A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10 cm/s. The wavelength of the waveis 0.5 m and its amplitude is 10 cm. At a particular time t, the snap-shot of the wave is shown in figure. The velocity of point P when its displacement is 5 cm is

A

$$\frac{\sqrt{3}\pi}{50}\hat{j}$$ m/s

B

$$-\frac{\sqrt{3}\pi}{50}\hat{j}$$ m/s

C

$$\frac{\sqrt{3}\pi}{50}\hat{i}$$ m/s

D

$$-\frac{\sqrt{3}\pi}{50}\hat{i}$$ m/s