The figure shows an air-filled, acoustic interferometer, used to demonstrate the interference of sound waves. Sound source S is anoscillating 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. AtD, the sound wave coming along path SBD interferes with that coming along path SAD. In one demonstration, the sound intensity at Dhas a minimum value of 82.0 units at one position of the movable arm and continuously climbs to a maximum value of 1000 units whenthat arm is shifted by 2.44 cm. Find (a) the frequency of the sound emitted by the source and (b) the ratio of the amplitude at D of theSAD wave to that of the SBD wave. (Take the speed of sound to be 343 m/s.)(a) Number iUnits(b) NumberiUnits+

To solve this problem, we'll need to understand the concept of destructive and constructive…

Answered: The figure shows an air-filled,…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The two speakers are placed 39.0 cm apart. A single oscillator makes the speakers vibrate in phase at a frequency of 2.01 kHz. At what angles, measured from the perpendicular bisector of the line joining the speakers, would a distant observer hear maximum sound intensity? Minimum sound intensity? (Take the speed of sound to be 340 m/s. Enter the magnitude of the angle only.) maximum intensities: (List smallest magnitude angle first.) ?1max = ?2max = ?3max = minimum intensities: (List smallest magnitude angle first.) minimum intensities: (List smallest magnitude angle first.) ?1min = ?2min =
Two identical forward-facing loudspeakers are 34.8 cm apart. They are both connected to a signal generator that makes them vibrate in phase at a frequency of 2.08 kHz. (Take the speed of sound as 340 m/s. Consider nonnegative angles only. Enter your answers from smallest to largest, starting with the smallest answer in the first answer blank below. Enter NONE in any remaining unused answer blanks.) (a) At what angles (in degrees), measured from the perpendicular bisector of the line joining the speakers, would a distant observer hear maximum sound intensity? smallest value ° ° ° ° (b) At what angles (in degrees) would such an observer hear minimum sound intensity? smallest value ° ° ° °
A loudspeaker having a diaphragm that vibrates at 970 HzHz is traveling at 70.0 m/sm/s directly toward a pair of holes in a very large wall in a region for which the speed of sound is 344 m/sm/s. You observe that the sound coming through the openings first cancels at 10.4 ∘∘ with respect to the original direction of the speaker when observed far from the wall. How far apart are the two openings? At what positive angle would the sound first cancel if the source stopped moving?
Underwater illusion. One clue used by your brain to determine the direction of a source of sound is the time delay At between the arrival of the sound at the ear closer to the source and the arrival at the farther ear. Assume that the source is distant so that a wavefront from it is approximately planar when it reaches you, and let D = 0.203 m represent the separation between your ears. (a) If the source is located at angle 0 = 33.0° in front of you (the figure) and the air temperature is 20°C, what is At? (b) If you are submerged in water and the sound source is directly to your right, what is At? (c) Based on the time-delay clue, your brain interprets the submerged sound to arrive at an angle e from the forward direction. Evaluate e for fresh water at 20°C. Assume the speed of sound v in air at 20°C = 343 m/s and the speed of sound v in water at 20°C = 1482 m/s. Wavefronts,
Light 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?
Problem 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.
Two waves, D1(x,t) = A sin (kx - wt + 5n/6) and D2 = A sin (kx - wt + n) are %3D superimposed. The two waves will interfere The amplitude of the superposed wave is times A (where A is the amplitude of the original wave)
the thickness of human hair is to be measured using the interference pattern produced by an air wedge. red light with a wavelength of 638nm is used on an air wedge that is 25.0cm long. If 10 bright fringes are counted across 1.06cm in the air wedge, what is the thickness of the hair
Two small slits are in a thick wall, 27.5 cm apart. A sound source from the behind the wall emits a sound wave toward the wall at a frequency of 2,000 Hz. Assume the speed of sound is 342 m/s. (a) Find the (positive) angle (in degrees) between the central maximum and next maximum of sound intensity. Measure the angle from the perpendicular bisector of the line between the slits. ° (b) The sound source is now replaced by a microwave antenna, emitting microwaves with a wavelength of 2.75 cm. What would the slit separation (in cm) have to be in order to give the same angle between central and next maximum of intensity as found in part (a)? cm (c) The microwave antenna is now replaced by a monochromatic light source. If the slit separation were 1.00 µm, what frequency (in THz) of light would give the same angle between the central and next maximum of light intensity? THz
For testing purposes, a musical instrument manufacturing company creates a device so that when you blow into one end with your instrument, sound comes out the other end in opposite directions. A sound technician uses a whistle and generates sound waves with a frequency of 280 Hz. The waves travel in opposite directions in a sound studio, are reflected by end walls, and return. The studio is 43.0 m long and the whistle is located 14.0 m from one end. What is the phase difference (in degrees) between the reflected waves when they meet at the source of the sound? The speed of sound in air is 343 m/s. 17044.898X See if you can determine the path difference and the wavelength, and then express the path difference in terms of the wavelength. What part of the path difference is of interest to us when finding the phase difference? How is this part of the path difference related to the phase difference? • Need Help? Read It
A 1,720 Hz pure tone is played on a stereo in an open field. A person stands at a point that is 8 m from one of the speakers and 8.4 m from the other. Does the person hear the tone? ( assume the speed of sound is 344 m/s). The path difference of _____ is _____ times the wavelength of the tone, giving ____ interference.
Two loudspeakers are mounted on a rack, one h = 2.74 m above the other. Exactly 8.00 meters to the right of the midpoint, a microphone rests at point O. Point O is equally distant from each loudspeaker. The loudspeakers are driven by the same tone generator and vibrate in phase at 390 Hz. It is possible to create a condition of destructive interference at Point O by changing one or both of the path lengths (r1 and r2) between speaker and microphone. Suppose that this is done by 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.)

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