Unpolarized light of intensity is incident on a system of two polarizers, A followed by B

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Waves Sound and Physical Optics · Waves Sound and Physical Optics

Problem

Unpolarized light of intensity II is incident on a system of two polarizers, A followed by B. The intensity of emergent light is I/2I/2. If a third polarizer C is placed between A and B, the intensity of emergent light is reduced to I/3I/3. The angle between the polarizers A and C is θ\theta. Then (1) cos⁡θ=(23)1/4\cos \theta = \left(\frac{2}{3}\right)^{1/4} (2) cos⁡θ=(13)1/4\cos \theta = \left(\frac{1}{3}\right)^{1/4} (3) cos⁡θ=(13)1/2\cos \theta = \left(\frac{1}{3}\right)^{1/2} (4) cos⁡θ=(23)1/2\cos \theta = \left(\frac{2}{3}\right)^{1/2}

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