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25. 1 the ray aspect of light learning objectives by the end of this section, you will be able to : • list the ways by which light travels from a source to another location. there are three ways in which light can travel from a source to another location. ( see figure 25. 3. ) it can come directly from the source throu... | openstax_college_physics_2e-web_7zesafu | [
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such situations. since the wavelength of light is less than a micron ( a thousandth of a millimeter ), it acts like a ray in the many common situations in which it encounters objects larger than a micron. for example, when light encounters anything we can observe with unaided eyes, such as a mirror, it acts like a ray,... | openstax_college_physics_2e-web_7zesafu | [
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25. 2 the law of reflection learning objectives by the end of this section, you will be able to : • explain reflection of light from polished and rough surfaces. whenever we look into a mirror, or squint at sunlight glinting from a lake, we are seeing a reflection. when you look at this page, too, you are seeing light ... | openstax_college_physics_2e-web_7zesafu | [
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25. 2 • the law of reflection 1099 figure 25. 4 the law of reflection states that the angle of reflection equals the angle of incidence —. the angles are measured relative to the perpendicular to the surface at the point where the ray strikes the surface. figure 25. 5 light is diffused when it reflects from a rough sur... | openstax_college_physics_2e-web_7zesafu | [
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are formed by mirrors and lenses will be treated in later sections of this chapter. figure 25. 9 our image in a mirror is behind the mirror. the two rays shown are those that strike the mirror at just the correct angles to be reflected into the eyes of the person. the image appears to be in the direction the rays are c... | openstax_college_physics_2e-web_7zesafu | [
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25. 3 the law of refraction learning objectives by the end of this section, you will be able to : • determine the index of refraction, given the speed of light in a medium. it is easy to notice some odd things when looking into a fish tank. for example, you may see the same fish appearing to be in two different places.... | openstax_college_physics_2e-web_7zesafu | [
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the source or the observer. however, the speed of light does vary in a precise manner with the material it traverses. these facts have far - reaching implications, as we will see in special relativity. it makes connections between space and time and alters our expectations that all observers measure the same time for t... | openstax_college_physics_2e-web_7zesafu | [
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and others to determine the speed of light. as the mirrors rotate, the reflected ray is only briefly directed at the stationary mirror. the returning ray will be reflected into the observer's eye only if the next mirror has rotated into the correct position just as the ray returns. by measuring the correct rotation rat... | openstax_college_physics_2e-web_7zesafu | [
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25. 3 • the law of refraction 1103 where is the observed speed of light in the material. since the speed of light is always less than in matter and equals only in a vacuum, the index of refraction is always greater than or equal to one. that is,. table 25. 1 gives the indices of refraction for some representative subst... | openstax_college_physics_2e-web_7zesafu | [
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1. 923 table 25. 1 index of refraction in various media example 25. 1 speed of light in matter calculate the speed of light in zircon, a material used in jewelry to imitate diamond. strategy the speed of light in a material,, can be calculated from the index of refraction of the material using the equation. solution th... | openstax_college_physics_2e-web_7zesafu | [
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25. 3 • the law of refraction 1105 law of refraction figure 25. 12 shows how a ray of light changes direction when it passes from one medium to another. as before, the angles are measured relative to a perpendicular to the surface at the point where the light ray crosses it. ( some of the incident light will be reflect... | openstax_college_physics_2e-web_7zesafu | [
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here. ( a ) a ray of light moves closer to the perpendicular when it slows down. this is analogous to what happens when a lawn mower goes from a footpath to grass. ( b ) a ray of light moves away from the perpendicular when it speeds up. this is analogous to what happens when a lawn mower goes from grass to footpath. t... | openstax_college_physics_2e-web_7zesafu | [
