Explanation 1) Concept: The pressure variations created at certain point by the two waves is given. Using this we can find the ratio ∆ p r / ∆ p m in terms of ϕ . Once we get the formula for ratio ∆ p r / ∆ p m in terms of ϕ , by varying the value for ϕ , we can find the required answer. 2) Formula: ∆ p r = ∆ p 1 + ∆ p 2 3) Given: i) ∆ p 1 = ∆ p m sin ⁡ ω t ii) ∆ p 2 = ∆ p m sin ⁡ ω t - ϕ 4) Calculations: For the resultant pressure amplitude ∆ p r = ∆ p 1 + ∆ p 2 ∆ p r = ∆ p m sin ⁡ ω t + ∆ p m sin ⁡ ω t - ϕ ∆ p r = ∆ p m × sin ⁡ ω t + sin ⁡ ω t - ϕ ∆ p r = ∆ p m × 2 × cos ⁡ ϕ 2 ∆ p r ∆ p m = 2 × cos ⁡ ϕ 2 a) We have, ϕ = 0 ∆ p r ∆ p m = 2 × cos ⁡ ϕ 2 ∆ p r ∆ p m = 2 × cos ⁡ 0 2 ∆ p r ∆ p m = 2 × cos ⁡ 0 ∆ p r ∆ p m = 2 × 1 ∆ p r ∆ p m = 2 b) We have ϕ = π 2 ∆ p r ∆ p m = 2 × cos ⁡ ϕ 2

11th Edition

ISBN: 9781119459170

Author: Halliday

Publisher: WILEY

See similar textbooks

Question

Chapter 17, Problem 88P

To determine

To Find:

a) Ratio of ∆pr/∆pm, when ϕ=0

b) Ratio of ∆pr/∆pm, when ϕ=π/2

c) Ratio of ∆pr/∆pm, when ϕ=π/3

d) Ratio of ∆pr/∆pm, when ϕ=π/4

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 17, Problem 87P

Chapter 17, Problem 89P

Students have asked these similar questions

Two concrete spans of a 234 m long bridge are placed end to end so that no room is allowed for expansion (Figure a). Each span therefore has a length of L0 = 117 m. If the temperature increases by 17.8 °C, what is the height y to which the spans rise when they buckle (Figure b)? (The coefficient of linear expansion of concrete is 1.20⋅10−51.20⋅10-5 °C−1.)

Monkey D. Luffy, from One Piece can inflate himself like a balloon to a size of 6.98 m3 by inhaling 1.74⋅10^26 molecules of air. If the air is at 20.9 ˚C, the pressure inside Luffy is 101277.062 Pa. kB=1.38⋅10^−23 J/K. The total internal energy of the gas inside Luffy is 1065333.93 J. How fast, on average, is the air molecules inside Luffy traveling at? The average mass of an air molecule (considering the various gasses involved) is 4.51 x 10^-26 kg.

The Dungeons & Dragons spell “Stinking Cloud” fills a 949 m^3 volume of air with a cloud of gas. The pressure of the gas is the same as the air, 101,325 Pa, and is at 29.2°C. There are 2.304x10^28 molecules of gas. What is the total internal energy of the gas?

Chapter 17 Solutions

FUND.OF PHYSICS(LL)-PRINT COMP-W/ACCESS

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. The splash...Ch. 17 - Prob. 8P 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. What...Ch. 17 - Prob. 29P Ch. 17 - The source of a sound wave has a power of 1.00 W....Ch. 17 - GO When you crack a knuckle, you suddenly widen...Ch. 17 - Approximately a third of people with normal...Ch. 17 - Male Rana catesbeiana bullfrogs arc known for...Ch. 17 - GO Two atmospheric sound sources A and B emit...Ch. 17 - A point source emits 30.0 W of sound...Ch. 17 - Party hearing. 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 - Prob. 104P 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...

Knowledge Booster

a) Ratio of ∆ p r / ∆ p m , when ϕ = 0 b) Ratio of ∆ p r / ∆ p m , when ϕ = π / 2 c) Ratio of ∆ p r / ∆ p m , when ϕ = π / 3 d) Ratio of ∆ p r / ∆ p m , when ϕ = π / 4

To Find: a) Ratio of ∆pr/∆pm, when ϕ=0 b) Ratio of ∆pr/∆pm, when ϕ=π/2 c) Ratio of ∆pr/∆pm, when ϕ=π/3 d) Ratio of ∆pr/∆pm, when ϕ=π/4

Want to see the full answer?

Chapter 17 Solutions

To Find:

a) Ratio of ∆pr/∆pm, when ϕ=0

b) Ratio of ∆pr/∆pm, when ϕ=π/2

c) Ratio of ∆pr/∆pm, when ϕ=π/3

d) Ratio of ∆pr/∆pm, when ϕ=π/4