Originally, light is unpolarized. It then travels through 3 polarizers: the firs

Question

Originally, light is unpolarized. It then travels through 3 polarizers: the first with its transmission axis aligned vertical, the next at a 30 degree angle to the vertical and the last aligned at a 45 degree angle to the vertical (tilted the same direction as the first with respect to the vertical). The original intensity of light is 4 W/m2.

Q. What is the intensity of light after the second polarizer?
________W/m2

Q. What is the intensity of light after the third polarizer?
________W/m2

Q. If the second polarizer is aligned at a 45 degree angle to the vertical (just like the third), what is the final intensity of light after the third polarizer?
________W/m2

Explanation / Answer

so after first polarizer we lose half since its unpolarzied
so I1= 2

when we go through the second
I2 = I1 cos^2 (30)
I2 = 2*cos(30)^2=1.5

then we go through the third
I3 = I2 * cos^2 (d) = 1.5 *cos(45-30)^2=1.3995

if second and third are both are 45

I2 = 2*cos(45)^2 =1

I3 = 1 * cos(45-45)^2 = 1

so 1 W/m^2

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