Modified Mastering Physics With Pearson Etext -- Standalone Access Card -- For Physics For Scientists & Engineers With Modern Physics (5th Edition)
5th Edition
ISBN: 9780134402628
Author: Douglas C. Giancoli
Publisher: PEARSON
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Consider two identical interfering waves with wavelength A = 0.4 m travelling in
the positive x-direction. The two waves start at the same time but at different
positions, x1 and x2 from an observer (x1 > x2). What should the path difference,
Ax = x1 - x2, between the starting positions be in order for the two waves to
differ in phase by t/6 rad?
Ax = 1/50 m
O Ax = 1/40 m
O Ax = 1/30 m
O Ax = 1/60 m
O Ax = 1/20 m
Two speakers, emitting identical sound waves of wavelength 2.0 m in phase with each other, and an observer are located as shown in Fig. (a) At the observer’s location, what is the path difference for waves from the two speakers? (b) Will the sound waves interfere constructively or destructively at the observer’s location—or something in between constructive and destructive? c) Suppose the observer now increases her distance from the closest speaker to 17.0 m, staying directly in front of the same speaker as initially. Answer the questions of parts (a) and (b) for this new situation.
If two travelling waves interfere to produce a standing wave described by: y(x,t) =
0.02sin(4Ttx)cos(120tt), then the wave functions of the two interfering waves
are:
y_1 (x,t) = 0.02sin(2rx - 60rt) and y_2 (x,t) = 0.02sin(2rtx + 60rt)
O y-1 (x,t) = 0.04sin(2rx - 60nt) and y_2 (x,t) = 0.04sin(2rx + 60nt)
O y-1 (x,t) = 0.02sin(4Tx - 120t) and y_2 (x,t) = 0.02sin(4Tx + 120nt)
O y-1 (x,t) = 0.01sin(4Tx - 120nt) and y_2 (x,t) = 0.01sin(4Tx + 120nt)
O y_1 (x,t) = 0.04sin(4Tx - 120nt) and y_2 (x,t) = 0.04sin(4Ttx + 120t)
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Chapter 16 Solutions
Modified Mastering Physics With Pearson Etext -- Standalone Access Card -- For Physics For Scientists & Engineers With Modern Physics (5th Edition)
Ch. 16.3 - If an increase of 3 dB means twice as intense,...Ch. 16.3 - Trumpet players. A trumpeter plays at a sound...Ch. 16.4 - Prob. 1CECh. 16.4 - Prob. 1EECh. 16.7 - Prob. 1FECh. 16.7 - How fast would a source have to approach an...Ch. 16 - What is the evidence that sound travels as a wave?Ch. 16 - What is the evidence that sound is a form of...Ch. 16 - Children sometimes play with a homemade telephone...Ch. 16 - When a sound wave passes from air into water, do...
Ch. 16 - What evidence can you give that the speed of sound...Ch. 16 - The voice of a person who has inhaled helium...Ch. 16 - Two tuning forks oscillate with the same...Ch. 16 - How will the air temperature in a room affect the...Ch. 16 - Explain how a lube might be used as a filler to...Ch. 16 - Prob. 10QCh. 16 - Prob. 11QCh. 16 - A noisy truck approaches you from behind a...Ch. 16 - Traditional methods of protecting the hearing of...Ch. 16 - In Fig. 16-15, if the frequency of the speakers is...Ch. 16 - Prob. 15QCh. 16 - Consider the two waves shown in Fig. 1630. Each...Ch. 16 - Is there a Doppler shift if the source and...Ch. 16 - If a wind is blowing, will this alter the...Ch. 16 - Figure 1631 shows various positions of a child on...Ch. 16 - Prob. 1MCQCh. 16 - Prob. 2MCQCh. 16 - Prob. 3MCQCh. 16 - Prob. 4MCQCh. 16 - Prob. 5MCQCh. 16 - Prob. 6MCQCh. 16 - Prob. 7MCQCh. 16 - Prob. 8MCQCh. 16 - Prob. 9MCQCh. 16 - Prob. 10MCQCh. 16 - Prob. 11MCQCh. 16 - Prob. 12MCQCh. 16 - Prob. 13MCQCh. 16 - Prob. 14MCQCh. 