Concept explainers
An effect analogous to two-slit interference can occur with sound waves, instead of light. In an open field, two speakers placed 1.30 m apart are powered by a single-function generator producing sine waves at 1200-Hz frequency. A student walks along a line 12.5 m away and parallel to the line between the speakers. She hears an alternating pattern of loud and quiet, due to constructive and destructive interference. What is (a) the wavelength of this sound and (b) the distance between the central maximum and the first maximum (loud) position along this line?
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
University Physics Volume 3
Additional Science Textbook Solutions
College Physics
University Physics Volume 2
University Physics Volume 1
College Physics: A Strategic Approach (3rd Edition)
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
College Physics: A Strategic Approach (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_forwardFigure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d = 50.0 m and both a distance h = 35.0 m above the ground. The receiver can receive signals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180 phase shift occurs upon reflection. Determine the longest wavelengths that interfere (a) constructively and (b) destructively. Figure P36.35 Problems 35 and 36.arrow_forwardTwo 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_forward
- Two out of phase loudspeakers are some distance apart. A person stands 5.30 m from one speaker and 2.60 m from the other. What is the third lowest frequency at which constructive interference will occur? The speed of sound in air is 338 m/s.arrow_forwardTwo in-phase loudspeakers that emit sound with the same frequency are placed along a wall and are separated by a distance of 5.00 m. A person is standing 12.0 m away from the wall, equidistant from the loudspeakers. When the person moves 1.00 m parallel to the wall, she experiencesdestructive interference for the first time. What is the frequency of the sound? The speed of sound in air is 343 m/s.arrow_forwardLight of wavelength λ = 410 nm is incident upon two thin slits that are separated by a distance d = 25 μm. The light hits a screen L = 2.4 m from the screen. It is observed that at a point y = 4.8 mm from the central maximum the intensity of the light is I = 85 W/m2. Part (a) Write an equation for the phase shift between the light from the two slits at the observation point in terms of the given variables. Part (b) For the given data, what is the phase shift, in radians, between the light from the two slits at the observation point? Part (c) What is the intensity of the light at the two slits (I0) in watts per square meter?arrow_forward
- At 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_forwardIn your summer job at an optics company, you are asked to measure the wavelength λ of the light that is produced by a laser. To do so, you pass the laser light through two narrow slits that are separated by a distance d. You observe the interference pattern on a screen that is 0.900 m from the slits and measure the separation ∆y between adjacent bright fringes in the portion of the pattern that is near the center of the screen. Using a microscope, you measure d. But both ∆y and d are small and difficult to measure accurately, so you repeat the measurements for several pairs of slits, each with a different value of d. Your results are shown in Fig. P35.50, where you have plotted ∆y versus 1/d. The line in the graph is the best-fit straight line for the data. (a) Explain why the data points plotted this way fall close to a straight line. (b) Use Fig. to calculate λ.arrow_forwardThe figure below shows a radio-wave transmitter and a receiver, both h = 41.0 m above the ground and d = 540 m apart. The receiver can receive signals directly from the transmitter and indirectly from signals that bounce off the ground. (a) If the ground is level between the transmitter and receiver and a λ/2 phase shift occurs upon reflection, determine the longest wavelengths that interfere constructively. (b) If the ground is level between the transmitter and receiver and a λ/2 phase shift occurs upon reflection, determine the longest wavelengths that interfere destructively.arrow_forward
- A viewing screen is separated from a double slit by 4.80 m. The distance between the two slits is 0.030 0 mm. Monochromatic light is directed toward the double slit and forms an interference pattern on the screen. The first dark fringe is 4.50 cm from the center line on the screen.(A) Determine the wavelength of the light.arrow_forwardSuppose that the two waves in the figure have wavelength 451 nm in air. What multiple of A gives their phase difference when they emerge if (a) n₁1.68 and n₂-1.78, and L-7.67 um: (b) n₁-180 and n₂-1.90, and L-7.67 μm; and (c) ny-1.77 and n-1.97, and L- 3.39 pm My My (a) Number (b) Number (c) Number Units Units Unitsarrow_forwardA circular diaphragm 62.72 cm in diameter oscillates at a frequency of 15.97 kHz as an underwater source of sound used for submarine detection. Far from the source, the sound intensity is distributed as the diffraction pattern of a circular hole whose diameter equals that of the diaphragm. Take the speed of sound in water to be 1450. m/s, and find the angle (in degrees) between the normal to the diaphragm and a line from the diaphragm to the first minimum.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning