Learning Goal:To understand polarization of light and how to use Malus's law to calculate the intensity of abeam of light after passing through one or more polarizing filters.The two transverse waves shown in the figure(Figure 1) both travel in the +z direction. Thewaves differ in that the top wave oscillates horizontally and the bottom wave oscillatesvertically. The direction of oscillation of a wave is called the polarization of the wave. Theupper wave is described as polarized in the +x direction whereas the lower wave ispolarized in the +y direction. In general, waves can be polarized along any direction.Recall that electromagnetic waves, such as visible light, microwaves, and X rays, consist ofoscillating electric and magnetic fields. The polarization of an electromagnetic wave refersto the oscillation direction of the electric field, not the magnetic field. In this problem allfigures depicting light waves illustrate only the electric field.A linear polarizing filter, often just called a polarizer, is a device that only transmits lightpolarized along a specific transmission axis direction. The amount of light that passesthrough a filter is quantified in terms of its intensity. If the polarization angle of the incidentlight matches the transmission axis of the polarizer, 100% of the light will pass through, sothe transmitted intensity will equal the incident intensity. More generally, the intensity of lightemerging from a polarizer is described by Malus's law:I= Io cos² 0.where I, is the intensity of the polarized light beam just before entering the polarizer, I isthe intensity of the transmitted light beam immediately after passing through the polarizer,and is the angular difference between the polarization angle of the incident beam and thetransmission axis of the polarizer. After passing through the polarizer, the transmitted light ispolarized in the direction of the transmission axis of the polarizing filter.FigureIncidentnaturallightPolarizer3 of 3 Part DOne way to produce a beam of polarized light with intensity I and polarization angle would be to pass unpolarized light with intensity Io through a polarizer whose transmission axis is oriented such that 0TA = 0.How large must Io be if the transmitted light is to have intensity I? (Figure 3)Express your answer as a decimal number times the symbol I. For example, if Io = (1/4)I. enter 0.25 * 1.ΑΣΦIo =SubmitPrevious Answers Request Answer

here you have to use malus lawI=I0cos2θwhere θ is angle between pass axis of polarizor and…

One way to produce a beam of polarized light with intensity I and polarization angle would be to pass unpolarized light with intensity Is through a polarizer whose transmission axis is oriented such that @TA = 0. How large must I be if the transmitted light is to have intensity I? (Figure 3) Express your answer as a decimal number times the symbol I. For example, if I = (1/4)I. enter 0.25 * I.

One way to produce a beam of polarized light with intensity I and polarization angle would be to pass unpolarized light with intensity Is through a polarizer whose transmission axis is oriented such that @TA = 0. How large must I be if the transmitted light is to have intensity I? (Figure 3) Express your answer as a decimal number times the symbol I. For example, if I = (1/4)I. enter 0.25 * I.

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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Unpolarized light passes through two ideal Polaroid sheets. The axis of the first is vertical and the axis of the second is at 40.0° to the vertical. What fraction of the incident light is transmitted? 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 plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I₁ = = 11.0 units (arbitrary). Calculate the transmitted intensity I, when 0₁ = 21.0°, 0₂ = 41.0°, and 03 = 59.0°. Hint: Make repeated use of Malus's law. 1 units If= = I; 0₁ 02 03
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 plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I, = 13.0 units (arbitrary). Calculate the transmitted intensity I, when 0, = 19.0°, 0, = 41.0°, and 0, = 59.0°. Hint: Make repeated úse of Malus's law. If = units 02 I
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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 plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 12.0 units (arbitrary). Calculate the transmitted intensity If when ?1 = 15.0°, ?2 = 39.0°, and ?3 = 59.0°. Hint: Make repeated use of Malus's law.If = units
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 plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity I, = 13.0 units (arbitrary). Calculate the transmitted intensity I, when 8, 15.0°, 0,= 45.0°, and 83=57.0°. Hint: Make repeated use of Malus's law. I₁ = units 4, 8₁
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