Three polarizers with their transmission axes oriented as shown are arranged sequentially as shown in the diagram below. Unpolarized light with intensity lo is incident on the first polarizer from the left. • Draw the polarization state and the intensity of the light after each polarizer. Suppose the polarizer in the middle is removed from the beam. Does the intensity of light reaching the observer X increase, decrease, or remain the same? 60° Unpolarized light, intensity l 00 90° Observer New polarizer Polarizers
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- Problem 6 Three polarizing sheets with parallel planes are centered on a common axis, as shown below. The polarizing axes of the first, second, and third sheets are respectively oriented at angles 0₁ = 10°, 0₂ = 40°, and 0, with respect to the vertical. The incident beam is unpolarized and has intensity I₁ = 600 W/m², while the transmitted beam has intensity I₁ = 135 W/m². 2 -0-0 (a) (b) (c) Determine 0₂. 3. 4 Calculate the intensity of the beam, as well as the amplitude of its magnetic field, after it passes through the second sheet (but before it reaches the third sheet). Suppose the beam in part (b) is cylindrical in shape, and has length 30 cm and diameter 5.0 mm. Find the total energy contained in this beam. (The volume of a cylinder is TFL.)-Problem 10 Unpolarized light is incident with angle of incidence 53.061 degrees to the surface of water n=1.33 from air n=1, You are wearing polarizing sun grass aligned vertically. a) Are you able to see this light? b) Calculate the intensity using Malus's law. If another polarizer is introduced in front of your sunglass at 30 degree, are you able to see the reflected light. If possible, what intensity if unpolarized light has intensity I. givin 32
- Part A Sound with frequency 1270 Hz leaves a room through a doorway with a width of 1.15 m . At what minimum angle relative to the centerline perpendicular to the doorway will someone outside the room hear no sound? Use 344 m/s for the speed of sound in air and assume that the source and listener are both far enough from the doorway for Fraunhofer diffraction to apply. You can ignore effects of reflections. Express your answer in radians. • View Available Hint(s) V ΑΣΦ ? radians SubmitPart A What is the thinnest soap film (excluding the case of zero thickness) that appears black when illuminated with light with a wavelength of 580 nm ? The index of refraction of the film is 1.34, and there is air on both sides of the film. Express your answer in nanometers. • View Available Hint(s) nm SubmitPart A Review | Constants A radio station operating at 88.5 MHz broadcasts from two identical antennas at the same elevation but separated by a 9.5-m horizontal distance d (see the figure(Figure 1)). A maximum signal is found along the midline, perpendicular to d at its midpoint and extending horizontally in both directions. Assume all measurements are made much farther than 9.5 m from the antenna towers. If the midline is taken as 0°, at what other angle(s) is a maximum signal detected? Express your answer using two significant figures. Enter your answers in ascending order separated by commas. ΤΕ ΑΣΦ |0 max | = 0 || ? Submit Request Answer
- Wave Optics - Thin Films A thin film 4.0X10°cm thick is surrounded on all sides by air and is illuminated by white light normal to its surface. Its index of refraction is 1.5. What wavelengths within the visible spectrum will be intensified in the reflected beam? (visible light is taken to be wavelengths between 390 to 700 nm) Sketch the situation and label the index of refraction on each side of each interface Use the following questions to guide you Given the phase of the incoming wave and knowing that the transmitted wave does not experience a phase change, what is the phase change of the reflected wave at each interface of the thin film? 1. First interface: change, same 2. Second interface: change, same How many phase changes total: 0 or 2, 1 Greater intensity of the reflected beam corresponds to which type of interference: Choose the thin film equation for the type of interference and number of phase changes of this situation and solve for the wavelength (s) in the visible range.…Unpolarized light of intensity Io is incident on three polarizing filters. The axis of the first is vertical, that of the second is 40.0° from vertical, and that of the third is horizontal. 80 F3 a F4 он F5 $ #4 #3 175 % 96 ▾ Part A What light intensity emerges from the third filter? Express your answer as a multiple of Io. ΜΕ ΑΣΦ Submit Request Answer Return to Assignment Provide Feedback & 7 বর F7 DII F8 חי E R T Y U D F LL ? .10 DD D 1 8 9 0 F10 0 P G Н J K L < C V B N M