question_answer

A transverse wave is represented by the equation \[y={{y}_{0}}\sin \frac{2\pi }{\lambda }(vt-k)\] For what value of \[\lambda \] is the particle velocity equal to two times the wave velocity.

A)  \[\lambda =\pi {{y}_{0}}\]                          

B)  \[\lambda =\frac{\pi {{y}_{0}}}{2}\]

C)  \[\lambda =\frac{\pi {{y}_{0}}}{3}\]       

D)         \[\lambda =\frac{2\pi }{{{y}_{0}}}\]