Given below are some functions of x and ...

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`

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Verified by Experts

The correct Answer is:

(a) Stationary wave
(b) Unacceptable function for any wave.
(c) Travelling harmonic wave
(d) Superposition of two stationary waves.]

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