Q. The equation of a simple harmonic wave is given by y = 3sin$\frac{\mathrm{\pi }}{2}$(50t-x), where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is 

1. 2 $\mathrm{\pi }$
2. 3/2 $\mathrm{\pi }$
3. 3 $\mathrm{\pi }$
4. 2/3 $\mathrm{\pi }$