AP Physics Chapter 16 Study Guide
Superposition and Standing Waves

The Principle of Superposition

Principle of Superposition - When two or more waves are simultaneously present at a single point in space, the displacement of the medium at that point is the sum of the displacements due to each individual wave.

superposition

superposition

 

Constructive and Destructive Interference

destructive

 

Standing Waves

Standing Wave - A standing wave, also known as a stationary wave, is a wave that remains in a constant position. This phenomenon can occur because the medium is moving in the opposite direction to the wave, or it can arise in a stationary medium as a result of interference between two waves traveling in opposite directions.

 

standing wave

 

standing wave

standing wavestanding wave

 

Nodes and Antinodes

nodes

 

Standing Waves on a String

Reflections

reflection

 

Interactions at Boundaries

boundary

 

boundary

 

Creating a Standing Wave

standing wave

 

When can standing waves happen in a string tied at both ends?

standing wave

 

standing wave

 

Standing Sound Waves

standing

standing

 

Pipe Open at both Ends (open-open)

open open

 

Pipe Closed at both ends (closed-closed)

closed closed

 

Pipe Open at one end and closed at the other (open-closed)

open closed

 

standing waves

 

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The Interference of Waves from Two Sources

Path-Length Difference - path difference

interference

Two waves will be in phase and will produce constructive interference any time their path-length difference is a whole number of wavelengths.

 

interference

Two waves will be out of phase and will produce destructive interference any time their path-length difference is a whole number of wavelengths plus half a wavelength.

 

Interference of Spherical Waves

spherical wave

 

spherical waves

 

tactics box

 

Beats

beats

 

Beats

 

beats