Let $$w=\frac{\sqrt{3}+i}{2}$$ and $$p={{w^{n}}:n=1,2,3,...}$$. Further $$H_{1}= \left\{Z\epsilon C : Rez>\frac{1}{2}\right\}$$ and $$H_{2}= \left\{Z\epsilon C : Rez<\frac{-1}{2}\right\}$$ where C is the set of all complex numbers. If $$Z_{1}\epsilon P \cap H_{1}$$, $$Z_{2}\epsilon P \cap H_{2}$$ and O represents the origin, then $$\angle z_{1}Oz_{2}=$$

A

$$\frac{\pi}{2}$$

B

$$\frac{\pi}{6}$$

C

$$\frac{2\pi}{3}$$

D

$$\frac{5\pi}{6}$$