The Principle of Linear Superposition and Interference Phenomena

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CHAPTER 17. The Principle of Linear Superposition and Interference Phenomena. Interference Constructive and Destructive Interference: BEATS Standing Waves: Transverse-Stringed Instruments and Longitudinal-Wind Instruments. Diffraction Speakers. Beats with tuning forks.

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CHAPTER 17

### The Principle of Linear Superposition and Interference Phenomena

Interference

Constructive and Destructive Interference: BEATS

Standing Waves:

Transverse-Stringed Instruments

and

Longitudinal-Wind Instruments.

Diffraction

Speakers

Simulation of Beats

http://www3.interscience.wiley.com:8100/legacy/college/cutnell/0471151831/concepts/index.htm

Beat Wave Pattern

A 10-Hz soundwave 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.

17.4 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.

17.5 Transverse Standing Waves

A standing wave is an interference effect that can occur when two waves overlap.

17.5 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 longitudinalsound waves, such as those in a flute.

17.5 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 longitudinalsound 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.

Simulation of Standing waves

http://www3.interscience.wiley.com:8100/legacy/college/cutnell/0471151831/concepts/index.htm

Problem-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)?