Question

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 = $2\sqrt{x-vt}$
(c) y = 3 sin (5x - 0.5t) + 4 cos (5x - 0.5t)
(d) y = cos x sint + cos 2x sin 2t

Answer 1

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\sqrt{x-vt},

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

(d) y = cos x sint + cos 2x sin 2t

Answer:

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y = cos x sint + cos 2x sin 2t