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25. 8 1106 25 • geometric optics access for free at openstax. org example 25. 2 determine the index of refraction from refraction data find the index of refraction for medium 2 in figure 25. 12 ( a ), assuming medium 1 is air and given the incident angle is and the angle of refraction is. strategy the index of refracti... | openstax_college_physics_2e-web_7zesafu | [
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at the pencil sideways, that is, through air, glass, water. explain your observations. draw ray diagrams for the situation. 25. 9 25. 10 25. 11 25. 3 • the law of refraction 1107 entering known values, the angle is thus discussion for the same angle of incidence, the angle of refraction in diamond is significantly smal... | openstax_college_physics_2e-web_7zesafu | [
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25. 4 total internal reflection learning objectives by the end of this section, you will be able to : • explain the phenomenon of total internal reflection. • describe the workings and uses of fiber optics. • analyze the reason for the sparkle of diamonds. a good - quality mirror may reflect more than 90 % of the light... | openstax_college_physics_2e-web_7zesafu | [
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25. 14 critical angle the incident angle that produces an angle of refraction of is called the critical angle,. 1108 25 • geometric optics access for free at openstax. org figure 25. 13 ( a ) a ray of light crosses a boundary where the speed of light increases and the index of refraction decreases. that is,. the ray be... | openstax_college_physics_2e-web_7zesafu | [
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25. 4 • total internal reflection 1109 example 25. 4 how big is the critical angle here? what is the critical angle for light traveling in a polystyrene ( a type of plastic ) pipe surrounded by air? strategy the index of refraction for polystyrene is found to be 1. 49 in figure 25. 14, and the index of refraction of ai... | openstax_college_physics_2e-web_7zesafu | [
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and, thus, be totally reflected ( see figure 25. 14. ) the index of refraction outside the fiber must be smaller than inside, a condition that is easily satisfied by coating the outside of the fiber with a material having an appropriate refractive index. in fact, most fibers have a varying refractive index to allow mor... | openstax_college_physics_2e-web_7zesafu | [
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25. 19 1110 25 • geometric optics access for free at openstax. org device called an endoscope is shown in figure 25. 15 ( b ). endoscopes are used to explore the body through various orifices or minor incisions. light is transmitted down one fiber bundle to illuminate internal parts, and the reflected light is transmit... | openstax_college_physics_2e-web_7zesafu | [
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since no light gets into the cladding ( there is total internal reflection back into the core ), none can be transmitted between clad fibers that are in contact with one another. the cladding prevents light from escaping out of the fiber ; instead most of the light is propagated along the length of the fiber, minimizin... | openstax_college_physics_2e-web_7zesafu | [
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25. 4 • total internal reflection 1111 allowing quality imaging of a region inside the body. special minute optical filters inserted at the end of the fiber bundle have the capacity to image tens of microns below the surface without cutting the surface — non - intrusive diagnostics. this is particularly useful for dete... | openstax_college_physics_2e-web_7zesafu | [
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figure 25. 17 ( a ) astronauts placed a corner reflector on the moon to measure its gradually increasing orbital distance. ( credit : nasa ) ( b ) the bright spots on these bicycle safety reflectors are reflections of the flash of the camera that took this picture on a dark night. ( credit : julo, wikimedia commons ) c... | openstax_college_physics_2e-web_7zesafu | [
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nearly colorless. those colors result from dispersion, the topic of dispersion : the rainbow and prisms. colored diamonds get their color from structural defects of the crystal lattice and the inclusion of minute quantities of graphite and other materials. the argyle mine in western australia produces around 90 % of th... | openstax_college_physics_2e-web_7zesafu | [
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25. 5 dispersion : the rainbow and prisms learning objectives by the end of this section, you will be able to : • explain the phenomenon of dispersion and discuss its advantages and disadvantages. everyone enjoys the spectacle and surprise of rainbows. they ’ ve been hailed as symbols of hope and spirituality and are t... | openstax_college_physics_2e-web_7zesafu | [
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wavelengths of light, as shown in figure 25. 21. when our eye receives pure - wavelength light, we tend to see only one of the six colors, depending on wavelength. the thousands of other hues we can sense in other situations are our eye ’ s response to various mixtures of wavelengths. white light, in particular, is a f... | openstax_college_physics_2e-web_7zesafu | [
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21. medium red ( 660 nm ) orange ( 610 nm ) yellow ( 580 nm ) green ( 550 nm ) blue ( 470 nm ) violet ( 410 nm ) water 1. 331 1. 332 1. 333 1. 335 1. 338 1. 342 diamond 2. 410 2. 415 2. 417 2. 426 2. 444 2. 458 glass, crown 1. 512 1. 514 1. 518 1. 519 1. 524 1. 530 glass, flint 1. 662 1. 665 1. 667 1. 674 1. 684 1. 698... | openstax_college_physics_2e-web_7zesafu | [
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1. 468 table 25. 2 index of refraction n in selected media at various wavelengths dispersion dispersion is defined to be the spreading of white light into its full spectrum of wavelengths. making connections : dispersion any type of wave can exhibit dispersion. sound waves, all types of electromagnetic waves, and water... | openstax_college_physics_2e-web_7zesafu | [
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25. 5 • dispersion : the rainbow and prisms 1115 figure 25. 22 ( a ) a pure wavelength of light falls onto a prism and is refracted at both surfaces. ( b ) white light is dispersed by the prism ( shown exaggerated ). since the index of refraction varies with wavelength, the angles of refraction vary with wavelength. a ... | openstax_college_physics_2e-web_7zesafu | [
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back of the drop. this light is refracted and dispersed both as it enters and as it leaves the drop. 1116 25 • geometric optics access for free at openstax. org figure 25. 24 ( a ) different colors emerge in different directions, and so you must look at different locations to see the various colors of a rainbow. ( b ) ... | openstax_college_physics_2e-web_7zesafu | [
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25. 6 image formation by lenses learning objectives by the end of this section, you will be able to : • list the rules for ray tracking for thin lenses. • illustrate the formation of images using the technique of ray tracking. • determine power of a lens given the focal length. lenses are found in a huge array of optic... | openstax_college_physics_2e-web_7zesafu | [
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can converge the nearly parallel light rays from the sun to a small spot. figure 25. 25 rays of light entering a converging lens parallel to its axis converge at its focal point f. ( ray 2 lies on the axis of the lens. ) the distance from the center of the lens to the focal point is the lens ’ s focal length. an expand... | openstax_college_physics_2e-web_7zesafu | [
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focal point is called focal length. 25. 20 power the power of a lens is defined to be the inverse of its focal length. in equation form, this is where is the focal length of the lens, which must be given in meters ( and not cm or mm ). the power of a lens has the unit diopters ( d ), provided that the focal length is g... | openstax_college_physics_2e-web_7zesafu | [
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25. 6 • image formation by lenses 1119 strategy the situation here is the same as those shown in figure 25. 25 and figure 25. 26. the sun is so far away that the sun ’ s rays are nearly parallel when they reach earth. the magnifying glass is a convex ( or converging ) lens, focusing the nearly parallel rays of sunlight... | openstax_college_physics_2e-web_7zesafu | [
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the lens. note that the focal length and power of a diverging lens are defined to be negative. for example, if the distance to in figure | openstax_college_physics_2e-web_7zesafu | [
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25. 27 is 5. 00 cm, then the focal length is and the power of the lens is. an expanded view of the path of one ray through the lens is shown in the figure to illustrate how the shape of the lens, together with the law of refraction, causes the ray to follow its particular path and be diverged. figure 25. 27 rays of lig... | openstax_college_physics_2e-web_7zesafu | [
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25. 23 1120 25 • geometric optics access for free at openstax. org as noted in the initial discussion of the law of refraction in the law of refraction, the paths of light rays are exactly reversible. this means that the direction of the arrows could be reversed for all of the rays in figure 25. 25 and figure 25. 27. f... | openstax_college_physics_2e-web_7zesafu | [
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from the lens. ( see figure 25. 29. ) another important characteristic of a thin lens is that light rays through its center are deflected by a negligible amount, as seen in figure 25. 30. diverging lens a lens that causes the light rays to bend away from its axis is called a diverging lens. thin lens a thin lens is def... | openstax_college_physics_2e-web_7zesafu | [
