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Chapter 17: Q. 37 (page 484)
A string vibrates at its third-harmonic frequency. The amplitude at a point 30 cm from one end is half the maximum amplitude. How long is the string?
The length of the string is 5.40 m
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Analyze the standing sound waves in an open-closed tube to show that the possible wavelengths and frequencies are given by Equation 17.18.
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 sheet of glass is coated with a 500-nm-thick layer of oil 1n = 1.422.
a. For what visible wavelengths of light do the reflected waves interfere constructively?
b. For what visible wavelengths of light do the reflected waves interfere destructively?
c. What is the color of reflected light? What is the color of transmitted light?
A bass clarinet can be modeled as a 120-cm-long open-closed tube. A bass clarinet player starts playing in a 20掳C room, but soon the air inside the clarinet warms to where the speed of sound is 352 m/s. Does the fundamental frequency increase or decrease? By how much?
When mass M is tied to the bottom of a long, thin wire suspended
from the ceiling, the wire鈥檚 second-harmonic frequency is
200 Hz. Adding an additional 1.0 kg to the hanging mass increases
the second-harmonic frequency to 245 Hz. What is M?
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