Concept explainers
Two speakers that are 15.0 m apart produce in-phase sound waves of frequency 250.0 Hz in a room where the speed of sound is 340.0 m/s. A woman starts out at the midpoint between the two speakers. The room’s walls and ceiling are covered with absorbers to eliminate reflections, and she listens with only one ear for best precision. (a) What does she hear: constructive or destructive interference? Why? (b) She now walks slowly toward one of the speakers. How far from the center must she walk before she first hears the sound reach a minimum intensity? (c) How far from the center must she walk before she first hears the sound maximally enhanced?
Trending nowThis is a popular solution!
Chapter 35 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Additional Science Textbook Solutions
University Physics Volume 1
Tutorials in Introductory Physics
The Cosmic Perspective (8th Edition)
Modern Physics
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
- A riverside warehouse has several small doors facing the river. Two of these doors are open as shown in Figure P27.17. The walls of the warehouse are lined with sound-absorbing material. Two people stand at a distance L = 150 in from the wall with the open doors. Person A stands along a line passing through the midpoint between the open doors, and person B stands a distance y = 20 m to his side. A boat o the river sounds its horn. To person A, the sound is loud and clear. To person B, the sound is barely audible. The principal wavelength of the sound waves is 5.00 m. Assuming person B is at the position of the first minimum, determine the distance d between the doors, center to center.arrow_forwardTwo loudspeakers, placed on opposite walls of a 10m long room, emit pure sine waves at f= 170 Hz coherently. If we were exactly in the middle of the room, where the interference of waves is constructive, what is the shortest distance we should travel towards one of the speakers so that the waves cancel out completely?" Assume that the speed of sound at air is 340 m/s.arrow_forwardWaves from a radio station have a wavelength of 250 m. They travel by two paths to a home receiver 20.0 km from the transmitter. One path is a direct path, and the second is by reflection from a mountain directly behind the home receiver. What is the minimum distance from the mountain to the receiver that produces destructive interference at the receiver? (Assume that no phase change occurs on reflection from the mountain.)arrow_forward
- Two identical audio speakers connected to the same amplifier produce in-phase sound waves with a single frequency that can be varied between 340 and 575 HzHz . The speed of sound is 340 m/sm/s . You find that where you are standing, you hear minimum-intensity sound If one of the speakers is moved 39.8 cmcm toward you, the sound you hear has maximum intensity. What is the frequency of the sound? Express your answer in hertz. How much closer to you from the position in part B must the speaker be moved to the next position where you hear maximum intensity? Express your answer in meters.arrow_forwardAt a location that is 3.00 m from wave source A and 4.20 m from wave source B, constructive interference occurs. Source A and source B are coherent and in phase. What is the maximum wavelength of the waves?arrow_forwardFor a diffraction horn loudspeaker, sound emerges through a rectangular opening. The opening of a diffraction horn has a width of 0.12 m. If the speaker emits a continuous tone with a wavelength of 0.09 m, at what angle does the first minimum occur?arrow_forward
- Two identical point sources are 5.0 cm apart, in phase and vibrating at a frequency of 12 Hz. They produce an interference pattern. A point on the first nodal line is 5 cm from one source and 5.5 cm from the other. Determine thewavelength and the speed of the waves.arrow_forwardSpeakers A and B are 100 m apart and send out coherent sound waves with frequency of f = 200 Hz. Alice is standing at the center of the line that connects the two speakers. If she starts walking toward either of the speakers, (a) What is the shortest distance she should travel to hear two constructive interference? (not counting the one at the center of the line)arrow_forwardSuppose that the two waves in the figure have wavelength 624 nm in air. What multiple of A gives their phase difference when they emerge if (a) n1 1.72, and L = 8.99 µm; (b) n1 1.71 and n2 1.62 and n2 1.74 and n2 = 1.84, and L = 8.99 µm; and (c) n1 1.91, and L = 3.13 µmarrow_forward
- Two loudspeakers are mounted on a wall, one h = 3.46 m above the other. Exactly 8.00 meters to the right of the midpoint, a sensor rests at point O. Point O is equally distant from ea loudspeaker. 8.00 m h The loudspeakers are driven by the same tone generator and vibrate in phase at 430 Hz. It is possible to create a condition of destructive interference at Point O by changing one or both of the path lengths (r, and r,) between speaker and sensor. Suppose that this is done raising the upper speaker while leaving the lower speaker in place. What is the smallest vertical distance (in m) that you would need to raise the upper speaker by, in order to create destructive interference at Point O? (The speed of sound waves in air is 343 m/s.)arrow_forwardTwo synchronized microwave sources, A and B, are emitting waves of wavelength 4.0 cm. Source A is located on the x-axis at x = 0, source B can be moved along the x-axis, and a microwave receiver is fixed on the x-axis at x = 91 cm. For each of the following positions of source, B determines whether the waves from the sources will reach the receiver in phase (constructive interference), out of phase (destructive interference), or with a phase difference of π/2 rad. Part (d) x = -4 cm. Part (e) x = -3 cm. Part (f) x = -2 cm.arrow_forwardProblem 4: Two identical loudspeakers send identical sound waves out to a listener at x = 20 m. The speakers are respectively located at (0;0) m and (0;7.61) m. The frequency of the two waves is slowly increased from a very low value. Give the first four wavelengths at which minimum sound will be hear.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning