Question

A plane wave is described by the equation $y=3cos\left(\begin{array}{c}\frac{x}{4}-10t-\frac{\pi }{2}\end{array}\right)$. 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. $40$

Answer 1

The correct option is A $30$

Maximum Velocity$\left(v_{max}\right)=Amplitude\times Angular$ $Frequency=A\times \omega$

$Amplitude=3m$ $\omega =10rad{s}^{-1}$

$\Rightarrow v_{max}=3\times 10=30m{s}^{-1}$