The particles in a medium are disturbed by a wave, causing them to move up and down from their rest position. The maximum distance they move represents _____.


A.)the wavelength of a longitudinal wave
B.)the amplitude of a transverse wave***
C.)the amplitude of a longitudinal wave
D.)the wavelength of a transverse wave

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The correct answer is B.) the amplitude of a transverse wave.

To understand why, let's first define a few terms. In a wave, the rest position refers to the equilibrium or undisturbed position of the particles in the medium. The particles in the medium experience displacement from this rest position as the wave passes through.

The amplitude of a wave represents the maximum displacement or maximum distance that the particles move from their rest position when the wave passes through. In other words, it indicates the maximum height or depth of the wave.

In the given question, it states that the particles in a medium are disturbed by a wave, causing them to move up and down from their rest position. This description matches the behavior of a transverse wave, where the particles in the medium move perpendicular (up and down) to the direction of wave propagation.

Therefore, the maximum distance that the particles move from their rest position corresponds to the amplitude of a transverse wave. Hence, option B, "the amplitude of a transverse wave," is the correct answer.