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25. 6 • image formation by lenses 1121 figure 25. 29 thin lenses have the same focal length on either side. ( a ) parallel light rays entering a converging lens from the right cross at its focal point on the left. ( b ) parallel light rays entering a diverging lens from the right seem to come from the focal point on th... | openstax_college_physics_2e-web_7zesafu | [
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casts an image onto a screen. in other cases, the image is less obvious. where, for example, is the image formed by eyeglasses? we will use ray tracing for thin lenses to illustrate how they form images, and we will develop equations to describe the image formation quantitatively. consider an object some distance away ... | openstax_college_physics_2e-web_7zesafu | [
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. 31 in more detail. rules for ray tracing 1. a ray entering a converging lens parallel to its axis passes through the focal point f of the lens on the other side. 2. a ray entering a diverging lens parallel to its axis seems to come from the focal point f. 3. a ray passing through the center of either a converging or ... | openstax_college_physics_2e-web_7zesafu | [
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25. 6 • image formation by lenses 1123 figure 25. 31 ray tracing is used to locate the image formed by a lens. rays originating from the same point on the object are traced — the three chosen rays each follow one of the rules for ray tracing, so that their paths are easy to determine. the image is located at the point ... | openstax_college_physics_2e-web_7zesafu | [
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the symbols and, respectively. images that appear upright relative to the object have heights that are positive and those that are inverted have negative heights. using the rules of ray tracing and making a scale drawing with paper and pencil, like that in figure 25. 31, we can accurately describe the location and size... | openstax_college_physics_2e-web_7zesafu | [
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25. 6 • image formation by lenses 1125 example 25. 6 finding the image of a light bulb filament by ray tracing and by the thin lens equations a clear glass light bulb is placed 0. 750 m from a convex lens having a 0. 500 m focal length, as shown in figure 25. 33. use ray tracing to get an approximate location for the i... | openstax_college_physics_2e-web_7zesafu | [
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28 25. 29 25. 30 25. 31 | openstax_college_physics_2e-web_7zesafu | [
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25. 32 1126 25 • geometric optics access for free at openstax. org note that there is no inverting here. the thin lens equations can be used to find the magnification, since both and are known. entering their values gives discussion note that the minus sign causes the magnification to be negative when the image is inve... | openstax_college_physics_2e-web_7zesafu | [
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##verging lens than its focal length. this is called a case 2 image. a case 2 image is formed when and is positive. figure 25. 34 ( a ) when a converging lens is held farther away from the face than the lens ’ s focal length, an inverted image is formed. this is a case 1 image. note that the image is in focus but the f... | openstax_college_physics_2e-web_7zesafu | [
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25. 6 • image formation by lenses 1127 than its focal length. rays coming from a common point on the object continue to diverge after passing through the lens, but all appear to originate from a point at the location of the image. the image is on the same side of the lens as the object and is farther away from the lens... | openstax_college_physics_2e-web_7zesafu | [
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what magnification is produced? strategy and concept we are given that and, so we have a situation where the object is placed closer to the virtual image an image that is on the same side of the lens as the object and cannot be projected on a screen is called a virtual image. 1128 25 • geometric optics access for free ... | openstax_college_physics_2e-web_7zesafu | [
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image is not obvious when you look through a magnifier. in fact, since the image is bigger than the object, you may think the image is closer than the object. but the image is farther away, a fact that is useful in correcting farsightedness, as we shall see in a later section. a third type of image is formed by a diver... | openstax_college_physics_2e-web_7zesafu | [
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25. 6 • image formation by lenses 1129 figure 25. 37 ray tracing predicts the image location and size for a concave or diverging lens. ray 1 enters parallel to the axis and is bent so that it appears to originate from the focal point. ray 2 passes through the center of the lens without changing path. the two rays appea... | openstax_college_physics_2e-web_7zesafu | [
