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Question

The displacement, y of a particle on a straight line is given by y=f(x,t), as a function of time. Which of the following functions does not represent wave motion?

A
y=Asin(kxωt)
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B
y=Asin2(kxωt)
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C
y=Asin(k2x2ω2t2)
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D
y=Asin(kx+ωt+π10)
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Solution

The correct option is C y=Asin(k2x2ω2t2)
The displacement (y) represented as function of x and t of type (ax±bt) represent a wave function.
y(x,t)=f(ax±bt)
If any function is represented by non-linear terms of x or t or both, it does not represent a wave.
y=Asin(k2x2ω2t2) does not represent a wave motion.
Hence, option (c) is correct answer.

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