For a wave $y = y_0 \sin (wt - kx)$, for what value of $\lambda$ is the maximum particle velocity equal to two times the wave velocity :

Question

$\begin{array}{1 1} (1)\; \pi y_0 \\ (2)\; 2 \pi y_0 \\ (3)\; \frac{\pi y_0}{2} \\ (d)\; 4 \pi y_0 \end{array}$