**Question 7: Polarization of Light**A vertically polarized beam of light with an intensity of \(100 \, \text{W/m}^2\) passes through two ideal polarizers. The transmission axis of the first polarizer makes an angle of \(20.0^\circ\) with the vertical, and the axis of the second polarizer is at an angle of \(30.0^\circ\) relative to the first one. What is the intensity of the light after it has passed through both polarizers?a) \(22.2 \, \text{W/m}^2\)b) \(44.4 \, \text{W/m}^2\)c) \(66.2 \, \text{W/m}^2\)d) \(78.0 \, \text{W/m}^2\)**Analysis:**This is a classic problem involving Malus's Law, which states that when polarized light passes through a polarizer, the intensity \(I\) of the light transmitted is given by:\[ I = I_0 \cos^2(\theta) \]Where:- \(I_0\) is the initial intensity of the light.- \(\theta\) is the angle between the light’s initial polarization direction and the axis of the polarizer.Here, the light initially has an intensity \(I_0 = 100 \, \text{W/m}^2\).1. **First Polarizer:** - Angle \(\theta_1 = 20.0^\circ\) - \[ I_1 = 100 \, \cos^2(20^\circ) \]2. **Second Polarizer:** - Angle \(\theta_2 = 30.0^\circ\) relative to the first polarizer's axis. - \[ I_2 = I_1 \cos^2(30^\circ) \]Using these calculations, you can find the final intensity of light after passing through both polarizers.

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7. A vertically polarized beam of light of intensity 100 W/m² passes through two ideal polarizers. The transmission axis of the first polarizer makes an angle of 20.0° with the vertical, and the axis of the second polarizer is at angle 30.0° relative to the second one. What is the intensity of the light after it has passes through both polarizers? a) 22.2 W/m² b) 44.4 W/m² c) 66.2 W/m² d) 78.0 W/m²

7. A vertically polarized beam of light of intensity 100 W/m² passes through two ideal polarizers. The transmission axis of the first polarizer makes an angle of 20.0° with the vertical, and the axis of the second polarizer is at angle 30.0° relative to the second one. What is the intensity of the light after it has passes through both polarizers? a) 22.2 W/m² b) 44.4 W/m² c) 66.2 W/m² d) 78.0 W/m²

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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