Underwater illusion. One clue used by your brain to

Chapter , Problem 10

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Underwater illusion. One clue used by your brain to determine the direction of a source of sound is the time delay %t 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 represent the separation between your ears. (a) If the source is located at angle u in front of you (Fig. 17-31), what is in terms of D and the speed of sound v in air? (b) If you are submerged in water and the sound source is directly to your right, what is %t in terms of D and the speed of sound vw in water? (c) Based on the time-delay clue, your brain interprets the submerged sound to arrive at an angle u from the forward direction. Evaluate u for fresh water at 20- C. . L D R d Wavefronts Figure 17-31 10