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25. 41 1130 25 • geometric optics access for free at openstax. org or now the magnification equation can be used to find the magnification, since both and are known. entering their values gives discussion a number of results in this example are true of all case 3 images, as well as being consistent with figure 25. 37. ... | openstax_college_physics_2e-web_7zesafu | [
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produced by a concave lens is always smaller than the object — a case 3 image. we can see and photograph virtual images only by using an additional lens to form a real image. type formed when image type di m case 1 positive, real positive negative case 2 positive, virtual negative positive case 3 negative virtual negat... | openstax_college_physics_2e-web_7zesafu | [
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25. 6 • image formation by lenses 1131 problem - solving strategies for lenses step 1. examine the situation to determine that image formation by a lens is involved. step 2. determine whether ray tracing, the thin lens equations, or both are to be employed. a sketch is very useful even if ray tracing is not specificall... | openstax_college_physics_2e-web_7zesafu | [
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25. 7 image formation by mirrors learning objectives by the end of this section, you will be able to : • illustrate image formation in a flat mirror. • explain with ray diagrams the formation of an image using spherical mirrors. • determine focal length and magnification given radius of curvature, distance of object an... | openstax_college_physics_2e-web_7zesafu | [
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that is where the image is situated. misconception alert we do not realize that light rays are coming from every part of the object, passing through every part of the lens, and all can be used to form the final image. we generally feel the entire lens, or mirror, is needed to form an image. actually, half a lens will f... | openstax_college_physics_2e-web_7zesafu | [
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) if a spherical mirror is small compared with its radius of curvature, parallel rays are focused to a common point. the distance of the focal point from the center of the mirror is its focal length. since this mirror is converging, it has a positive focal length. just as for lenses, the shorter the focal length, the m... | openstax_college_physics_2e-web_7zesafu | [
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25. 7 • image formation by mirrors 1133 figure 25. 40 parallel rays of light reflected from a convex spherical mirror ( small in size compared with its radius of curvature ) seem to originate from a well - defined focal point at the focal distance behind the mirror. convex mirrors diverge light rays and, thus, have a n... | openstax_college_physics_2e-web_7zesafu | [
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farther from a concave ( converging ) mirror than its focal length. that is, is positive and >, so that we may expect an image similar to the case 1 real image formed by a converging lens. ray tracing in figure 25. 41 shows that the rays from a common point on the object all cross at a point on the same side of the mir... | openstax_college_physics_2e-web_7zesafu | [
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the coils are the object, and we are asked to find their location — that is, to find the object distance. we are also given the radius of curvature of the mirror, so that its focal length is ( positive since the mirror is concave or converging ). assuming the mirror is small compared with its radius of curvature, we ca... | openstax_college_physics_2e-web_7zesafu | [
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25. 7 • image formation by mirrors 1135 note that the filament here is not much farther from the mirror than its focal length and that the image produced is considerably farther away. this is exactly analogous to a slide projector. placing a slide only slightly farther away from the projector lens than its focal length... | openstax_college_physics_2e-web_7zesafu | [
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integrated concept problem we must first identify the physical principles involved. part ( a ) is related to the current topic. part ( b ) involves a little math, primarily geometry. part ( c ) requires an understanding of heat and density. solution to ( a ) to a good approximation for a concave or semi - spherical sur... | openstax_college_physics_2e-web_7zesafu | [
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25. 51 1136 25 • geometric optics access for free at openstax. org therefore, the increase in temperature in one minute is discussion for ( c ) an array of such pipes in the california desert can provide a thermal output of 250 mw on a sunny day, with fluids reaching temperatures as high as. we are considering only one... | openstax_college_physics_2e-web_7zesafu | [
