A polarizer is a device that lets the component of light parallel to the polarizer's direction to go through and absorb the perpendicular direction. For example, a vertically oriented polarizer only allows the vertical component of the light to go through and the transmitted light is a vertically polarized light. Now we have three polarizers as shown below. The first polarizer is vertically oriented and the last one is horizontally oriented. The middle one is oriented at an angle θ with respect to the vertical direction. When a randomly oriented light with intensity L is passed into this series of polarizer, what is the intensity of the light after it passes through the third polarizer?
a) 0
b) L/8
c) L/4cos²θ
d) L/2cosθsinθ
e) L/2cos²θsin²θ