Concept explainers
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
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- Astronomers 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_forwardA 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_forward
- A compact disc (CD) is read from the bottom by a semiconductor laser with wavelength 790 nm passing through a plastic substrate of refractive index 1.8. When the beam encounters a pit, part of the beam is reflected from the pit and part from the flat region between the pits, so these two beams interfere with each other. What must the minimum pit depth be so that the part of the beam reflected from a pit cancels the part of the beam reflected from the flat region? (It is this cancellation that allows the player to recognize the beginning and end of a pit.)arrow_forwardlet a beam of x rays of wavelength 0.125 nm be incident on an NaCl crystal at angle u 45.0° to the top face of the crystal and a family of reflecting planes. Let the reflecting planes have separation d = 0.252 nm. The crystal is turned through angle f around an axis perpendicular to the plane of the page until these reflecting planes give diffraction maxima. What are the (a) smaller and (b) larger value of f if the crystal is turned clockwise and the (c) smaller and (d) larger value of f if it is turned counterclockwise?arrow_forwardA light of wavelength 589 nm (produced by a sodium m lamp) traveling through air is incident a smooth, flat slab of crystal (n=2) at an angle of incidence = 30 degrees to the normal. Calculate the angle of refractionarrow_forward
- Light 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_forwardYou 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_forward
- You are performing research in an x-ray diffraction laboratory. In one of your experiments, you wish to study x-ray diffraction from a crystal of NaCl using x-rays of wavelength 0.136 nm. (a) For how many angles do you expect to detect a diffraction maximum from the crystal if your x-rays are reflecting from the shaded planes as shown? (b) In another experiment, the crystal is rotated so that the reflections of x-rays arise from parallel planes of sodium and chlorine ions. as shown shows portions of these planes containing atoms within the unit cell. Imagine extending these portions outward to form large planes, one with only sodium ions and the other with only chlorine ions. Considering these planes, for how many angles do you expect to detect a diffraction maximum from the crystal using the same x-rays?arrow_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_forwardA light ray of wavelength 589 nm (produced by a sodium m lamp) travelling through air is incident a smooth, flat slab of crystal (n=2) at an angle 1= 30 degrees to the normal. Calculate the critical angle of crystal if light travels from slab of crystal to air.arrow_forward
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