1.20 m long and open at both...Ch. 17 - A well with vertical sides and water at the bottom...Ch. 17 - One of the harmonic frequencies of tube A with two...Ch. 17 - SSM A violin string 30.0 cm long with linear...Ch. 17 - Prob. 50P Ch. 17 - The A string of a violin is a little too tightly...Ch. 17 - A tuning fork of unknown frequency makes 3.00...Ch. 17 - SSM Two identical piano wires have a fundamental...Ch. 17 - You have five tuning forks that oscillate at close...Ch. 17 - Prob. 55P Ch. 17 - An ambulance with a siren emitting a whine at 1600...Ch. 17 - A state trooper chases a speeder along a straight...Ch. 17 - Prob. 58P Ch. 17 - GO In Fig. 17-42, a French submarine and a U.S....Ch. 17 - A stationary motion detector sends sound waves of...Ch. 17 - GO A bat is flitting about in a cave, navigating...Ch. 17 - Figure 17-43 shows four tubes with lengths 1.0 m...Ch. 17 - ILWAn acoustic burglar alarm consists of a source...Ch. 17 - A stationary detector measures the frequency of a...Ch. 17 - GO A 2000 Hz siren and a civil defense official...Ch. 17 - GO Two trains are traveling toward each other at...Ch. 17 - SSM WWWA girl is sitting near the open window of a...Ch. 17 - Prob. 68P Ch. 17 - SSMA jet plane passes over you at a height of 5000...Ch. 17 - A plane flies at 1.25 times the speed of sound....Ch. 17 - At a distance of 10 km, a 100 Hz horn, assumed to...Ch. 17 - A bullet is fired with a speed of 685 m/s. Find...Ch. 17 - Prob. 73P Ch. 17 - The average density of Earths crust 10 km beneath...Ch. 17 - A certain loudspeaker system emits sound...Ch. 17 - Find the ratios greater to smaller of the a...Ch. 17 - Prob. 77P Ch. 17 - A trumpet player on a moving railroad flatcar...Ch. 17 - GO In Fig. 17-46, sound of wavelength 0.850 m is...Ch. 17 - GO A detector initially moves at constant velocity...Ch. 17 - SSMa If two sound waves, one in air and one in...Ch. 17 - A continuous sinusoidal longitudinal wave is sent...Ch. 17 - SSMUltrasound, which consists of sound waves with...Ch. 17 - The speed of sound in a certain metal is vm. One...Ch. 17 - An avalanche of sand along some rare desert sand...Ch. 17 - A sound source moves along an x axis, between...Ch. 17 - SSMA siren emitting a sound of frequency 1000 Hz...Ch. 17 - Prob. 88P Ch. 17 - Prob. 89P Ch. 17 - Prob. 90P Ch. 17 - Prob. 91P Ch. 17 - You can estimate your distance from a lightning...Ch. 17 - SSMFigure 17-48 shows an air-filled, acoustic...Ch. 17 - Prob. 94P Ch. 17 - SSMThe sound intensity is 0.0080 W/m2 at a...Ch. 17 - Four sound waves are to be sent through the same...Ch. 17 - Prob. 97P Ch. 17 - A point source that is stationary on an x axis...Ch. 17 - You are standing at a distance D from an isotropic...Ch. 17 - Pipe A has only one open end; pipe B is four times...Ch. 17 - A pipe 0.60 m long and closed at one end is filled...Ch. 17 - A sound wave travels out uniformly in all...Ch. 17 - A police car is chasing a speeding Porsche 911....Ch. 17 - Suppose a spherical loudspeaker emits sound...Ch. 17 - In Fig. 17-35. S1 and S2 are two isotropic point...Ch. 17 - Prob. 106P Ch. 17 - Kundts method for measuring the speed of sound. In...Ch. 17 - Prob. 108P Ch. 17 - In Fig. 17-53, a point source S of sound waves...Ch. 17 - A person on a railroad car blows a trumpet note at...Ch. 17 - A listener at rest with respect to the air and the...

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To find In which pipe will the sound produced by the string cause resonance and the type of oscillation mode that the resonating sound will set up.

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Chapter 17 Solutions

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In which pipe will the sound produced by the string cause resonance and the type of oscillation mode that the resonating sound will set up.