A transverse wave is represented by the equation $y={y}_{0}\mathrm{sin}\frac{2\pi }{\lambda }\left(vt-x\right)$

For what value of λ, the maximum particle velocity equal to two times the wave velocity  ?

(1) $\lambda =2\pi {y}_{0}$

(2) $\lambda =\pi {y}_{0}/3$

(3) $\lambda =\pi {y}_{0}/2$

(4) $\lambda =\pi {y}_{0}$

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