Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B. The intensity of emergent light is `I/2`. If a third polarizer C is placed between A and B, the intensity of emergent light is reduced to `I/3`. The angle between the polarizers A and C is `theta`. Then :

Options

A. `costheta=((2)/(3))^((1)/(4))`
B. `costheta=((1)/(3))^((1)/(4))`
C. `costheta=((1)/(3))^((1)/(2))`
D. `costheta=((2)/(3))^((1)/(2))`

Answer

A