Sound WavesHard
Question
The displacement of particles in a string stretched in the x-direction is represented by y. Among the following expressions for y, those describing wave motion are : -
Options
A.cos kx sinωt
B.k2x2 - ω2t2
C.cos2(kx + ωt)
D.cos(k2x2 - ω2t2)
Solution
y1 = cos kx sin ωt =
[sin (ωt + kx) + sin (ωt - kx)]
(Stationary Wave)
y3 = cos2(kα + ωt) =
[1 + cos (kx + ωt)]
(Progressive Wave)
[sin (ωt + kx) + sin (ωt - kx)](Stationary Wave)
y3 = cos2(kα + ωt) =
[1 + cos (kx + ωt)](Progressive Wave)
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