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Chapter 17: Q. 45 (page 485)
A metal wire under tension T0 vibrates at its fundamental
frequency. For what tension will the second-harmonic frequency
be the same as the fundamental frequency at tension ?
The tension will be
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Scientists are testing a transparent material whose index of refraction for visible light varies with wavelength as n = 30.0 nm1/2 /l1/2, where l is in nm. If a 295-nm-thick coating is placed on glass 1n = 1.502 for what visible wavelengths will the reflected light have maximum constructive interference?
A 280 Hz sound wave is
directed into one end of the
trombone slide seen in FIGURE
CP17.77. A microphone
is placed at the other end to
record the intensity of sound
waves that are transmitted
through the tube. The straight
sides of the slide are 80 cm in length and 10 cm apart with a
semicircular bend at the end. For what slide extensions s will the
microphone detect a maximum of sound intensity?
Traditional Indonesian music uses an ensemble called a gamelan that is based on tuned percussion instruments somewhat like gongs. In Bali, the gongs are often grouped in pairs that are slightly out of tune with each other. When both are played at once, the beat frequency lends a distinctive vibrating quality to the music. Suppose a pair of gongs are tuned to produce notes at 151 Hz and 155 Hz. How many beats are heard if the gongs are struck together and both ring for 2.5 s?
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?
A steel wire is used to stretch the spring of FIGURE P17.42. An oscillating magnetic field drives the steel wire back and forth. A standing wave with three antinodes is created when the spring is stretched 8.0 cm. What stretch of the spring produces a standing wave with two antinodes?
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