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 $\lambda$ is the particle velocity equal to two times the wave velocity ?

• A

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

• B

  $\mathrm{\lambda }=2{\mathrm{\pi y}}_0/3$

• C

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

• D

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