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Objective: To understand the principle of superposition and to use it to construct the shape of a resultant wave formed by the interference of two waves.

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Wave Interference

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To Construct or To Destruct? 4 Questions If given two interfering waves, identify locations of constructive and destructive interference.

Pick from among the three activities - To Construct or To Destruct?, Principle of Superposition, and Sum It Up.

Principle of Superposition Completed

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Principle of Superposition 4 Questions Apply the principle of superposition in order to determine the displacement of the medium at a given location.

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Sum It Up Completed

Sum It Up 2 Questions Use the principle of superposition to determine the shape of the resultant wave (or wave sum).

To Construct or To Destruct? Completed

You have done it! You have successfully analyzed each of the situations in the To Construct or To Destruct? activity.

You have done it! You have successfully analyzed each of the situations in the Sum It Up activity.

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You have done it! You have successfully analyzed each of the situations in the Principle of Superposition activity.

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#2

To Construct or To Destruct?

#3

#1

Constructive

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Activity:

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Destructive

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Wave 1 (in Red) and Wave 2 (in Blue) are moving through the same medium and undergoing interference. They have different wavelengths, frequencies, and amplitudes. For the five labeled points, categorize each as being locations where either constructive or descructive interference occurs.

Tap on the buttons below to categorize locations A - E as being locations of constructive or descructive interference.

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Principle of Superposition

Tap on the answer fields to toggle through possible values of displacement.

B:

Wave 1 (in Red) and Wave 2 (in Blue) are undergoing interference. The displacement of the medium at each location depends on the individual displacements of the two waves at that location. For the three labeled locations, determine the nearest estimate of the resulting displacement of the medium. (Each small square is 0.10 m along its edges.)

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C:

Here’s two waves undergoing interference. You have to determine the shape of the resultant wave (or wave sum). To begin, drag each grey dot downward to the height the resultant would have for that horizontal location along the medium.

Sum It Up

Sum It Up