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Chapter 17: Q.41 (page 485)
A violinist places her finger so that the vibrating section of a 1.0 g/m string has a length of 30 cm, then she draws her bow across it. A listener nearby in a 20°C room hears a note with a wavelength of 40 cm. What is the tension in the string?
The tension in the string is 265 N
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Two loudspeakers emit 400 Hz notes. One speaker sits on the
ground. The other speaker is in the back of a pickup truck. You
hear eight beats per second as the truck drives away from you.
What is the truck’s speed?
Two microwave signals of nearly equal wavelengths can generate a beat frequency if both are directed onto the same microwave detector. In an experiment, the beat frequency is 100 MHz. One microwave generator is set to emit microwaves with a wavelength of 1.250 cm. If the second generator emits a longer wavelength, what is that wavelength?
Noise-canceling headphones are an application of destructive
interference. Each side of the headphones uses a microphone to
pick up noise, delays it slightly, then rebroadcasts the noise next
to your ear where it can interfere with the incoming sound wave
of the noise. Suppose you are sitting 1.8 m from an annoying,
110 Hz buzzing sound. What is the minimum headphone delay, in
ms, that will cancel this noise?
The two highest-pitch strings on a violin are tuned to 440 Hz (the A string) and 659 Hz (the E string). What is the ratio of the mass of the A string to that of the E string? Violin strings are all the same length and under essentially the same tension.
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.
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