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Chapter 16 Test
Chapter 16 Test
1. Two speakers emitting identical 248 Hz tones are placed on a line a distance LaTeX: \Delta x away from each other and pointed in the same direction. As you walk along this line away from the pair of speakers (both are behind you and pointed in your direction), you don’t hear anything even though the speakers are both producing sound. This is true no matter how far away you are from the nearest speaker. After some experimentation, you find that there are multiple separations between the pair of speakers, LaTeX: \Delta x, that give rise to this same phenomena where no sound is heard along the line despite the fact that both speakers are working.
What is the smallest value of LaTeX: \Delta x? Assume that the speed of sound for the temperature of the air surrounding the speakers is 320 m/s.
Give your answer in meters rounded to a reasonable number of significant figures. Assume that the given frequency and wave speed have a precision of three significant figures. Do NOT enter the units into the answer box.
2. Two speakers emitting identical 159 Hz tones are placed on a line a distance LaTeX: \Delta x away from each other and pointed in the same direction. As you walk along this line away from the pair of speakers (both are behind you and pointed in your direction), you don’t hear anything even though the speakers are both producing sound. This is true no matter how far away you are from the nearest speaker. After some experimentation, you find that there are multiple separations between the pair of speakers, LaTeX: \Delta x, that give rise to this same phenomena where no sound is heard along the line despite the fact that both speakers are working.
What is the second smallest value of LaTeX: \Delta x? To be clear, I’m not asking for the smallest value—I’d like to know what the next smallest value is after that smallest value. Assume that the speed of sound for the temperature of the air surrounding the speakers is 349 m/s.
Give your answer in meters rounded to a reasonable number of significant figures. Assume that the given frequency and wave speed have a precision of three significant figures. Do NOT enter the units into the answer box.