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You are working as a demonstration assistant for a physics professor. For an upcoming lecture on diffraction gratings, he wishes to perform a demonstration where he shines a laser pointer at normal incidence onto the recorded surface of a DVD that is laying flat on the demonstration table. (a) He asks you to determine how many additional maxima beyond the normal reflection (which will be blocked by his hand holding the laser pointer) will be projected onto the ceiling or walls of the room if he uses a laser pointer with a wavelength of 632.8 nm. (b) He also asks you if he can show more maxima by using a laser pointer of another visible color. The tracks of pits on a DVD are separated by 0.800 μm.
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Chapter 37 Solutions
Physics for Scientists and Engineers with Modern Physics
- A beam of purple light (λ = 300 nm) is passed through a block of ice (n = 1.31) surrounded by air. (a) What angle of minimum angle for beam 2 will create a total internal reflection θC the critical angle? (b) To achieve the critical angle for beam 2, what angle should beam 1 be at (with respect to the normal to the surface).? (c) Determine the energy of the purple lightarrow_forwardAstronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the Hα line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximumtransmission of perpendicular Hα light if the dielectric has an index of refraction of 1.378. (b) What If? If the temperature of the filter increases above the normal value, increasing its thickness, what happens to the transmitted wavelength? (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light.arrow_forwardTwo beams of light start together and then hit a slab of two different kinds of material. This will cause one of the beams to get "ahead" of the other; that is, one will emerge from the slab sooner than the other. The beams have a wavelength of 680 nm outside the slabs, and the slab is d = 1.10 microns thick. If the top half of the slab has index of refraction 1.65 and the bottom has index 1.37, by what time interval will one of the beams be ahead of the other once they've gone through the slab?arrow_forward
- Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the Holine. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is kept at a constant temperature. (a) Find the minimum value of d that will produce maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.400. (Enter your answer to one decimal place.) nm (b) If the temperature of the filter increases above the normal value increasing its thickness, what happens to the transmitted wavelength? (Assume the index of refraction of the dielectric remains constant.) ---Select--- (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light. nmarrow_forwardLight coming from a fish makes an incidence angle of 30° to normal under the water. The index of refraction of water is 1.33. A fisherman is looking at the fish through air. At what angle with the normal (6, ) will the fish appear to the fisherman? Use Snell's law: n, sin e, = n, sine,arrow_forwardTwo beams of light start together and then hit a slab of two different kinds of material. This will cause one of the beams to get "ahead" of the other; that is, one will emerge from the slab sooner than the other. The beams have a wavelength of 570 nm outside the slabs, and the slab is d=2.3 μm thick. If the top half of the slab has index of refraction 1.79 and the bottom has index 1.39, by what time interval will one of the beams be ahead of the other once they've gone through the slab?arrow_forward
- You are underwater, on the seafloor, looking up. Use n=1.33 for the index of refraction of water. At what range of angles, as measured above the seafloor, can you NOT see out of the water? (You will need a carefully labeled diagram showing just where the light is coming from, and a reasoned explanation of why your answer is correct.)arrow_forwardF: (a) In figure below, a beam of monochromatic light reflects and refracts at point A on the interface between material 1 with index of refraction n₁ = 1.77 and material 2 with index of refraction n₂ = 1.33. The incident beam makes an angle of 50° with the interface. What is the angle of reflection at point A? What is the angle of refraction there? (b) What is the angle of reflection at point B? What is the angle of refraction there? 50° e, ie A 18 721 Tho no ng Air A| 8₂0arrow_forwardAstronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H, line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximum transmission of perpendicular H, light if the dielectric has an index of refraction of 1.494. (Assume that the glass's refractive index exceeds 1.494.) nm (b) If the temperature of the filter increases above the normal value, increases its thickness, what happens to the transmitted wavelength? (Its index of refraction does not change significantly.) O It increases. O It decreases. O It remains unchanged. (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light. nm Additional Materials O eBookarrow_forward
- A Gaussian laser beam with w0 = 0.5 cm and a planar phase front is incident on a lens with focal length f = 10 cm. The laser wavelength is λ = 800 nm. a) How far after the lens is the new beam waist located and what is the beam size in that plane? b) What is the new Rayleigh length? c) How much stronger are the focused electric fields than the ones that were incident on the lens?arrow_forwardLight of wavelength 700.0 nm is sent along a route of length 2000 nm.The route is then filled with a medium having an index of refraction of 1.400. In degrees, by how much does the medium phase-shift the light? Give (a) the full shift and (b) the equivalent shift that has a value less than 360°.arrow_forwardA laser beam of wavelength l = 632.8 nm shines at normal incidence on the reflective side of a compact disc. (a) The tracks of tiny pits in which information is coded onto the CD are 1.60 mm apart. For what angles of reflection (measured from the normal) will the intensity of light be maximum? (b) On a DVD, the tracks are only 0.740 mm apart. Repeat the calculation of part (a) for the DVDarrow_forward
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