A transverse wave is described by the equation $\mathrm{Y} = {\mathrm{Y}}_{\mathrm{o}} \sin 2\mathrm{\pi }(\mathrm{ft}-\frac{\mathrm{x}}{\mathrm{\lambda }})$. The maximum particle velocity is four times the wave velocity if

• A

  $\mathrm{\lambda } = \frac{{\mathrm{\pi Y}}_0}{4}$

• B

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

• C

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

• D

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