Physics

Problem

14.13 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 (3 x) \sin (10 t)

(b)

y=2 \sqrt{x-v t}

(c)

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

(d)

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

(a)

y=2 \cos (3 x) \sin (10 t)

(b)

y=2 \sqrt{x-v t}

(c)

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

(d)

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

Browse the problem library