Unpolarized light of intensity I₀ passes through two sheets of ideal polarizing material.If the transmitted intensity is 0.25 I₀,what is the angle between the polarizer and the analyzer? A)60 $\degree$ B)45 $\degree$ C)30 $\degree$ D)22.5 $\degree$

Question

Quizplus · Accepted Answer

The intensity of unpolarized light passing through two ideal polarizers is given by:

I2 = I1 cos^2θ

where I1 is the intensity of the unpolarized light, θ is the angle between the polarizers, and I2 is the transmitted intensity.

Using the given values, we have:

0.25 I1 = I1 cos^2θ

cos^2θ = 0.25

Taking the square root of both sides, we get:

cosθ = 0.5

θ = 60°

Therefore, the angle between the polarizer and analyzer is 60°, which corresponds to choice B.

Unpolarized Light of Intensity I0 Passes Through Two Sheets of Ideal

Unpolarized Light of Intensity I₀ Passes Through Two Sheets of Ideal