Solution:<\/strong><\/span>
\nWhen a person with normal vision relaxes the cilliary muscles of the eye. An object at infinity is in focus. In a nearsighted person , however , a totally relaxed eye focuses only out to a finite distance from the eye- the far point. Thus a person with condition is said to be nearsighted because objects near the eye can be focused , where as objects beyond the far point are fuzzy.<\/p>\nChapter 27 Optical Instruments Q.1P<\/strong>
\n\u00b7 CEPredict\/Explain BIO Octopus Eyes To focus its eyes, an octopus does not change the shape of its lens, as is the case in humans. Instead, an octopus moves its rigid lens back and forth, as in a camera. This changes the distance from the lens to the retina and brings an object into focus. (a) If an object moves closer to an octopus, must the octopus move its lens closer to or farther from its retina to keep the object in focus? (b) Choose the best explanation from among the following:
\nI. The lens must move closer to the retina\u2014that is, farther away from the object\u2014to compensate for the object moving closer to the eye.
\nII. When the object moves closer to the eye, the image produced by the lens will be farther behind the lens; therefore, the lens must move farther from the retina.
\nSolution:<\/strong><\/span>
\n(a) To focus its eyes, an octopus does not change the shape of its lens, as in the case in humans. Instead, an octopus moves its rigid lens back and forth, as in a camera. This changes the distance from the lens to the retina and brings an object into focus.
\nIf an object moves closer to an octopus, the image produced by the lens will be farther behind the lens. Therefore, in order to keep the object in focus, the octopus must move its lens farther from its retina.
\n(b) The correct explanation is option (II).
\nOption (II): When the object moves closer to the eye, the image produced by the lens will be farther behind the lens; therefore, the lens must move farther from the retina.<\/p>\nChapter 27 Optical Instruments Q.2CQ<\/strong>
\nIf a lens is cut in half through a plane perpendicular to its surface, does it show only half an image?
\nSolution:<\/strong><\/span>
\nNo, when the lens is cut into half through plane perpendicular to its surface the focal length lens remains the same. So, the lens now shows the same image.<\/p>\nChapter 27 Optical Instruments Q.2P<\/strong>
\nYour friend is 1.9 m tall. (a) When she stands 3.2 m from you, what is the height of her image formed on the retina of your eye? (Consider the eye to consist of a thin lens 2.5 cm from the retina.) (b) What is the height of her image when she is 4.2 m from you?
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.3CQ<\/strong>
\nIf your near-point distance is N, how close can you stand to a mirror and still be able to focus on your image?
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.3P<\/strong>
\nWhich forms the larger image on the retina of your eye: a 43-ft tree seen from a distance of 210 ft, or a 12-in. flower viewed from a distance of 2.0 ft?
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.4CQ<\/strong>
\nWhen you open your eyes underwater, everything looks blurry. Can this be thought of as an extreme case of nearsightedness or farsightedness? Explain.
\nSolution:<\/strong><\/span>
\nIt looks blurry under water because there will be less refraction of light. When it passes from water to your cornea than when it passes from air to your cornea. Therefore, your eyes simply aren\u2019t converging light enough when they are in water. Since if your eyes do not converge light as much as they can then we can say farsighted ness is caused.
\n<\/p>\nChapter 27 Optical Instruments Q.4P<\/strong>
\nApproximating the eye as a single thin lens 2.60 cm from the retina, find the eye\u2019s near-point distance if the smallest focal length the eye can produce is 2.20 cm.
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.5CQ<\/strong>
\nWould you benefit more from a magnifying glass if your nearpoint distance is 25 cm or if it is 15 cm? Explain.
\nSolution:<\/strong><\/span>
\nA person with the larger near-point distance benefits more from the magnifier. Since a person with the smaller near-point distance can examine an object at closer range than a person with the larger near-point distance.<\/p>\nChapter 27 Optical Instruments Q.5P<\/strong>
\nReferring to Problem 4, what is the focal length of the eye when it is focused on an object at a distance of (a) 285 cm and (b) 28.5 cm?
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.6CQ<\/strong>
\nWhen you use a simple magnifying glass, does it matter whether you hold the object to be examined closer to the lens than its focal length or farther away? Explain.
\nSolution:<\/strong><\/span>
\n
\nYes, it matters; a simple magnifier is nothing more than a convex lens.
\nFrom the above figures we can say that a convex lens forms the images enlarged only when the object is closer to the lens than its focal lengths.<\/p>\nChapter 27 Optical Instruments Q.6P<\/strong>
\n
\nSolution:<\/strong><\/span>
\n
\n
\n<\/p>\nChapter 27 Optical Instruments Q.7CQ<\/strong>
\nIs the final image produced by a telescope real or virtual? Explain.
