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

11th Edition

ISBN: 9781119459170

Author: 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, Problem 9Q

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Ch. 17 - Prob. 1Q 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. 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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 - Prob. 104P Ch. 17 - In Fig. 17-35. 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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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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.