Two polaroids `P_1` and `P_2` are placed with their axis perpendicular to each other. Un-polarized light `I_0` is incident on `P_1`. A third polaroid `P_3` is kept in between `P_1` and `P_2` such that its axis makes an angle `45^@` with that of `P_1`. The intensity of transmitted light through `P_2` is

Options

A. `I_0/2`
B. `I_0/4`
C. `I_0/8`
D. `I_0/16`

Answer

C