Unpolarized light with an intensity of 432 W/m^2 passes through three polarizing filters in a row, each of which is rotated 30 degrees from the one before it. Find the intensity of the light that emerges at the end

40.5 W/m²

Explanation:

Intensity of unpolarized light = 432 W/m² = I₀

Intensity of light as it passes through first polarizer

I = I₀*0.5

⇒I = 432*0.5

⇒I = 216 W/m²

Intensity of light as it passes through second polarizer. So, Intensity after it passes through first polarizer is the input for the second polarizer

I = I₀*0.5 cos²30

⇒I = 216*0.75

⇒I = 162 W/m²

Intensity of light as it passes through third polarizer.

I = I₀*0.5 cos²30*cos²60

⇒I = 162*0.25

⇒I = 40.5 W/m²

Intensity of light at the end is 40.5 W/m²