In a plane progressive harmonic wave, particle speed is always less than the wave speed, if
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$\mathrm{v}_{\mathrm{P}}<\mathrm{v}$
${\rm{A}}\omega < v\lambda $
$ \Rightarrow {\rm{A}}2\pi v < v\lambda $
$ \Rightarrow {\rm{A}} < \frac{\lambda }{{2\pi }}$
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