Discussion
Which of the following is not Dispersive wave ?
Answer: C
The non-dispersive wave is the shallow water gravity wave.
A wave is dispersive when its speed depends on its wavelength. In shallow water the speed of a gravity wave is
\[ c = \sqrt{g h} \]
which depends only on depth, so all wavelengths travel together; tsunamis are the classic example.
Deep-water gravity waves travel at \(c = \sqrt{g\lambda/2\pi}\), so long waves outrun short ones. Rossby waves (printed Russby) and inertia (inertia-gravity) waves also have speeds that depend on wavelength, so they are dispersive.
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