Title: The Principle of Linear Superposition and Interference Phenomena
1The Principle of Linear Superposition and
Interference Phenomena
CHAPTER 17
Interference Constructive and Destructive
Interference BEATS Standing Waves Transverse-St
ringed Instruments and Longitudinal-Wind
Instruments. Diffraction Speakers
2Beats with tuning forks
3Simulation of Beats
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4Beat Wave Pattern
A 10-Hz sound wave and a 12-Hz sound wave, when
added together, produce a wave with a beat
frequency of 2 Hz. The drawings show the pressure
patterns (in blue) of the individual waves and
the pressure pattern (in red) that results when
the two overlap.
517.4Â Beats
617.4Â Beats
Musical instruments are tuned by listening to the
beat frequency. For instance, a piano tuner
listens to the beats produced between the string
and a source with the correct frequency. The
piano tuner adjusts the tension in the string
until the beats vanish, ensuring that the string
is vibrating at the correct frequency.
717.5Â Transverse Standing Waves
817.5Â Transverse Standing Waves
A standing wave is an interference effect that
can occur when two waves overlap.
917.5Â Transverse Standing Waves
A standing wave is an interference effect that
can occur when two waves overlap. Standing
waves can arise with transverse waves, such as
those on a guitar string, and also with
longitudinal sound waves, such as those in a
flute.
1017.5Â Transverse Standing Waves
A standing wave is an interference effect that
can occur when two waves overlap. Standing
waves can arise with transverse waves, such as
those on a guitar string, and also with
longitudinal sound waves, such as those in a
flute. In any case, the principle of linear
superposition provides an explanation of the
effect, just as it does for diffraction and
beats.
11Simulation of Standing waves
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12Standing wave patterns
13Problem-25
The G string on a guitar has a fundamental
frequency of 196 Hz and a length of 0.62 m. This
string is pressed against the proper fret to
produce the note C, whose fundamental frequency
is 262 Hz. What is the distance L between the
fret and the end of the string at the bridge of
the guitar (see Figure 17.20b)?