wave_mechanics critical_thinking Question 44
Question: The displacement of a particle in string stretched in X direction is represented by y. Among the following expressions for y, those describing wave motions are
[IIT 1987]
Options:
A) $ \cos kx\sin \omega t $
B) $ k^{2}x^{2}-{{\omega }^{2}}t^{2} $
C) $ \cos (kx+\omega t) $
D) $ \cos (k^{2}x^{2}-{{\omega }^{2}}t^{2}) $
Show Answer
Answer:
Correct Answer: C
Solution:
$ y=\cos kx\sin \omega t $ and $ y=\cos (kx+\omega t) $ represent wave motion, because they satisfies the wave equation $ \frac{{{\partial }^{2}}}{\partial t^{2}}=v^{2}\frac{{{\partial }^{2}}y}{\partial x^{2}} $ .
BETA
