Superposition and standing waves.

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Stationary waves.

8 Terms

1

What is superposition?

When the displacements of two waves are combined as they pass through each other.

The resultant displacement is the vector sum of each wave’s displacement.

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2

What is constructive interference?

when 2 waves have displacement in the same direction

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3

What is destructive interference?

When one wave has positive displacement and the other has negative displacement

  • if the waves have equal but opposite displacements, total destructive interference occurs

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4

How are stationary waves formed?

  • 2 progressive waves with the same frequency, wavelength and amplitude travelling in opposite directions, superpose onto each other.

  • Where the waves are in phase, they cause constructive interference resulting in an antinode. These are regions of maximum amplitude.

  • Where the waves are in antiphase, they cause destructive interference, resulting in a node. These are regions of zero displacement.

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5

What is the first harmonic?

The lowest frequency at which a stationary wave forms. A stationary wave with two nodes and an antinode. The distance between adjacent nodes (or antinodes) is half a wavelength for any harmonic.

Doubling the frequency of the first harmonic gives the second harmonic, tripling gives the third harmonic and so on…

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6

What is a node on a stationary wave?

A region of zero displacement where there has been destructive interference

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7

What is an antinode on a stationary wave?

A region of maximum amplitude (or displacement) where there has been constructive interference.

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8

What is another name for a stationary wave?

Standing wave

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