The more rigid (or less compressible) the medium, the faster the speed of sound. At what minimum angle relative to the centerline perpendicular to the doorway will someone outside the room hear. Sound with frequency 1240 Hz leaves a room through a doorway with a width of 1.04 mm. The speed of sound in a medium is determined by a combination of the medium’s rigidity (or compressibility in gases) and its density. Use 344 m/s for the speed of sound in air and assume that the source and listener are both far enough from the doorway for Fraunhofer diffraction. size 12 about three times smaller than the width of the doorway.\) makes it apparent that the speed of sound varies greatly in different media. Each point on the wavefront emits a semicircular wave that moves at the propagation speed v. Doorway Diffraction Sound of frequency 1250Hz leaves a room through a 1.0 D-m-wide doorway (see Exercise 36.5). A wavefront is the long edge that moves, for example, the crest or the trough. Sound with a frequency of 1230 Hz leaves a room through a doorway with a width of 1.05 m. The new wavefront is a line tangent to all of the wavelets.įigure 10.5 shows how Huygens’s principle is applied. Starting from some known position, Huygens’s principle states that every point on a wavefront is a source of wavelets that spread out in the forward direction at the same speed as the wave itself. Sound with frequency 1200 Hz leaves a room through a doorway with a width of 1.11 m. The Dutch scientist Christiaan Huygens (1629–1695) developed a useful technique for determining in detail how and where waves propagate. Use 344 m/s for the speed of sound in air and assume that the source and listener are both far enough from the doorway for Fraunhofer diffraction. The direction of propagation is perpendicular to the wavefronts, or wave crests, and is represented by an arrow like a ray. Sound with a frequency 650 Hz from a distant source passes through a doorway 1.10m wide in a soundabsorbing wall. The view from above is perhaps the most useful in developing concepts about wave optics.įigure 10.4 A transverse wave, such as an electromagnetic wave like light, as viewed from above and from the side. At what minimum angle relative to the centerline perpendicular to the doorway will someone outside the room hear no sound Use 344 m/s for the speed of sound in air and assume tht the source and listener are both far. (Assume the speed of sound is 343 m/s. Sound with frequency 1220 Hz leaves a room through a doorway with a width of 1.10 m. The sound waves pass through the w 1.18 m-wide doorway. The side view would be a graph of the electric or magnetic field. A steady sound with a frequency of f 700 Hz is produced by a source located far from an open doorway set in a sound-absorbing wall. From above, we view the wavefronts, or wave crests, as we would by looking down on the ocean waves. At what minimum angle relative to the centerline perpendicular to the doorway will someone outside the room. Sound with frequency 1220 Hz leaves a room through a doorway with a width of 1.15 m. Sound with a frequency 680 Hz from a distant source passes through a doorway 1.23 m wide in a sound-absorbing wall. Use 344 m/s for the speed of sound in air and assume that the source and listener are both far enough from the doorway for Fraunhofer diffraction to. Find the diffraction angle when the frequency of the sound is (a) 5.0 kHz and (b) 5.0 times 102 Hz. Find the number and angular directions of the diffraction minima at listening positions along a line parallel to the wall. The width of the doorway is 81.9 cm, and the speed of sound is 343 m/s. A light wave can be imagined to propagate like this, although we do not actually see it wiggling through space. Sound with a frequency 650 HZ from a distant source passes through a doorway 1.10 m wide in a sound absorbing wall. 6.4, 7.2)įigure 10.4 shows how a transverse wave looks as viewed from above and from the side. Sound with frequency 1260 Hz leaves a room through a doorway with a width of 1.00 m. At which angles relative to the centerline perpendicular to the doorway will someone. 6.C.4.1 The student is able to predict and explain, using representations and models, the ability or inability of waves to transfer energy around corners and behind obstacles in terms of the diffraction property of waves in situations involving various kinds of wave phenomena, including sound and light. Doorway Diffraction Sound of frequency 1250Hz leaves a room through a 1.0 D-m-wide doorway (see Exercise 36.5).The information presented in this section supports the following AP® learning objectives and science practices: Discuss the propagation of transverse waves.By the end of this section, you will be able to do the following:
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