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- A beam of light passes through three sheets of polarizing material as shown in the drawing. The orientation of transmission (polarizing) axis is labeled relative to the vertical. The incident beam of light is unpolarized and has an intensity of 650 W/m^2.a) Find intensity of beam transmitted after each polarizing material.b) Sketch direction of polarized light after each polarizing material.arrow_forwardThree 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 Iarrow_forwardUnpolarized light with intensity 200 W/m^2 travelling to the right, is incident on the left-most polarizer and goes through all three polarizers of the figure. The dotted lines are the axes of polarization of each polarizer a) What is the intensity of light leaving the left-most polarizer? b) If the middle polarizer has an axis of polarization θ2 = 75º clockwise from the vertical (viewed in the direction the light is travelling), what is the intensity of light leaving the middle polarizer? c) If the right-most polarizer has an axis of polarization θ1 = 25º counterclockwise from the vertical (viewed in the direction the light is travelling), what is the intensity of light leaving the right-most polarizer?arrow_forward
- Light has a wavelength of 310.3 nm and a frequency of 5.683 × 10¹4 Hz when traveling through a certain substance. What is the refraction index of this medium? Use 2.998 × 108 m/s for the speed of light in a vacuum. Number i Unitsarrow_forwardIn the figure, initially unpolarized light is sent into a system of three polarizing sheets whose polarizing directions make angles of 0 = 35°, 02 = 25°, and 03 = 34° with the direction of the y axis. What percentage of the light's initial intensity is transmitted by the system? Number i Unitsarrow_forwardThree 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 = unitsarrow_forward
- Three polarizing disks whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown. A linearly polarized beam of light with the plane of polarization parallel to the vertical reference direction is incident from the left on the first disk with intensity I; = 2.5 units (arbitrary). 15.4° 37.7 68.3° I2 If Calculate the transmitted intensity If when 01 = 15.4°, 02 = 37.7°, and 03 = 68.3°. %3Darrow_forwardLearning 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,…arrow_forwardProblem 1: A beam of polarized light is sent into a system of two polarizing sheets. Relative to the polarization direction of that incident light, the polarizing directions of the sheets are at angles for the first sheet and 90° for the second sheet. If 0.10 of the incident intensity is transmitted by the two sheets, what is 0?arrow_forward
- Malus's Law Below is an image of light with initial intensity lo = 750.0 W/m² going through 2 polarizing filters. The first polarizing filter is oriented with vertical polarization. The angle between the two polarizing filters is 0 = 35.0 degrees. The light is initially polarized horizontal before entering the first polarizing filter. What is the intensity of the light at l, (after passing through both filters)? Make sure to give your answer in units of W/m² and with an appropriate number of significant figures. Polarizing Filter, Polarizing Filter, Io 12 Your Answer: Answerarrow_forwardPolarized light passes through two rotated filters from left to right, as shown. At the point A, its intensity is Io. The polarization axis of the first polarizer makes an angle 01= 52.6° with the direction of polarization the incoming light. The polarization axis of the second polarizer makes an angle 02= 59.6° degrees with the polarization axis of the first polarizer. E Polarized В light The intensity of light at the point C is:arrow_forwardUnpolarized light of intensity lo =208 W/m² passes through a first polarizer with its polarizing axis in the vertical position and then through a second polarizer oriented an angle of 84 degrees with the first polarizer. What is the intensity of the light emerging from the second polarizer? Enter you answer in W/m2 with one decimal place precision.arrow_forward
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