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=2cos(3x)sin(10t)` (b) `y=2sqrt(x-vt)`
(c) `y=3sin(5x=-0.5t)+4cos(5x-0.5t)` (d) `y=cosx sint +cos2x sin2t`

Explanation

(a) It represents a stationary wave as harmonic functions of x and t are contained separately in the equation.
(b) It cannot represent any type of wave.
(c) It represents a progressive`//` travelling harmonic wave.
(d) This equation is sum of two function each representing a stationary wave. Therefore, it represents superposition of two stationary waves.