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

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coskxsinω t

k2x2−ω2t2

cos(kx+ω t)

cos(k2x2−ω2t2)

answer is A.

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Detailed Solution

y=coskx sinω t and y=cos(kx+ω t) represent wave motion, because they satisfies the wave equation ∂2y∂t2=v2∂2y∂x2.

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