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Chapter 17: Q. 12 (page 483)
A carbon dioxide laser is an infrared laser. A CO2 laser with a cavity length of 53.00 cm oscillates in the m = 100,000 mode. What are the wavelength and frequency of the laser beam?
The wavelength of the laser beam is .
The frequency of the laser beam is.
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Piano tuners tune pianos by listening to the beats between the
harmonics of two different strings. When properly tuned, the note
A should have a frequency of 440 Hz and the note E should be
at 659 Hz.
a. What is the frequency difference between the third harmonic
of the A and the second harmonic of the E?
b. A tuner first tunes the A string very precisely by matching it to
a 440 Hz tuning fork. She then strikes the A and E strings simultaneously
and listens for beats between the harmonics. What
beat frequency indicates that the E string is properly tuned?
c. The tuner starts with the tension in the E string a little low,
then tightens it. What is the frequency of the E string when
she hears four beats per second?
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Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears a maximum sound intensity when speaker 2 is at the origin and speaker 1 is at x = 0.50 m. If speaker 1 is slowly moved forward, the sound intensity decreases and then increases, reaching another maximum when speaker 1 is at x = 0.90 m.
a. What is the frequency of the sound? Assume vsound = 340 m/s.
b. What is the phase difference between the speakers?
The 40-cm-long tube of FIGURE P17.54 has a 40-cm-long insert
that can be pulled in and out. A vibrating tuning fork is held next to the
tube. As the insert is slowly pulled out, the sound from the tuning fork
creates standing waves in the tube when the total length L is 42.5 cm, 56.7 cm, and 70.9 cm. What is the frequency of the tuning fork? Assume vsound = 343 m/s.
When mass M is tied to the bottom of a long, thin wire suspended
from the ceiling, the wire’s 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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