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Waves

Stationary waves on strings and in air columns

  • 3 things to know
  • Papers 2 and 3

Overview

Recall questions on setting up stationary waves on a stretched string and in air columns, boundary conditions, and the node and antinode patterns of the fundamental, second and nth harmonics of a string.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

State the relationship between string length and wavelength for the second harmonic of a stretched string.

Key term

What boundary condition applies to a stretched string used to demonstrate stationary waves?

Key term

How is a stretched string driven to produce stationary waves?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What boundary condition applies to a stretched string used to demonstrate stationary waves?

    Model answer

    The string is fixed at both ends.

  2. 2

    How is a stretched string driven to produce stationary waves?

    Model answer

    A mechanical vibrator or tuning fork drives one end of the string.

  3. 3

    What happens to waves travelling along a stretched string fixed at both ends?

    Model answer

    Waves reflect at the fixed ends.

  4. 4

    Under what condition do stable stationary wave patterns form on a stretched string?

    Model answer

    At resonant frequencies, stable stationary wave patterns form.

  5. 5

    How can stationary waves be demonstrated in air columns?

    Model answer

    Using resonance tubes where sound waves reflect at closed or open ends.

  6. 6

    Why must nodes occur at both ends of a stretched string fixed at both ends?

    Model answer

    Because the fixed ends cannot move, so the displacement must always be zero at these points.

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