In Fig. 33-42, unpolarized light is sent into a system of...

Name: Problem 44, Chapter 33: Fundamentals of Physics
Uploaded: 2021-08-26T18:17:40-08:00
Duration: 2 min 6 s
Channel: Keshav Singh
Description: In Fig. 33-42, unpolarized light is sent into a system of three polarizing sheets, which transmits 0.0500 of the initial light intensity. The polarizing directions of the first and third sheets are at angles θ1=0^∘ and θ3=90^∘ . What are the (a) smaller and (b) larger possible values of angle θ2(<90^∘) for the polarizing direction of sheet 27

In Fig. $33-42,$ unpolarized light is sent into a system of three polarizing sheets, which transmits 0.0500 of the initial light intensity. The polarizing directions of the first and third sheets are at angles $\theta_{1}=0^{\circ}$ and $\theta_{3}=90^{\circ} .$ What are the (a) smaller and (b) larger possible values of angle $\theta_{2}\left(<90^{\circ}\right)$ for the polarizing direction of sheet 27

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Key Concepts

Polarization of Light

Polarization refers to the orientation of the oscillations of the electric field in an electromagnetic wave. It determines how light interacts with materials and filters, which can allow light of one polarization to pass through while blocking others.

Malus's Law

Malus's Law provides the quantitative relationship between the intensity of polarized light and the angle between its polarization direction and the axis of a polarizing filter. It states that the transmitted intensity is proportional to the square of the cosine of that angle, making it essential for analyzing systems involving multiple polarizers.

Transmission through Multiple Polarizers

When light passes sequentially through multiple polarizing elements, each filter not only attenuates the light based on the angle difference but also sets the new polarization direction. This sequential action requires careful application of Malus's Law to predict the overall transmitted intensity through the system.

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