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in Physics by (62.4k points)

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) y = 2√{x - vt}

(c) y = 3 sin (5x - 0.5t) + 4 cos (5x - 0.5t)

(d) yt = cos x sin t + cos 2x sin 2t

1 Answer

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Best answer

(a) It represents a stationary wave.

(b) It does not represent either a stationary wave or a travelling wave.

(c) It represents a travelling wave.

(d) It is a superposition of two stationary waves.

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