A transverse wave is represented by the equation
     $\mathrm{y} = {\mathrm{y}}_0\sin \frac{2\mathrm{\pi }}{\mathrm{\lambda }}(\mathrm{vt}-\mathrm{x})$
For what value of $\lambda$, the maximum particle velocity equal to two times the wave velocity?

• A

  $\mathrm{\lambda } = 2{\mathrm{\pi y}}_0$

• B

  $\mathrm{\lambda } = \frac{{\mathrm{\pi y}}_0}{3}$

• C

  $\mathrm{\lambda } = \frac{{\mathrm{\pi y}}_0}{2}$

• D

  $\mathrm{\lambda } = {\mathrm{\pi y}}_0$