A plane wave is described by the equation $y = 3\cos \left( {\frac{x}{4} - 10t - \frac{\pi }{2}} \right)$. The maximum velocity of the particles of the medium due to this wave is
A$30$
B$\frac{{3\pi }}{2}$
C$3/4$
D$40$
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A$30$
a (a) ${v_{\max }} = a\omega = 3 \times 10 = 30$
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