16 - Prob. 1PCh. 16 - Prob. 2PCh. 16 - Prob. 3PCh. 16 - Prob. 4PCh. 16 - Prob. 5PCh. 16 - Prob. 6PCh. 16 - Prob. 7PCh. 16 - Prob. 8PCh. 16 - (II) Write an expression that describes the...Ch. 16 - Prob. 10PCh. 16 - Prob. 11PCh. 16 - Prob. 12PCh. 16 - Prob. 13PCh. 16 - What is the intensity of a sound at the pain level...Ch. 16 - Prob. 15PCh. 16 - Prob. 16PCh. 16 - Prob. 17PCh. 16 - Prob. 18PCh. 16 - A fireworks shell explodes 100m above the ground,...Ch. 16 - Prob. 20PCh. 16 - Prob. 21PCh. 16 - Prob. 22PCh. 16 - Prob. 23PCh. 16 - Prob. 24PCh. 16 - Prob. 25PCh. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - Prob. 28PCh. 16 - Prob. 29PCh. 16 - Prob. 30PCh. 16 - Prob. 31PCh. 16 - Prob. 32PCh. 16 - Prob. 33PCh. 16 - Prob. 34PCh. 16 - Prob. 35PCh. 16 - Prob. 36PCh. 16 - Prob. 37PCh. 16 - (II) A particular organ pipe can resonate at 264...Ch. 16 - Prob. 39PCh. 16 - Prob. 40PCh. 16 - Prob. 41PCh. 16 - Prob. 42PCh. 16 - Prob. 43PCh. 16 - The human car canal is approximately 2.5 cm long....Ch. 16 - Prob. 45PCh. 16 - (II) Approximately what are the intensities of the...Ch. 16 - Prob. 47PCh. 16 - Prob. 48PCh. 16 - Prob. 49PCh. 16 - What is the beat frequency if middle C (262 Hz)...Ch. 16 - Prob. 51PCh. 16 - (II) The two sources of sound in Fig. 1615 face...Ch. 16 - Prob. 53PCh. 16 - Prob. 54PCh. 16 - Prob. 55PCh. 16 - Prob. 56PCh. 16 - Prob. 57PCh. 16 - Prob. 58PCh. 16 - Prob. 59PCh. 16 - Prob. 60PCh. 16 - Prob. 61PCh. 16 - Prob. 62PCh. 16 - Prob. 63PCh. 16 - Prob. 64PCh. 16 - Prob. 65PCh. 16 - Prob. 66PCh. 16 - Prob. 67PCh. 16 - Prob. 68PCh. 16 - Prob. 69PCh. 16 - Prob. 70PCh. 16 - Show that the angle a sonic boom makes with the...Ch. 16 - Prob. 72PCh. 16 - Prob. 73GPCh. 16 - Prob. 74GPCh. 16 - Prob. 75GPCh. 16 - Prob. 76GPCh. 16 - Prob. 77GPCh. 16 - Prob. 78GPCh. 16 - Prob. 79GPCh. 16 - Prob. 80GPCh. 16 - Prob. 81GPCh. 16 - Prob. 82GPCh. 16 - Prob. 83GPCh. 16 - Prob. 84GPCh. 16 - Prob. 85GPCh. 16 - Prob. 86GPCh. 16 - Prob. 87GPCh. 16 - Prob. 88GPCh. 16 - Prob. 89GPCh. 16 - Prob. 90GPCh. 16 - Prob. 91GPCh. 16 - Prob. 92GPCh. 16 - Prob. 93GPCh. 16 - Prob. 94GPCh. 16 - Prob. 95GPCh. 16 - Prob. 96GPCh. 16 - Prob. 97GPCh. 16 - Prob. 98GPCh. 16 - Prob. 99GPCh. 16 - Prob. 100GPCh. 16 - Prob. 101GPCh. 16 - Prob. 102GPCh. 16 - Prob. 103GPCh. 16 - Prob. 104GP
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Similar questions
- Two sinusoidal waves with identical wavelengths and amplitudes travel in opposite directions along a string producing a standing wave. The linear mass density of the string is =0.075 kg/m and the tension in the string is FT=5.00 N. The time interval between instances of total destructive interference is t=0.13 s. What is the wavelength of the waves?arrow_forwardIn Figure OQ14.3, a sound wave of wavelength 0.8 m divides into two equal parts that recombine to interfere constructively, with the original difference between their path lengths being |r2 − r1| = 0.8 m. Rank the following situations according to the intensity of sound at the receiver from the highest to the lowest. Assume the tube walls absorb no sound energy. Give equal ranks to situations in which the intensity is equal. (a) From its original position, the sliding section is moved out by 0.1 m. (b) Next it slides out an additional 0.1 m. (c) It slides out still another 0.1 m. (d) It slides out 0.1 m more. Figure OQ14.3arrow_forwardA speaker is placed at the opening of a long horizontal tube. The speaker oscillates at a frequency of f, creating a sound wave that moves down the tube. The wave moves through the tube at a speed of v=340.00 m/s. The sound wave is modeled with the wave function s(x,t)=smaxcos(kxt+) . At time t=0.00 s , an air molecule at x=2.3 m is at the maximum displacement of 6.34 nm. At the same time, another molecule at x=2.7 m has a displacement of 2.30 nm. What is the wave function of the sound wave, that is, find the wave number, angular frequency, and the initial phase shift?arrow_forward
