transverse waves can propagate in
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Solids are not like that; they are rigid. The particles in transverse waves move perpendicularly to the direction of propagation so it cannot propagate in a gas or a liquid because there is no mechanism for driving motion perpendicular to the propagation of the wave.
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A transverse wave is a moving wave that consists of oscillations occurring perpendicular to the direction of energy transfer. If a transverse wave is moving in the positive x-direction, its oscillations are in up and down directions that lie in the y–z plane.
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