Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 17, Problem 30EAP
Two in-phase speakers
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Two identical loudspeakers 2.0 m apart are emitting 1800 Hz sound waves into a room where the speed of sound is 340 m/s. Is the point 4.0 m directlyin front of one of the speakers, perpendicular to the line joining the speakers, a point of maximum constructive interference, perfect destructive interference, or something in between?
Two speakers are against a wall emitting a sound at 767 Hz, 14 m apart, and facing each other. You are standing against the wall in between the speakers. Use 344ms for the speed of sound in air.
A) What is the closest distance that you can be from the speaker on the left at which you exprerience total destructive interference, and the sound from the speakers cancel out?
B) What is the closest distance that you can be from the speaker on the left at which you experrience total constructive interference, and the sound intensity is doubled?
Two small speakers A and B are driven in step at 745 Hz by the same audio oscillator. These speakers both start out 4.50 m from the listener, but speaker A is slowly moved away.
At what distance d will the sound from the speakers first produce destructive interference at the location of the listener?
Chapter 17 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 17 - Prob. 1CQCh. 17 - If you take snapshots of a standing wave on a...Ch. 17 - Prob. 3CQCh. 17 - Prob. 4CQCh. 17 - Prob. 5CQCh. 17 - Prob. 6CQCh. 17 - Prob. 7CQCh. 17 - Prob. 8CQCh. 17 - Prob. 9CQCh. 17 - 10. A trumpet player hears 5 beats per second when...
Ch. 17 - Prob. 1EAPCh. 17 - FIGURE EX17.2 is a snapshot graph at i = 0 s of...Ch. 17 - Prob. 3EAPCh. 17 - Prob. 4EAPCh. 17 - Prob. 5EAPCh. 17 - Prob. 6EAPCh. 17 - FIGURE EX17.7 shows a standing wave on a string...Ch. 17 - Prob. 8EAPCh. 17 - Prob. 9EAPCh. 17 - 10. The two highest-pitch strings on a violin are...Ch. 17 - A heavy piece of hanging sculpture is suspended by...Ch. 17 - Prob. 12EAPCh. 17 - Prob. 13EAPCh. 17 - What are the three longest wavelengths for...Ch. 17 - Prob. 15EAPCh. 17 - Prob. 16EAPCh. 17 - We can make a simple model of the human vocal...Ch. 17 - The lowest note on a grand piano has a frequency...Ch. 17 - A bass clarinet can be modeled as a 120cmlong...Ch. 17 - Prob. 20EAPCh. 17 - Prob. 21EAPCh. 17 - Prob. 22EAPCh. 17 - Two loudspeakers in a 20C room emit 686Hz sound...Ch. 17 - Prob. 24EAPCh. 17 - What is the thinnest film of MgF2(n1.39) on glass...Ch. 17 - Prob. 26EAPCh. 17 - I FIGURE EX17.27 shows the circular wave fronts...Ch. 17 - Prob. 28EAPCh. 17 - 29. Two in-phase loudspeakers, which emit sound...Ch. 17 - Two in-phase speakers 2.0m apart in a plane are...Ch. 17 - Prob. 31EAPCh. 17 - Prob. 32EAPCh. 17 - A flute player hears four beats per second when...Ch. 17 - Traditional Indonesian music uses an ensemble...Ch. 17 - Two microwave signals of nearly equal wavelengths...Ch. 17 - A 2.0mlong string vibrates at its second-harmonic...Ch. 17 - Prob. 37EAPCh. 17 - Prob. 38EAPCh. 17 - Biologists think that some spiders “tune” strands...Ch. 17 - Prob. 40EAPCh. 17 - Prob. 41EAPCh. 17 - Prob. 42EAPCh. 17 - Prob. 43EAPCh. 17 - A 75g bungee cord has an equilibrium length of...Ch. 17 - Prob. 45EAPCh. 17 - Prob. 46EAPCh. 17 - Prob. 47EAPCh. 17 - Prob. 48EAPCh. 17 - Prob. 49EAPCh. 17 - Prob. 50EAPCh. 17 - Prob. 51EAPCh. 17 - Prob. 52EAPCh. 17 - Prob. 53EAPCh. 17 - Prob. 54EAPCh. 17 - Prob. 55EAPCh. 17 - A 44-cm-diameter water tank is filled with 35 cm...Ch. 17 - Prob. 57EAPCh. 17 - Prob. 58EAPCh. 17 - Two in-phase loudspeakers emit identical 1000 Hz...Ch. 17 - Prob. 60EAPCh. 17 - Two loudspeakers emit sound waves of the same...Ch. 17 - Prob. 62EAPCh. 17 - Prob. 63EAPCh. 17 - Prob. 64EAPCh. 17 - Prob. 65EAPCh. 17 - Engineers are testing a new thin-film coating...Ch. 17 - Prob. 67EAPCh. 17 - Prob. 68EAPCh. 17 - Two loudspeakers in a plane, 5.0 m apart, are...Ch. 17 - Two identical loudspeakers separated by distance...Ch. 17 - Prob. 71EAPCh. 17 - Piano tuners tune pianos by listening to the beats...Ch. 17 - Prob. 73EAPCh. 17 - Prob. 74EAPCh. 17 - Prob. 75EAPCh. 17 - Two radio antennas are separated by 2.0 m. Both...Ch. 17 - Prob. 77EAPCh. 17 - Prob. 78EAPCh. 17 - Prob. 79EAPCh. 17 - Ultrasound has many medical applications, one of...Ch. 17 - Prob. 81EAP
