**Title: Understanding Polarization and Malus's Law in Physics****Introduction:**This section explores the concept of light polarization using three polarizing plates. These plates are aligned with their planes parallel and centered along a common axis. The orientation of each plate's transmission axis relative to a set vertical direction is crucial for determining the light's behavior as it passes through the system.**Description:**A linearly polarized beam of light is incident on the first polarizing plate, with its plane of polarization parallel to the vertical reference direction. The light enters the system with an initial intensity \( I_i = 15.0 \) arbitrary units. Students are tasked with calculating the final transmitted intensity \( I_f \) after the beam passes through all three polarizing plates.**Objective:**Calculate the transmitted intensity \( I_f \) using the following angles for the transmission axes:- \( \vartheta_1 = 19.0^\circ \)- \( \vartheta_2 = 45.0^\circ \)- \( \vartheta_3 = 61.0^\circ \)**Method:**This calculation involves repeated application of Malus's Law, which states that the intensity \( I \) after passing through a polarizer is given by:\[ I = I_0 \cos^2(\theta) \]where \( I_0 \) is the initial intensity before the polarizer, and \( \theta \) is the angle between the light's initial polarization direction and the polarizer's axis.**Illustration Explanation:**The accompanying diagram depicts the progression of the light beam through the three polarizer disks, each rotated at an angle \( \vartheta_1, \vartheta_2, \) and \( \vartheta_3 \) respectively. The light intensity decreases as it passes through each disk due to the angular orientation affecting the transmission using Malus's Law.**Conclusion:**This exercise illustrates the principles of light polarization and how polarizing filters manipulate the intensity of transmitted light. By applying Malus's Law, students gain an understanding of the quantitative relationships within optical systems involving polarization.

Answered: Image /qna-images/answer/edcc7aff-e3cd-4dfe-9ba9-d9e2c35acc21.jpg

Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with the plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity ; = 15.0 units (arbitrary). Calculate the transmitted intensity I, when &₂ = 19.0°, ₂ = 45.0°, and 3 = 61.0°. Hint: Make repeated use of Malus's law. 4; 0₁ 0₂

Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with the plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity ; = 15.0 units (arbitrary). Calculate the transmitted intensity I, when &₂ = 19.0°, ₂ = 45.0°, and 3 = 61.0°. Hint: Make repeated use of Malus's law. 4; 0₁ 0₂

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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