Which of the following statements are false? (a) In a transverse wave the particle motion is perpendicular to the velocity vector of the wave. (b) Not all waves are mechanical in nature. (c) The speed of a wave and the speed of the vibrating particles that constitute the wave are different entities. (d) Waves transport energy and matter from one region to another. (e) A wave in which particles move back and forth in the same direction as the wave is moving is called a longitudinal wave.