已知非零向量 $\stackrel{\rightharpoonup }{a},\stackrel{\rightharpoonup }{b}$满足 $\left|\stackrel{\rightharpoonup }{b}\right|=4\left|\stackrel{\rightharpoonup }{a}\right|$,且 $\stackrel{\rightharpoonup }{a}\perp (2\stackrel{\rightharpoonup }{a}+\stackrel{\rightharpoonup }{b})$,则 $\stackrel{\rightharpoonup }{a}与\stackrel{\rightharpoonup }{b}$的夹角为（）

A．

$\frac{\pi }{3}$

B．

$\frac{\pi }{2}$

C．

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

D．

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