Unpolarized light of intensity I passes through an ideal polarized A. Another identical polarizer B is placed behind A. The intensity of light beyond B is found to be $\frac{I}{2}$. Now another identical polarizer C is placed between A and B. The intersity beyond B is now found to be $\frac{I}{8}$. The angle between polarizer A and C is :

Question

( A ) $0^{\circ}$
( B ) $30^{\circ}$
( C ) $60^{\circ}$
( D ) $45^{\circ}$