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25. 7 • image formation by mirrors 1137 figure 25. 43 ( a ) case 2 images for mirrors are formed when a converging mirror has an object closer to it than its focal length. ray 1 approaches parallel to the axis, ray 2 strikes the center of the mirror, and ray 3 approaches the mirror as if it came from the focal point. (... | openstax_college_physics_2e-web_7zesafu | [
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, flickr ) example 25. 11 image in a convex mirror a keratometer is a device used to measure the curvature of the cornea, particularly for fitting contact lenses. light is reflected from the cornea, which acts like a convex mirror, and the keratometer measures the magnification of the image. the smaller the magnificati... | openstax_college_physics_2e-web_7zesafu | [
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25. 7 • image formation by mirrors 1139 substituting known values, this must be inverted to find : the radius of curvature is twice the focal length, so that discussion the radius of curvature found here is reasonable for a cornea. the distance from cornea to retina in an adult eye is about 2. 0 cm. in practice, many c... | openstax_college_physics_2e-web_7zesafu | [
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25. 59 take - home experiment : concave mirrors close to home find a flashlight and identify the curved mirror used in it. find another flashlight and shine the first flashlight onto the second one, which is turned off. estimate the focal length of the mirror. you might try shining a flashlight on the curved mirror beh... | openstax_college_physics_2e-web_7zesafu | [
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reflection equals the angle of incidence magnification ratio of image height to object height mirror smooth surface that reflects light at specific angles, forming an image of the person or object in front of it power inverse of focal length rainbow dispersion of sunlight into a continuous distribution of colors accord... | openstax_college_physics_2e-web_7zesafu | [
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25. 4 total internal reflection • the incident angle that produces an angle of refraction of is called critical angle. • total internal reflection is a phenomenon that occurs at the boundary between two mediums, such that if the incident angle in the first medium is greater than the critical angle, then all the light i... | openstax_college_physics_2e-web_7zesafu | [
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25. 6 image formation by lenses • light rays entering a converging lens parallel to its axis cross one another at a single point on the opposite side. • for a converging lens, the focal point is the point at which converging light rays cross ; for a diverging lens, the focal point is the point from which diverging ligh... | openstax_college_physics_2e-web_7zesafu | [
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25. 3 the law of refraction 2. diffusion by reflection from a rough surface is described in this chapter. light can also be diffused by refraction. describe how this occurs in a specific situation, such as light interacting with crushed ice. 3. why is the index of refraction always greater than or equal to 1? 4. does t... | openstax_college_physics_2e-web_7zesafu | [
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25. 4 total internal reflection 10. a ring with a colorless gemstone is dropped into water. the gemstone becomes invisible when submerged. can it be a diamond? explain. 11. a high - quality diamond may be quite clear and colorless, transmitting all visible wavelengths with little absorption. explain how it can sparkle ... | openstax_college_physics_2e-web_7zesafu | [
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25. 6 image formation by lenses 14. it can be argued that a flat piece of glass, such as in a window, is like a lens with an infinite focal length. if so, where does it form an image? that is, how are and related? 15. you can often see a reflection when looking at a sheet of glass, particularly if it is darker on the o... | openstax_college_physics_2e-web_7zesafu | [
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25. 7 image formation by mirrors 19. what are the differences between real and virtual images? how can you tell ( by looking ) whether an image formed by a single lens or mirror is real or virtual? 20. can you see a virtual image? can you photograph one? can one be projected onto a screen with additional lenses or mirr... | openstax_college_physics_2e-web_7zesafu | [
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rear - view mirrors in vehicles? what is the main disadvantage of using such a mirror compared with a flat one? problems & exercises 25. 1 the ray aspect of light 1. suppose a man stands in front of a mirror as shown in figure 25. 48. his eyes are 1. 65 m above the floor, and the top of his head is 0. 13 m higher. find... | openstax_college_physics_2e-web_7zesafu | [
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25. 2 the law of reflection 2. show that when light reflects from two mirrors that meet each other at a right angle, the outgoing ray is parallel to the incoming ray, as illustrated in the following figure. figure 25. 49 a corner reflector sends the reflected ray back in a direction parallel to the incident ray, indepe... | openstax_college_physics_2e-web_7zesafu | [
