what is a transverse wave?

Answer 1

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The motion in a transverse wave is up and down (as opposed to back and forth or the combo, circular).

Waves do not always contain particles.

For a more thorough description, see
http://thunder.upol.cz/optics/research/n...
http://electron9.phys.utk.edu/optics507/...
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Answer 2

Waves in which particles oscillate in a perpendicular direction to the motion of wave. examples: electromagnetic waves, water ripples