- In figure OQ18.1 (page 566), a sound wave of wave-lenght 0.8 m divides into two equal parts that recombine to interfere constructively, with the original difference between their path lengths being |r2 r1| = 0.8 m. Rank the following situations according to the intensity of sound at the receiver from the highest to the lowest. Assume the tube walls absorb no sound energy. Give equal ranks to situations in which the intensity is equal. (a) From its original position, the sliding section is moved out by 0.1 m. (b) Next it slides out an additional 0.1 m. (c) It slides out still another 0.1 m. (d) It slides out 0.1 m more.arrow_forwardTwo identical loudspeakers 10.0 m apart are driven by the same oscillator with a frequency of f = 21.5 Hz (Fig. P17.6) in an area where the speed of sound is 344 m/s. (a) Show that a receiver at point A records a minimum in sound intensity from the two speakers. (b) If the receiver is moved in the plane of the speakers, show that the path it should take so that the intensity remains at a minimum is along the hyperbola 9x2 16y2 = 144 (shown in red-brown in Fig. P17.6). (c) Can the receiver remain at a minimum and move very far away from the two sources? If so, determine the limiting form of the path it must take. If not, explain how far it can go. Figure P17.6arrow_forwardTwo sources as in phase and emit waves with =0.42 m. Determine whether constructive or destructive interference occurs at points whose distances from the two sources are (a) 0.84 and 0.42 m, (b) 0.21 and 0.42 m, (c) 1.26 and 0.42 m, (d) 1.87 and 1.45 m, (e) 0.63 and 0.84 m and (f) 1.47 and 1.26 m.arrow_forward
- Consider detectors of water waves at three locations A, B, and C in Active Figure 13.23b. Which of the following statements is true? (a) The wave speed is highest at location A. (b) The wave speed is highest at location C. (c) The detected wavelength is largest at location B. (d) The detected wavelength is largest at location C. (e) The detected frequency is highest at location C. (f) The detected frequency is highest at location A.arrow_forwardA sound wave in air has a pressure amplitude equal to 4.00 103 Pa. Calculate the displacement amplitude of the wave at a frequency of 10.0 kHz.arrow_forwardDuring a 4th of July celebration, an M80 firework explodes on the ground, producing a bright flash and a loud bang. The air temperature of the night air is TF=90.00F . Two observers see the flash and hear the bang. The first observer notes the time between the flash and the bang as 1.00 second. The second observer notes the difference as 3.00 seconds. The line of sight between the two observers meet at a right angle as shown below. What is the distance x between the two observers?arrow_forward
- A speaker is placed at the opening of a long horizontal tube. The speaker oscillates at a frequency f, creating a sound wave that moves down the tube. The wave moves through the tube at a speed of v=340.00 m/s. The sound wave is modeled with the wave function s(x,t)=smaxcos(kxt+) . At time t=0.00 s , an air molecule at x=3.5 m is at the maximum displacement of 7.00 nm. At the same time, another molecule at x=3.7 m has a displacement of 3.00 nm. What is the frequency at which the speaker is oscillating?arrow_forward(a) What is the speed of sound in a medium where a 100kHz frequency produces a 5.96cm wavelength? (b) Which substance in Table 17.1 is this likely to be?arrow_forwardTwo-point sources emit sound waves of 1 m wavelengths. The sources are pointed at each other. The sources, 2 m apart, emit waves that are in phase with each other at the instant of emission. a) Where, along the line between the sources are the waves out of phase with each other by pi radians? b) If the emitted wavelength changes to 0.5 m, where are the waves out of phase with each other by π/2 radians?arrow_forward
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