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- What is the necessary condition on the path length difference between two waves that interfere (a) constructively and (b) destructively?arrow_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_forwardIf a large housefly 3.0 m away from you makes a noise of 40.0 dB, what is the noise level of 1000 flies at that distance, assuming interference has a negligible effect?arrow_forward
- If a large housefly 3.0 m away from you makes a noise of 40.0 dB, what is the noise level of 1000 flies at that distance, assuming interference has a negligible effect?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_forwardWhen poked by a spear, an operatic soprano lets out a 1200—Hz shriek. What is its wavelength if the speed of sound is 345 m/s?arrow_forward
- 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_forwardTwo loudspeakers in a 20°C room emit 686 Hz sound waves along the x-axis. What is the smallest distance between the speakers for which the interference of the sound waves for a point on the axis is destructive?arrow_forwardSuppose that the separation between two speakers A and B is 4.90 m and the speakers are vibrating in-phase. They are playing identical 101-Hz tones and the speed of sound is 343 m/s. An observer is seated at a position directly facing speaker B in such a way that his line of sight extending to B is perpendicular to the imaginary line between A and B. What is the largest possible distance between speaker B and the observer, such that he observes destructive interference? Number i Unitsarrow_forward
- Two speakers separated by a distance of 4.30 m emit sound of frequency 221 Hz. The speakers are in phase with oneanother. A person listens from a location 2.80 m directly in front of one of the speakers. Does the person hear constructive or destructive interference?arrow_forwardTwo loudspeakers, A and B (Fig. ), are driven by thesame amplifier and emit sinusoidal waves in phase. Speaker B is 2.00 mto the right of speaker A. Consider point Q along the extension ofthe line connecting the speakers, 1.00 m to the right of speaker B.Both speakers emit sound waves that travel directly from the speaker topoint Q. What is the lowest frequency for which (a) constructive interferenceoccurs at point Q; (b) destructive interference occurs at point Q?arrow_forwardProblem 12: Two speakers placed 0.98 m apart produce pure tones in sync with each other at a frequency of 1225 Hz. A microphone can be moved along a line parallel to the line joining the speakers and 9.6 m from it. An intensity maximum is measured a point Po where the microphone is equidistant from the two speakers. As we move the microphone away from Po to one side, we find intensity minima and maxima alternately. Take the speed of sound in air to be 344 m/s, and you can assume that the slits are close enough together that the equations that describe the interference pattern of light passing through two slits can be applied here. Part (a) What is the distance, in meters, between Po and the first intensity minimum? ly'₁l = 1 ~Part (b) What is the distance, in meters, between Po and the first intensity maximum? Part (c) What is the distance, in meters, between Po and the second intensity minimum? Part (d) What is the distance, in meters, between Po and the second intensity maximum? Part…arrow_forward
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