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

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

See similar textbooks

Concept explainers

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).

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

suggest a reason ultrasound cleaning is better than cleaning by hand?

Checkpoint 4 The figure shows four orientations of an electric di- pole in an external electric field. Rank the orienta- tions according to (a) the magnitude of the torque on the dipole and (b) the potential energy of the di- pole, greatest first. (1) (2) E (4)

What is integrated science. What is fractional distillation What is simple distillation

Chapter 17 Solutions

Fundamentals of Physics Extended

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. 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 - 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...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

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

Solution Summary: The author explains how the pressure variations created at certain point by the two waves are given.

Concept explainers

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

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

Solution Summary: The author explains how the pressure variations created at certain point by the two waves are given.

Concept explainers

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