Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all:
(a) y = 2 cos (3x) sin (10t)
(b)
(c) y = 3 sin (5x – 0.5t) + 4 cos (5x – 0.5t)
(d) y = cos x sin t + cos 2x sin 2t
(a) It represents a stationary wave.
(b) It doesn’t represent either a travelling wave or a stationery wave.
(c) It is a representation for the travelling wave.
(d) It represents the superposition of two stationery waves.