When a sound wave of wavelength $\lambda$ is propagating in a medium, the maximum velocity of the particle…

When a sound wave of wavelength $\lambda$ is propagating in a medium, the maximum velocity of the particle is equal to the wave velocity. The amplitude of wave is
  1. $\lambda$
  2. $\frac{\lambda}{2}$
  3. $\frac{\lambda}{2 \pi}$
  4. $\frac{\lambda}{4 \pi}$

Solution

$\begin{aligned} & v_{\max }=v \\ & \Rightarrow \quad A \omega=v \\ & \Rightarrow \quad A \times 2 \pi v=v \lambda \\ & A=\frac{\lambda}{2 \pi} \\ & \end{aligned}$

Asked in: AP EAMCET 2008

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