\nSolution:<\/strong><\/span>
\nThe image formed by the objective is essentially at the focal point of the eye-piece. This means the eyepiece forms a virtual image at infinity that the observer can view with a relaxed eye.
\n
\n<\/p>\nChapter 27 Optical Instruments Q.7P<\/strong>
\nBIO The focal length of the human eye is approximately 1.7 cm. (a) What is the f-number for the human eye in bright light, when the pupil diameter is 2.0 mm? (b) What is the f-number in dim light, when the pupil diameter has expanded to 7.0 mm?
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.8CQ<\/strong>
\nDoes chromatic aberration occur in mirrors? Explain.
\nSolution:<\/strong><\/span>
\nNo, because the image formed by a mirror is due to the reflection of light, but not the refraction of light. Chromatic aberration occurs in lenses because of refraction of different colors of light. Since the reflection of light does not depends on color, the light of all colors bent in the same way by a mirror; therefore there will be no chromatic aberration in the case of mirror.<\/p>\nChapter 27 Optical Instruments Q.8P<\/strong>
\nIP A camera with a 55-mm-focal-length lens has aperture settings of 2.8, 4, 8, 11, and 16. (a) Which setting has the largest aperture diameter? (b) Calculate the five possible aperture diameters for this camera.
\nSolution:<\/strong><\/span>
\n
\n
\n<\/p>\nChapter 27 Optical Instruments Q.9P<\/strong>
\nThe actual frame size of \u201c35-mm\u201d film is 24 mm \u00d7 36 mm. You want to take a photograph of your friend, who is 1.9 m tall. Your camera has a 55-mm-focal-length lens. How far from the camera should your friend stand in order to produce a 36-mm- tall image on the film?
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.10P<\/strong>
\nTo completely fill a frame of \u201c35-mm\u201d film, the image produced by a camera must be 36 mm high. If a camera has a focal length of 150 mm, how far away must a 2.0-m-tall person stand to produce an image that fills the frame?
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.11P<\/strong>
\n\u00b7 \u00b7 You are taking a photograph of a poster on the wall of your dorm room, so you can\u2019t back away any farther than 3.0 m to take the shot. Tire poster is 0.80 m wide and 1.2 m tall, and you want the image to fit in the 24-mm \u00d7 36-mm frame of the film in your camera. What is the longest focal length lens that will work?
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.12P<\/strong>
\nA photograph is properly exposed when the aperture is set to f\/8 and the shutter speed is 125. Find the approximate shutter speed needed to give the same exposure if the aperture is changed to f\/2.4.
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.13P<\/strong>
\nYou are taking pictures of the beach at sunset. Just before the Sun sets, a shutter speed of f\/11 produces a properly exposed picture. Shortly after the Sun sets, however, your light meter indicates that the scene is only one-quarter as bright as before. (a) If you don’t change the aperture, what approximate shutter speed is needed for your second shot? (b) If, instead, you keep the shutter speed at 1\/100 s, what approximate f-stop will be needed for the second shot?
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.14P<\/strong>
\n\u00b7 \u00b7 IP You are taking a photograph of a horse race. A shutter speed of 125 at f\/5.6 produces a properly exposed image, but the running horses give a blurred image. Your camera has f-stops of 2, 2.8, 4, 5.6, 8, 11, and 16. (a) To use the shortest possible exposure time (i.e., highest shutter speed), which f-stop should you use? (b) What is the shortest exposure time you can use and still get a properly exposed image?
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.15P<\/strong>
\nThe Hale Telescope The 200-in. (5.08-m) diameter mirror of the Hale telescope on Mount Palomar has a focal length \u0192 = 16.9 m. (a) When the detector is placed at the focal point of the mirror (the \u201cprime focus\u201d), what is the f-ratio for this telescope? (b) The coud\u00e9 focus arrangement uses additional mirrors to bend the light path and increase the effective focal length to 155.4 m. What is the f-ratio of the telescope when the coud\u00e9 focus is being used? (Coud\u00e9 is French for \u201celbow,\u201d since the light path is \u201cbent like an elbow.\u201d This arrangement is useful when the light needs to be focused onto a distant instrument.)
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.16P<\/strong>
\n\u00b7 CEPredict\/Explain Two professors arc stranded on a deserted island. Both wear glasses, though one is nearsighted and the other is farsighted. (a) Which person\u2019s glasses should be used to focus the rays of the Sun and start a fire? (b) Choose the best explanation from among the following:
\nI. A nearsighted person can focus close, so that person\u2019s glasses should be used to focus the sunlight on a piece of moss at a distance of a couple inches.
\nII. A farsighted person can\u2019t focus close, so the glasses to correct that person\u2019s vision are converging. A converging lens is what you need to concentrate the rays of the Sun.
\nSolution:<\/strong><\/span>
\n1403-27-16P SA Code: 6078.