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25. 3 the law of refraction 5. what is the speed of light in water? in glycerine? 6. what is the speed of light in air? in crown glass? 7. calculate the index of refraction for a medium in which the speed of light is, and identify the most likely substance based on table 25. 1. 8. in what substance in table 25. 1 is th... | openstax_college_physics_2e-web_7zesafu | [
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0. 200 m through such a fiber? 12. ( a ) given that the angle between the ray in the water and the perpendicular to the water is, and using information in figure 25. 51, find the height of the instructor ’ s head above the water, noting that you will first have to calculate the angle of refraction. ( b ) find the appar... | openstax_college_physics_2e-web_7zesafu | [
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occur ). figure 25. 52 a ray of light passes from one medium to a third by traveling through a second. the final direction is the same as if the second medium were not present, but the ray is displaced by ( shown exaggerated ). 17. unreasonable results suppose light travels from water to another substance, with an angl... | openstax_college_physics_2e-web_7zesafu | [
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25. 4 total internal reflection 20. verify that the critical angle for light going from water to air is, as discussed at the end of example 25. 4, regarding the critical angle for light traveling in a polystyrene ( a type of plastic ) pipe surrounded by air. 21. ( a ) at the end of example 25. 4, it was stated that the... | openstax_college_physics_2e-web_7zesafu | [
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glass, any incident ray will be totally internally reflected. figure 25. 54 a light ray enters the end of a fiber, the surface of which is perpendicular to its sides. examine the conditions under which it may be totally internally reflected. | openstax_college_physics_2e-web_7zesafu | [
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25. 5 dispersion : the rainbow and prisms 28. ( a ) what is the ratio of the speed of red light to violet light in diamond, based on table 25. 2? ( b ) what is this ratio in polystyrene? ( c ) which is more dispersive? 29. a beam of white light goes from air into water at an incident angle of. at what angles are the re... | openstax_college_physics_2e-web_7zesafu | [
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as shown in figure 25. 55. at what angles, and, do the red ( 660 nm ) and violet ( 410 nm ) components of the light emerge from the prism? figure 25. 55 this prism will disperse the white light into a rainbow of colors. the incident angle is, and the angles at which the red and violet light emerge are and. | openstax_college_physics_2e-web_7zesafu | [
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25. 6 image formation by lenses 36. what is the power in diopters of a camera lens that has a 50. 0 mm focal length? 37. your camera ’ s zoom lens has an adjustable focal length ranging from 80. 0 to 200 mm. what is its range of powers? 38. what is the focal length of 1. 75 d reading glasses found on the rack in a phar... | openstax_college_physics_2e-web_7zesafu | [
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36. 0 mm, what are the dimensions of the image? explicitly show how you follow the steps in the problem - solving strategy for lenses. 42. a doctor examines a mole with a 15. 0 cm focal length magnifying glass held 13. 5 cm from the mole ( a ) where is the image? ( b ) what is its magnification? ( c ) how big is the im... | openstax_college_physics_2e-web_7zesafu | [
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##er in diopters. ( c ) discuss how this power compares to those for store - bought reading glasses ( typically 1. 0 to 4. 0 d ). is the magnifier ’ s power greater, and should it be? 48. what magnification will be produced by a lens of power – 4. 00 d ( such as might be used to correct myopia ) if an object is held 25... | openstax_college_physics_2e-web_7zesafu | [
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7. 50 cm from a 10. 0 cm focal length lens was found to be 4. 00. ( a ) find the magnification for the book when it is held 8. 50 cm from the magnifier. ( b ) do the same for when it is held 9. 50 cm from the magnifier. ( c ) comment on the trend in m as the object distance increases as in these two calculations. 50. s... | openstax_college_physics_2e-web_7zesafu | [
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25. 7 image formation by mirrors 53. what is the focal length of a makeup mirror that has a power of 1. 50 d? 54. some telephoto cameras use a mirror rather than a lens. what radius of curvature mirror is needed to replace a 800 mm focal length telephoto lens? 55. ( a ) calculate the focal length of the mirror formed b... | openstax_college_physics_2e-web_7zesafu | [
