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  • Understanding Wave Amplitude: Effects of Halving
    When the amplitude of a wave is halved, the following happens:

    For all waves:

    * The maximum displacement from equilibrium is reduced by half. This means the wave crests are half as high and the troughs are half as low.

    * The intensity of the wave is reduced by a factor of four. Intensity is proportional to the square of the amplitude, so halving the amplitude reduces the intensity to one-fourth of its original value.

    Specifically for sound waves:

    * The loudness of the sound is decreased. The perceived loudness of sound is related to its intensity, so halving the amplitude would result in a quieter sound.

    Specifically for light waves:

    * The brightness of the light is reduced. The brightness of light is also related to its intensity, so halving the amplitude would result in dimmer light.

    In summary: Halving the amplitude of a wave reduces its maximum displacement, intensity, and perceived loudness or brightness.

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