Item 8 Learning Goal: To understand polarization of light and how to use Malus's law to calculate the intensity of a beam 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. The waves differ in that the top wave oscillates horizontally and the bottom wave oscillates vertically. The direction of oscillation of a wave is called the polarization of the wave. The upper wave is described as polarized in the *x direction whereas the lower wave is polarized 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 of oscillating electric and magnetic fields. The polarization of an electromagnetic wave refers to the oscillation direction of the electric field, not the magnetic field. In this problem all figures depicting light waves illustrate only the electric field. A linear polarizing filter, often just called a polarizer, is a device that only transmits light polarized along a specific transmission axis direction The amount of light that passes through a filter is quantified in terms of its intensity. If the polarization angle of the incident light matches the transmission axis of the polarizer, 100% of the light will pass through, so the transmitted intensity will equal the incident intensity. More generally, the intensity of light emerging from a polarizer is described by Malus's law: I= Io cos² 0. where Io is the intensity of the polarized light beam just before entering the polarizer, I is the 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 the transmission axis of the polarizer. After passing through the polarizer, the transmitted light is polarized in the direction of the transmission axis of the polarizing filter. Figure # You AN < 1 of 2 > Direction of wave travel In the questions that follow, assume that all angles are measured counterclockwise from the +x axis in the direction of the +y axis. ▾ Part A о в OOTA OOTA-00 OOTA +00 O (OTA-00)/2 A beam of polarized light with intensity Io and polarization angle o strikes a polarizer with transmission axis TA- What angle should be used in Malus's law to calculate the transmitted intensity I₁? Submit This process is illustrated in the figure (Figure 2), where the polarization of the light wave is visually illustrated by a magenta double arrow oriented in the direction of polarization, the transmission axis of the polarizer is represented by a blue double arrow, and the direction of motion of the wave is illustrated by a purple arrow. Part B Request Answer What is the polarization angle 8₁ of the light emerging from the polarizer? о во O OTA OOTA-00 O OTA +00 O (OTA-00)/2 Submit Request Answer < Part C Complete previous part(s) Part D Complete previous part(s) 8 of 15 > Part E Complete previous part(s) Review