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The displacement of partcles in a string...

The displacement of partcles in a string streched in the x-direction is by `y`. Among the following expressions for `y`, those describing wave motion are :

A

`cos kx sin omega t`

B

`k^(2) x^(2) - omega^(2) t^(2)`

C

`cos^(2) (kx +omega t)`

D

`cos(k^(2) x^(2) - omega^(2)t^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
`y_(1)=cos kx omega t=(1)/(2)[sin (omega t +kx)+sin(omega t-kx)]`
(Stationary Wave)
`y_(3)=cos^(2)(kalpha+omegat)=(1)/(2)[1+cos2(kx+omegat)]`
(Progressive Wave).
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