\nSR Code:5784
\n(a). We know that the farsighted person uses converging glasses. The convex lens focuses light from an object inside near point to produce an image that is beyond the near point. Therefore the farsighted person\u2019s glasses are used to start the fire.
\n(b)Therefore the best explanation is II<\/p>\nChapter 27 Optical Instruments Q.17P<\/strong>
\n\u00b7 CE A clerk at the local grocery store wears glasses that make her eyes look larger than they actually are. Is the clerk nearsighted or farsighted? Explain.
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.18P<\/strong>
\nCE The umpire at a baseball game wears glasses that make his eyes look smaller than they actually are. Is the umpire nearsighted or farsighted? Explain.
\nSolution:<\/strong><\/span>
\nBy wearing diverging lens the eyes appear smaller than the actual one. If the Umpire wears diverging lens then he should be nearsighted.<\/p>\nChapter 27 Optical Instruments Q.19P<\/strong>
\nConstruct a ray diagram for Active Example 27\u20132.
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.20P<\/strong>
\nThe cornea of a normal human eye has an optical power of +43.0 diopters. What is its focal length?
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.21P<\/strong>
\nA myopic student is shaving without his glasses. If Iris eyes have a far point of 1.6 m, what is the greatest distance he can stand from the mirror and still see his image clearly?
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.22P<\/strong>
\nAn eyeglass prescription calls for a lens with an optical power of +2.7 diopters. What is the focal length of this lens?
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.23P<\/strong>
\nTwo thin lenses, with f1 = +25.0 cm and f2 = \u201442.5 cm, are placed hr contact. What is the focal length of this combination?
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.24P<\/strong>
\nTwo thin lenses have refractive powers of +4.00 diopters and \u20142.35 diopters. What is the refractive power of the two if they are placed in contact? (Note that these are the same two lenses described in the previous problem.)
\nSolution:<\/strong><\/span>
\n
\n
\n<\/p>\nChapter 27 Optical Instruments Q.25P<\/strong>
\nTwo concave lenses, each with \u0192 = \u201412 cm, are separated by 6.0 cm. An object is placed 24 cm in front of one of the lenses. Find (a) the location and (b) the magnification of the final image produced by this lens combination.
\nSolution:<\/strong><\/span>
\n
\n
\n
\n<\/p>\nChapter 27 Optical Instruments Q.26P<\/strong>
\nIP BIO The focal length of a relaxed human eye is approximately 1.7 cm. When we focus our eyes on a close-up object, we can change the refractive power of the eye by about 16 diopters. (a) Does the refractive power of our eyes increase or decrease by 16 diopters when we focus closely? Explain. (b) Calculate the focal length of the eye when we focus closely.
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.27P<\/strong>
\nIP BIO Diopter Change in Diving Cormorants Double- crested cormorants (Phalacrocorax auritus) are extraordinary birds\u2014they can focus on objects in the air, just like we can, but they can also focus underwater as they pursue their prey. To do so, they have one of the largest accommodation ranges in nature\u2014 that is, they can change the focal length of their eyes by amounts that are greater than is possible in other animals. When a cormorant plunges into the ocean to catch a fish, it can change the refractive power of its eyes by about 45 diopters, as compared to only 16 diopters of change possible in the human eye. (a) Should this change of 45 diopters be an increase or a decrease? Explain. (b) If the focal length of the cormorant\u2019s eyes is 4.2 mm before it enters the water, what is the focal length after the refractive power changes by 45 diopters?
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.28P<\/strong>
\nA converging lens of focal length 8.000 cm is 20.0 cm to the left of a diverging lens of focal length \u20136.00 cm. A coin is placed 12.0 cm to the left of the converging lens. Find (a) the location and (b) the magnification of the coin\u2019s final image.
\nSolution:<\/strong><\/span>
\n
\n
\n<\/p>\nChapter 27 Optical Instruments Q.29P<\/strong>
\nRepeat Problem 28, this time with the coin placed 18.0 cm to the right of the diverging lens.
\nSolution:<\/strong><\/span>
\n
\n
\n<\/p>\nChapter 27 Optical Instruments Q.30P<\/strong>
\nFind the focal length of contact lenses that would allow a farsighted person with a near-point distance of 176 cm to read a book at a distance of 10.1 cm.
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.31P<\/strong>
\nFind the focal length of contact lenses that would allow a nearsighted person with a 135-cm far point to focus on the stars at night.
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.32P<\/strong>
\nWhat focal length should a pair of contact lenses have if they are to correct the vision of a person with a near point of 56 cm?
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.33P<\/strong>
\nA nearsighted person wears contacts with a focal length of \u20138.5 cm. Tf this person\u2019s far-point distance with her contacts is 8.5 m, what is her uncorrected far-point distance?
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.34P<\/strong>
\nWithout Iris glasses, Isaac can see objects clearly only if they are less than 4.5 m from his eyes. What focal length glasses worn 2.1 cm from his eyes will allow Isaac to see distant objects clearly?
