1.

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]

A.            \[\cos kx\sin \omega \,t\]     
B.            \[{{k}^{2}}{{x}^{2}}-{{\omega }^{2}}{{t}^{2}}\]
C.            \[\cos (kx+\omega \,t)\]
D.            \[\cos ({{k}^{2}}{{x}^{2}}-{{\omega }^{2}}{{t}^{2}})\]
Answer» D.            \[\cos ({{k}^{2}}{{x}^{2}}-{{\omega }^{2}}{{t}^{2}})\]


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