Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Which one of the following does not represent a travelling wave
Text Solution
Verified by ExpertsThe correct answer is:
D
To represent a travelling wave, the equation must satisfy the differential equation
$\frac{\partial^2 y}{\partial t^2} = v^2 \frac{\partial^2 y}{\partial x^2} \\ \text{So } \frac{\partial^2 y}{\partial t^2} = \frac{\partial^2 (x^2 - vt^2)}{\partial t^2} = -2v, \\ \text{and } \frac{\partial^2 y}{\partial x^2} = 2$
The given equation does not satisfy the condition of travelling wave.
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