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Chapter 17: Q. 76 (page 487)
Two radio antennas are separated by 2.0 m. Both broadcast
identical 750 MHz waves. If you walk around the antennas in a
circle of radius 10 m, how many maxima will you detect?
The solution gives two radio antennas are separated by 2.0 m. Both broadcast
identical 750 MHz waves
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Biologists think that some spiders “tune” strands of their web to give an enhanced response at frequencies corresponding to those at which desirable prey might struggle. Orb spider web silk has a typical diameter of 20 µm, and spider silk has a density of 1300 kg/m3. To have a fundamental frequency at 100 Hz, to what tension must a spider adjust a 12-cm-long strand of silk?
Two loudspeakers in a room emit 686 Hz sound waves
along the x-axis.
a. If the speakers are in phase, what is the smallest distance between the speakers for which the interference of the sound
waves is maximum destructive?
b. If the speakers are out of phase, what is the smallest distance
between the speakers for which the interference of the sound
waves is maximum constructive?
A 25-cm-long wire with a linear density of 20 g/m passes across the open end of an 85-cm-long open-closed tube of air. If the wire, which is fixed at both ends, vibrates at its fundamental frequency, the sound wave it generates excites the second vibrational mode of the tube of air. What is the tension in the wire? Assume vsound = 340 m/s.
A soap bubble is essentially a very thin film of water 1n = 1.332 surrounded by air. The colors that you see in soap bubbles are produced by interference.
a. Derive an expression for the wavelengths lC for which constructive interference causes a strong reflection from a soap bubble of thickness d. Hint: Think about the reflection phase shifts at both boundaries.
b. What visible wavelengths of light are strongly reflected from a 390-nm-thick soap bubble? What color would such a soap bubble appear to be?
FIGURE EX17.1 is a snapshot graph at t = 0 s of two waves approaching each other at 1.0 m/s. Draw six snapshot graphs, stacked vertically, showing the string at 1 s intervals from t = 1 s to t = 6 s
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