A cantilever beam AB of length L and uniform flexural rigidity EI has a bracket AC attached to its free end shown in Fig. Vertical load is applied to the free end C of the bracket. In order that the deflection of point A to be zero the ratio a/L should be

A

$$\frac{1}{2}$$

B

$$\frac{1}{3}$$

C

$$\frac{1}{4}$$

D

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