question_answer

A simple harmonic wave is represented by the equation \[y\,\,(x,t)\,\,{{a}_{0}}\,\,\sin \,2\pi \,\,\left( \upsilon t-\frac{x}{\lambda } \right)\]. If the maximum particle velocity is three times the wave velocity, the wavelength A, of the wave is:

A)  \[\frac{\pi {{a}_{0}}}{3}\]                  

B)  \[\frac{2\pi {{a}_{0}}}{3}\]

C)  \[\pi {{a}_{0}}\]                                               

D)  \[\frac{\pi {{a}_{0}}}{2}\]