Vertically polarized light that has an intensity of 450 W/m2 is incident on two

Question

Vertically polarized light that has an intensity of 450 W/m2 is incident on two polarizing filters. The first filter is oriented 30° from the vertical while the second filter is oriented 75° from the vertical. Predict the intensity and polarization of the light that emerges from the second filter. (Assume both angles are measured in the same direction with respect to the vertical.) _____W/m2

Hint : Vertically polarized light I0 = 450 W m2 is passed through two polarizing filters. The first is oriented at an angle of 30 degrees relative to the vertical, and the second is oriented at an angle of 75 degrees relative to the vertical. We can use I1 = I0 cos2() in succession to determine the final intensity and polarization of the light after passing through the two filters. Remember that is the angle between the polarization axis of the light and the polarization axis of the filter, which is not necessarily the same as the angle the filter makes with the vertical.

Help Please?

Explanation / Answer

let,

intensity Io=450 W/m^2

theta1=30 degerees,

theta2=75 degrees,

use,

I=Io*cos^(theta)

after first polarizer,

I1=Io*cos^(theta1)

I1=450*cos^2(30)

I1=337.5 W/m^2

now,

after second polarizer,

I2=I1*cos^(theta2-theta1)

I2=337.5*cos^2(75-30)

I2=168.75 w/m^2

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