Two polarizing filters are placed in a sequence, as shown in the schematic diagram. Unpolarized light is incident on the first filter, and any light that passes through the first filter is incident on the second. The lines drawn through each filter indicate the direction of its polarization axis. Identify the light polarization at each step in the process by dragging the appropriate image into each box.
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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 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 IThree 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 = unitsA light ray is incident perpendicular to the left face of the shown prism made of glass (n = 1.6). What is the largest value of the angle p such that the light ray is totally reflected at the far right face if the prism is surrounded by air? Express your answer to the nearest degree.
- Light of intensity I, is polarized vertically and is incident on an analyzer rotated at an angle 0 from the vertical. Find the angle 0 if the transmitted light has intensity I = (0.750)I,, I = (0.500)I,, I = (0.250)I and I = 0. (Enter your answers in degrees.) %D %3D %3D HINT (a) I= (0.750)I %3D (b) I = (0.500)I. (c) I = (0.250)I %3D (d) I = 0uyguiThree perfect polarizers are placed in sequence and receive incoming light from one side as shown in the figure below. The first polarizer has its optic axis oriented vertically. The second is oriented ? = 26.0 degrees to one side of vertical. The third is oriented horizontally.What fraction of the incoming intensity gets through the first polarizer? I1/I0 = What fraction of the incoming intensity gets through both the first and second polarizers? I2/I0 = What fraction of the incoming intensity gets through the first, second, and third polarizers? I3/I0 = How much intensity would get through if the second and third polarizers were exchanged? I3/I0 =
- Light in air strikes a water surface at the polarizing angle. The part of the beam refracted into the water strikes a submerged slab of material with refractive index n = 1.64 as shown in the figure below. The light reflected from the upper surface of the slab is completely polarized. Find the angle 0 between the water surface and the surface of the slab. 0, Air Water Need Help? Read ItYour boss calls you in his office and hands you the plot shown below. The plot represent data of reflection coefficient for an EM-wave at oblique incidence. It includes the index of refraction of the second medium (n2) and also an angle that your boss does not understand what it is. Your boss tells you that in 30 min, the customer will call back and wants the following information: 1. What polarization has been used to obtain the data 2. What is the index of refraction of the first medium and whether or not is an external or internal reflection. 3. What does the number right above the x-axis represent. 1.5 n;= 3 0.5 41.42 -0.5 10 20 30 40 50 60 70 80 90 Angle of incidence Reflection CoefficientsThree 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