Two ideal polarizing sheets are stacked so that none of the incident unpolarized light is transmitted. A third polarizing sheet is slipped between the first two sheets such that 10 percent of incident light is transmitted through the stack. Find the angle of the third polarizing sheet. O 19.6 degrees O 5.8 degrees 11.6 degrees 39.2 degrees
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- Three polarizing sheets are placed together such that the transmission axis of the second sheet is oriented at 25.0° to the axis of the first, whereas the transmission axis of the third sheet is oriented at 40.0° (in the same sense) to the axis of the first. What fraction of an intensity of an incident unpolarized beam is transmitted by the combination?To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?(a) Light reflected at 62.5° from a gemstone in a ring is completely polarized. Can the gem be a diamond? (b) At what angle would the light be completely polarized if the gem was in water?
- A light beam in air is incident on the surface of a pond, making an angle of 20° with respect to the surface. What are the angles of reflection and refraction?FIG. 1. Two linear polarizers. W E YEAR As shown in the above figure, a beam of unpolarized light, with intensity 43 is sent into a system of two polarizing sheets with polarizing directions at angles 90° to the y axis. What is the intensity of the light 01 = 70° and 02 transmitted by the system?A person riding in a boat observes that the sunlight reflectedby the water is polarized parallel to the surface of the water. Theperson is wearing polarized sunglasses with the polarization axisvertical. If the wearer leans at an angle of 21.5° to the vertical,what fraction of the reflected light intensity will pass throughthe sunglasses?
- J W E 10. Three polarizing disks have planes that are parallel and centered on a common axis. The direction of the transmission axis (dashed line) in each case is shown relative to the common vertical direction. A polarized beam of light (with its axis of polarization parallel to the horizontal reference direction) is incident from the left on the first disk with intensity S, = 820 W/m2. Calculate the transmitted intensity if 0₁ = 21.0°, 0₂ = 34.0°, and 03 = 44.0°. X 658.06 W/m² R 92 5 T 6 Horizontal MacBook Air U 8 61A system of three polarizing sheets is placed in the path of initially unpolarized light. The polarizing direction of the first sheet, P1, is parallel to the y-axis, that of the second sheet, P2, is 60o counterclockwise from the y-axis, and that of the third sheet, P3, is parallel to the x-axis. Determine the fraction of the initial intensity Io of the light emerges from the system, i.e. ratio I0/I3. A. 0.092 B. 3.19 C. 10.9 D. 6.66Unpolarized light with intensity 1.25 kW/m^2 passes through a horizontally oriented polarizer. Theoutput of that polarizer is then passed through a second polarizer oriented at 35° relative to thehorizontal. What is the intensity of the light after passing through both?
- b) Unpolarized light of intensity 20 W icm' is incident on two polarizing filters. The axis of the first filter is at an angle of 25.0° counterelockwise from the vertical and the axis of the second filter is at 62.0°counterclockwise from the vertical. What is the intensity of the light after it has passed through the second polarizer?9. A polarized light is incident on several polarizing disks whose planes are parallel and centered on common axs. Suppose that the transmission axis of the first polarizer is rotated 17° relative to the axis of polarization of the ncident bght, and that the transmission axis of each additional analyzer is rotated 17° relative to the transmsSIon axs of the previous one. What s the minimum number of polarizer needed (whole number), so the transmitted light through all polanzing sheets has an ntensity that is less than 15% that striking the first polarizer?On a day when the intensity of sunlight is 1.00 kW / m2,a circular lens 0.200 m in diameter focuses light onto water ina black beaker. Two polarizing sheets of plastic are placed infront of the lens with their axes at an angle of 20.0º.Assuming the sunlight is unpolarized and the polarizers are100% efficient, what is the initial rate of heating of the waterin ºC / s , assuming it is 80.0% absorbed? The aluminumbeaker has a mass of 30.0 grams and contains 250 grams ofwater. (b) Do the polarizing filters get hot? Explain.