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org 60. ray tracing for a flat mirror shows that the image is located a distance behind the mirror equal to the distance of the object from the mirror. this is stated, since this is a negative image distance ( it is a virtual image ). ( a ) what is the focal length of a flat mirror? ( b ) what is its power? 61. show th... | openstax_college_physics_2e-web_7zesafu | [
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longer one surface moves relative to the other, the more the friction acts, slowing the relative motion during the process. is this the same for light in a medium? ( c ) in a mechanical situation, it is possible for friction to stop the motion if it occurs over a long enough path. is this the same for light in a medium... | openstax_college_physics_2e-web_7zesafu | [
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26. 6 aberrations explore how the image on the computer screen is formed. how is the image formation on the computer screen different from the image formation in your eye as you look down the microscope? how can videos of living cell processes be taken for viewing later on, and by many different people? seeing faces an... | openstax_college_physics_2e-web_7zesafu | [
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and wave optics ( see wave optics ). | openstax_college_physics_2e-web_7zesafu | [
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26. 1 physics of the eye learning objectives by the end of this section, you will be able to : • explain the image formation by the eye. • explain why peripheral images lack detail and color. • define refractive indices. • analyze the accommodation of the eye for distant and near vision. early thinkers had a wide array... | openstax_college_physics_2e-web_7zesafu | [
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greatest density of light receptors and the greatest acuity ( sharpness ) in the visual field. the variable opening ( or pupil ) of the eye along with chemical adaptation allows the eye to detect light intensities from the lowest observable to times greater ( without damage ). this is an incredible range of detection. ... | openstax_college_physics_2e-web_7zesafu | [
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light rays pass through several layers of material ( such as cornea, aqueous humor, several layers in the lens, and vitreous humor ), changing direction at each interface. the image formed is much like the one produced by a single convex lens. this is a case 1 image. images formed in the eye are inverted but the brain ... | openstax_college_physics_2e-web_7zesafu | [
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1. 34 table 26. 1 refractive indices relevant to the eye figure 26. 3 an image is formed on the retina with light rays converging most at the cornea and upon entering and exiting the lens. rays from the top and bottom of the object are traced and produce an inverted real image on the retina. the distance to the object ... | openstax_college_physics_2e-web_7zesafu | [
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26. 1 • physics of the eye 1153 figure 26. 4 relaxed and accommodated vision for distant and close objects. ( a ) light rays from the same point on a distant object must be nearly parallel while entering the eye and more easily converge to produce an image on the retina. ( b ) light rays from a nearby object can diverg... | openstax_college_physics_2e-web_7zesafu | [
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26. 2 take - home experiment : the pupil look at the central transparent area of someone ’ s eye, the pupil, in normal room light. estimate the diameter of the pupil. now turn off the lights and darken the room. after a few minutes turn on the lights and promptly estimate the diameter of the pupil. what happens to the ... | openstax_college_physics_2e-web_7zesafu | [
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image must be on the retina, and so here. for distant vision,, and for close vision,, as discussed earlier. the equation as written just above, can be used directly to solve for in both cases, since we know and. power has units of diopters, where, and so we should express all distances in meters. solution for distant v... | openstax_college_physics_2e-web_7zesafu | [
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26. 1 • physics of the eye 1155 since, this gives now, for close vision, discussion for an eye with this typical 2. 00 cm lens - to - retina distance, the power of the eye ranges from 50. 0 d ( for distant totally relaxed vision ) to 54. 0 d ( for close fully accommodated vision ), which is an 8 % increase. this increa... | openstax_college_physics_2e-web_7zesafu | [
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26. 2 vision correction learning objectives by the end of this section, you will be able to : • identify and discuss common vision defects. • explain nearsightedness and farsightedness corrections. • explain laser vision correction. the need for some type of vision correction is very common. common vision defects are e... | openstax_college_physics_2e-web_7zesafu | [
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