Concept explainers
GO Figure 17-35 shows two isotropic point sources of sound, S1 and S2. The sources emit waves in phase at wavelength 0.50 m; they are separated by D = 1.75 m. If we move a sound detector along a large circle centered at the midpoint between the sources, at how many points do waves arrive at the detector (a) exactly in phase and (b) exactly out of phase?
Figure 17-35 Problems 19 and 105.
Want to see the full answer?
Check out a sample textbook solutionChapter 17 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Additional Science Textbook Solutions
Fundamentals Of Thermodynamics
Introductory Chemistry (6th Edition)
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Human Biology: Concepts and Current Issues (8th Edition)
Microbiology: An Introduction
- Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)arrow_forwardConsider a composite wave formed by two plane waves with slightly different frequencies of 0, = 2.7 x 1012 rad/s and aw2 = 2.9 × 1012 rad/s and respective wavelengths A1 = 17.0 nm and 2 16.0 nm. Calculate the propagation velocity %D of the envelope wave and give your results in units of m/s with 1 digit precision, rounding off to one decimal place, i.e. the nearest tenth. (time budget 5min)arrow_forwardO y1 = 0.01 sin(5Ttx-40tt); y2 = 0.01 sin(5Tx+40Tt), %3D O y1 = 0.005 sin(5tx-40nt); y2 = 0.005 sin(5Ttx+40nt), Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y_res (x,t) = 4 cm sin(4Ttx-60Tt+Tt/3). The amplitude of the individual waves %3D generating this wave is: 2 cm 2/v3 cm 8 cm O 4 cm O 4/13 cm ding waye on a wire 1.8m long clamped atarrow_forward
- 2 In Fig. 17-25, two point sources S. S, and S2, which are in phase, emit identical sound waves of wave- S,. length 2.0 m. In terms of wave- lengths, what is the phase differ- ence between the waves arriving at point P if (a) L1 = 38 m and L2 = 34 m, and (b) L, = 39 m and L2 = 36 m? (c) Assuming that the source separation is much smaller than L1 and L2, what type of interference occurs at P in situations (a) and (b)? Figure 17-25 Question 2.arrow_forwardThe figure shows four isotropic point sources of sound that are uniformly spaced on an x axis. The sources emit sound at the same wavelength and same amplitude sm, and they emit in phase. A point P is shown on the x axis. Assume that as the sound waves travel to P, the decrease in their amplitude is negligible. What multiple of sm is the amplitude of the net wave at P if distance d in the figure is (a)1A, (b)2A, and (c)4A? (a) Number i Units (b) Number i Units (c) Number i Unitsarrow_forwardProblem 17: Two small loudspeakers, L1 and L2, are oscillating in phase at a frequency of 516 Hz, sending out soundwave crests and troughs in synchrony. The speakers are spaced 4.1 m apart. The speed of sound propagation in air is 344 m/s. If you move a small microphone, M, slowly, along a straight line from L1 to L2, you will dectect maxima and minima of sound intensity, i.e., in the loudness of the sound. How such maxima and minima will you find between L1 and L2? many l2 – l1, where lz is the distance from L2 to Hints: Consider the pathlength difference, Al M and and li is the distance from L1 to M. (1) What is the range of Al-values covered as M is moved from Lị to L2? In other words: What is the initial value of Al when M starts from L1? What is the final value of Al when M arrives at L2? (2) An intensity maximum occurs whenever Al reaches the values Al 0, ±1A, ±2), (3) An intensity minimum .... occurs when Al +}1, ±}A, .... (A) 6 maxima, 5 minima (B) 6 maxima, 7 minima (C) 15…arrow_forward
- an airfilled, acoustic interferometer, used to demonstrate the interference of sound waves. Sound source S is an oscillating diaphragm; D is a sound detector, such as the ear or a microphone. Path SBD can be varied in length, but path SAD is fixed. At D, the sound wave coming along path SBD interferes with that coming along path SAD. In one demonstration, the sound intensity at D has a minimum value of 100 units at one position of the movable arm and continuously climbs to a maximum value of 900 units when that arm is shifted by 1.65 cm. Find (a) the frequency of the sound emitted by the source and (b) the ratio of the amplitude at D of the SAD wave to that of the SBD wave. (c) How can it happen that these waves have different amplitudes, considering that they originate at the same source?arrow_forwardhelparrow_forwardA wave is given by y=asin(kx-wt) where w=18rad/s and wavelength=2πm. Determine the speed of a particle of the medium when kx=wtarrow_forward
- 79 O In Fig. 17-46, sound of wavelength 0.850 m is emitted isotropically by point source S. Sound ray 1 extends directly to detector D, at distance L = 10.0 m. Sound ray 2 extends to D via a reflection (effectively, a "bouncing") of the sound at a flat surface. That reflection occurs on a perpendicular bisector to the SD line, at distance d from the line. Assume that the reflection shifts the sound wave by 0.500A. For what least value of d (other than zero) do the direct sound and the reflected soupd arrive at D (a) exactly out of phase and (b) exactly in phase? Ray 2 Ray 1 L. 2 Figure 17-46 Problem 79.arrow_forwardcan you please ans (a), (b) & (c)?arrow_forward15 MCQS The amplitude of two sinusoidal waves propagating in the same direction is A = 0.027 m. Due to their interference, a resultant wave with an amplitude A,es = 0 is produced. Which of the following statements is correct? Their phase difference is o = n and their interference is perfectly destructive O Their phase difference is p = 0 and their interference is perfectly destructive O Their phase difference is o = 0 and their interference is perfectly constructive O Their phase difference is p = t and their interference is perfectly constructive The figure below shows the maximum displacement for a standing wave pattern. The earliest time between the two flashes (the solid and the dotted lines) is 0.05 s. The wave functions for the two waves to produce the standing wave pattern shown in the figure are:arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning