Unpolarized light of intensity I₀ passes through two sheets of ideal polarizing material.If the transmitted intensity is 0.24 I₀,what is the angle between the polarizer and the analyzer? A)61° B)46° C)61°. D)76° E)0.81°

Question

Quizplus · Accepted Answer

The intensity of unpolarized light passing through a polarizer is reduced to half (1/2). Therefore, the intensity of light passing through the first polarizing material is IS/2. When this passes through the second polarizing material, the intensity is reduced to 0.24 IS/2 = 0.12 IS. The intensity of light passing through two polarizers is given by I = I0 cos^2θ, where θ is the angle between the polarizer and the analyzer. Putting the values in the equation, we get:

0.12 IS = IS/2 cos^2θ
cos^2θ = 0.24
cosθ = ±0.49

As the angle between the polarizer and the analyzer cannot be negative, we take the positive value of cosθ. Therefore, cosθ = 0.49, which gives θ = 61° (approx). Therefore, the answer is B) 46°.

Unpolarized Light of Intensity I0 Passes Through Two Sheets of Ideal

Unpolarized Light of Intensity I₀ Passes Through Two Sheets of Ideal