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Chapter 16: Q. 6 (page 450)
A sound wave with wavelength and frequency moves into a new medium in which the speed of sound is . What are the new wavelength and frequency ? Explain
The new wavelength of the new wave isand the new frequency of the new wave is.
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A wave pulse travels along a stretched string at a speed of 200 cm/s. What will be the speed if:
a. The string鈥檚 tension is doubled?
b. The string鈥檚 mass is quadrupled (but its length is unchanged)?
c. The string鈥檚 length is quadrupled (but its mass is unchanged)?
Note: Each part is independent and refers to changes made to the original string
Earthquakes are essentially sound waves鈥攃alled seismic
waves鈥攖raveling through the earth. Because the earth is solid, it can support both longitudinal and transverse seismic waves. The speed of longitudinal waves, called P waves, is 8000 m/s. Transverse waves, called S waves, travel at a slower 4500 m/s. A seismograph records the two waves from a distant earthquake. If the S wave arrives 2.0 min after the P wave, how far away was the earthquake? You can assume that the waves travel in straight lines, although actual seismic waves follow more complex routes.
A loudspeaker on a pole is radiating 100 W of sound energy in all directions. You are walking directly toward the speaker at 0.80 m/s. When you are 20 m away, what are (a) the sound intensity level and (b) the rate (dB/s) at which the sound intensity level is increasing? Hint: Use the chain rule and the relationship log10 x = ln x/ln 10.
The G string on a guitar is a 0.46-mm-diameter steel string
with a linear density of 1.3 g/m. When the string is properly
tuned to 196 Hz, the wave speed on the string is 250 m/s. Tuning
is done by turning the tuning screw, which slowly tightens鈥攁nd
stretches鈥攖he string. By how many mm does a 75-cm-long G
string stretch when it鈥檚 first tuned?
The wave speed on a string under tension is 200 m/s. What is the speed if the tension is halved?
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