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Wave Properties

The principle of superposition

  • 3 things to know
  • Component 3

Overview

Principle of superposition, resultant displacement when two crests of equal amplitude meet and resultant when a crest meets a trough of equal amplitude.

What you need to know

Answer each one before you reveal it.

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Key term

What is the resultant displacement when two crests of equal amplitude meet?

Key term

What is the resultant when a crest meets a trough of equal amplitude?

Key term

What happens to the two waves after they have passed through one another?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the principle of superposition.

    Model answer

    When two or more waves meet at a point, the resultant displacement is the vector sum of the individual displacements at that point.

  2. 2

    What is the resultant displacement when two crests of equal amplitude meet?

    Model answer

    A crest of twice the amplitude, since the two displacements add.

  3. 3

    What is the resultant when a crest meets a trough of equal amplitude?

    Model answer

    Zero displacement at that point, since the two displacements are equal and opposite.

  4. 4

    What name is given to the case where the waves reinforce?

    Model answer

    Constructive interference.

  5. 5

    What name is given to the case where the waves cancel?

    Model answer

    Destructive interference.

  6. 6

    What happens to the two waves after they have passed through one another?

    Model answer

    Each continues unchanged in amplitude, wavelength and direction, as though the other had never been there.

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