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Chapter 17: Q. 49 (page 485)
The two strings in FIGURE P17.49 are of equal length and are being driven at equal frequencies. The linear density of the left string is 5.0 g/m. What is the linear density of the right string?
The linear density of the right string is
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Deep-sea divers often breathe a mixture of helium and oxygen to avoid getting the 鈥渂ends鈥� from breathing high-pressure nitrogen. The helium has the side effect of making the divers鈥� voices sound odd. Although your vocal tract can be roughly described as an open-closed tube, the way you hold your mouth and position your lips greatly affects the standing-wave frequencies of the vocal tract. This is what allows different vowels to sound different. The 鈥渆e鈥� sound is made by shaping your vocal tract to have standing- wave frequencies at, normally, 270 Hz and 2300 Hz. What will these frequencies be for a helium-oxygen mixture in which the speed of sound at body temperature is 750 m/s? The speed of sound in air at body temperature is 350 m/s.
An organ pipe is tuned to exactly 384 Hz when the room temperature is 20掳C. If the room temperature later increases to 22掳C, does the pipe鈥檚 frequency increase, decrease, or stay the same? Explain.
A flute filled with helium will, until the helium escapes, play notes at a much higher pitch than normal. Why?
Two loudspeakers in a plane, 5.0 m apart, are playing the same frequency. If you stand 12.0 m in front of the plane of the speakers, centered between them, you hear a sound of maximum intensity. As you walk parallel to the plane of the speakers, staying 12.0 m in front of them, you first hear a minimum of sound intensity when you are directly in front of one of the speakers. What is the frequency of the sound? Assume a sound speed of 340 m/s.
Two in-phase speakers 2.0 m apart in a plane are emitting 1800 Hz sound waves into a room where the speed of sound is 340 m/s. Is the point 4.0 m in front of one of the speakers, perpendicular to the plane of the speakers, a point of maximum constructive interference, maximum destructive interference, or something in between?
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