Problem 12.2 Light of wavelength A in a medium of refractive index n₁ is normally incident on a thin film of refractive index n2 and optical thickness X/4 which coats a plane substrate of refractive index n3. Show that the film is a perfect anti-reflector (r = 0) if n2 = n/nz.
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- The critical angle for total internal reflection at a liquid-air interface is 45.0°. Part A If a ray of light traveling in the liquid has an angle of incidence at the interface of 34.0 °, what angle does the refracted ray in the air make with the normal? Express your answer in degrees. ΑΠΑΣΦ 0 = Submit Part B Request Answer 0 = ? If a ray of light traveling in air has an angle of incidence at the interface of 34.0 °, what angle does the refracted ray in the liquid make with the normal? Express your answer in degrees. —| ΑΣΦ 2 ? OThe indices of refraction for violet light (λ = 400 nm) and red light (λ = 700 nm) in diamond are 2.46 and 2.41, respectively. A ray of light traveling through air strikes the diamond surface at an angle of 51.0 to the normal. Part A Calculate the angular separation between these two colors of light in the refracted ray. Express your answer in degrees. Π ΑΣΦ Δθ = Submit Request Answer ?PLEASE HELP WITH BOTH!!
- A laser emits a cylindrical beam of light 3.8 mm in diameter. The average power of the laser is 3.0 mW. The laser shines its light on a perfectly absorbing surface. Part A How much energy does the surface receive in 15 s ? Express your answer using two significant figures. —| ΑΣΦ E = Submit Part B What is the radiation pressure exerted by the beam? Express your answer using two significant figures. VE ΑΣΦ pressure av Request Answer Submit = Request Answer ? mJ ? μРаP.11 A beam of polarized light of intensity 10 passes through a sheet of ideal polarizing material. The polarization axis of the beam and the transmission axis of the sheet differ by 60°. What is the intensity of the emerging light? a) 0.87 b) 0.75 c) 0.50 d) 0.25Problem 23.52 Unpolarized light with intensity Io is incident on an ideal polarizing filter. The emerging light strikes a second ideal polarizing filter whose axis is at 45.0° to that of the first. ▾ ▾ Part A Determine the intensity of the beam after it has passed through the second polarizer Enter the factor only. For example, enter 0.250, that means your answer is I = 0.250 Io. I= Submit Part B Parts for Pan do for Part redo foart A retor Part A keyboard shortcuts for Part A help for Part A Determine its state of polarization. Submit Request Answer O The light is linearly polarized along the axis of the first filter. The light is linearly polarized along the axis of the second filter. O The light is linearly polarized perpendicular to the axis of the second filter. The light is linearly polarized perpendicular to the axis of the first filter. Provide Feedback Request Answer Io
- A parallel beam of unpolarized light in air is incident at an angle of 57.5° (with respect to the normal) on a plane glass surface. The reflected beam is completely linearly polarized. Part A What is the refractive index of the glass? n = Submit Part B 195| ΑΣΦ 0 = Request Answer What is the angle of refraction of the transmitted beam? Express your answer in degrees. —| ΑΣΦ ? ?The index of refraction for blue light of wavelength 434 nm in a glass sample is 1.650 and for red light of wavelength 695 nm it is 1.592. If a beam containing these two colors has an angle of incidence with the glass of 30.0°, what is the angle between the two beams inside the glass? Additional Materials Reading2 Problem 2 Assume two adjacent interstellar gas clouds with known thickness dị and d2 found in front of an astronomical light source. Suppose that this source emits a beam of radiation with known specific intensity 1, as it enters the first cloud of interstellar gas. Calculate the specific intensity I, immediately after this beam has traversed the two clouds of gas. Assume that the densities (p1 and p2) and the opacities (k,1 and ky,2) are constant within the clouds and are known quantities and that these clouds possess no emissivity. (Note the relationship between the opacity and absorption coefficient a, = pk,. See Rybicki and Lightman eq. 1.22.) %3D