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.35P<\/strong>
\nA person whose near-point distance is 49 cm wears a pair of glasses that are 2.0 cm from her eyes. With the aid of these glasses, she can now focus on objects 25 cm away from her eyes. Find the focal length and refractive power of her glasses.
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.36P<\/strong>
\nA pair of eyeglasses is designed to allow a person with a far- point distance of 2.50 m to read a road sign at a distance of 25.0 m. Find the focal length required of these glasses if they are to be worn (a) 2.00 cm or (b) 1.00 cm from the eyes.
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.37P<\/strong>
\nIP Your favorite aunt can read a newspaper only if it is within 15.0 cm of her eyes. (a) Is your aunt nearsighted or farsighted? Explain. (b) Should your aunt wear glasses that are converging or diverging to improve her vision? Explain. (c) How many diopters of refractive power must her glasses have if they are worn 2.00 cm from the eyes and allow her to read a newspaper at a distance of 25.0 cm?
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.38P<\/strong>
\nIP The relaxed eyes of a patient have a refractive power of
\n48.5 diopters. (a) Is this patient nearsighted or farsighted? Explain. (b) If this patient is nearsighted, find the far point. If this person is farsighted, find the near point. (For the purposes of this problem, treat the eye as a single-lens system, with the retina 2.40 cm from the lens.)
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.39P<\/strong>
\nIP You are comfortably reading a book at a distance of 24 cm. (a) What is the refractive power of your eyes? (b) Does the refractive power of your eyes increase or decrease when you move the book farther away? Explain. (For the purposes of this problem, treat the eye as a single-lens system, with the retina 2.40 cm from the lens.)
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.40P<\/strong>
\nWithout glasses, your Uncle Albert can sec things clearly only if they are between 25 cm and 170 cm from his eyes. (a) What power eyeglass lens will correct your uncle\u2019s myopia? Assume the lenses will sit 2.0 cm from his eyes. (b) What is your uncle\u2019s near point when wearing these glasses?
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.41P<\/strong>
\nA 2.05-cm-tall object is placed 30.0 cm to the left of a converging lens with a focal length f1 = 20.5 cm. A diverging lens, with a focal length f2 = \u201342.5 cm, is placed 30.0 cm to the right of the first lens. How tall is the final image of the object?
\nSolution:<\/strong><\/span>
\n
\n
\n<\/p>\nChapter 27 Optical Instruments Q.42P<\/strong>
\nA simple camera telephoto lens consists of two lenses. The objective lens has a focal length f1 = +39.0 cm. Precisely 36.0 cm behind this lens is a concave lens with a focal length f2 = \u201310.0 cm. The object to be photographed is 4.00 m in front of the objective lens. (a) How far behind the concave lens should the film be placed? (b) What is the linear magnification of this lens combination?
\nSolution:<\/strong><\/span>
\n
\n
\n<\/p>\nChapter 27 Optical Instruments Q.43P<\/strong>
\nIP With unaided vision, a librarian can focus only on objects that lie at distances between 5.0 m and 0.50 m. (a) Which type of lens (converging or diverging) is needed to correct his nearsightedness? Explain. (b) Which type of lens will correct his farsightedness? Explain. (c) Find the refractive power needed for each part of the bifocal eyeglass lenses that will give the librarian normal visual acuity from 25 cm out to infinity. (Assume the lenses rest 2.0 cm from his eyes.)
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.44P<\/strong>
\nIP With unaided vision, a physician can focus only on objects that lie at distances between 5.0 m and 0.50 m. (a) Which type of lens (converging or diverging) is needed to correct her nearsightedness? Explain. (b) Which type of lens will correct her farsightedness? Explain. (c) Find the refractive power needed for each part of the bifocal contact lenses that will give the physician normal visual acuity from 25 cm out to infinity.
\nSolution:<\/strong><\/span>
\nThe physician can focus only on objects that lie at distances between 5.0 m and 0.50 m.so physician has nearsightedness.
\n(a)
\nIn a nearsighted a person, however, a totally relaxed eyes focuses only out to a finite distance from the eye. Thus a person with this condition is said to be nearsighted because objects near the eye can be focused.
\nThe diverging lens can produce an image of a distant object at physician far point distance, so, the physician should wear glasses with diverging lenses.
\n(b)
\nA Converging lens in front of the eye can correct for farsightedness. The convex lens focuses light from an object inside the near point to produce an image that is beyond the near point. The eye can now focus on the image of the object.
\n<\/p>\nChapter 27 Optical Instruments Q.45P<\/strong>
\nA person\u2019s prescription for her new bifocal glasses calls for a refractive power of \u20130.445 diopter in the distance-vision part, and a power of +1.85 diopters in the close-vision part. What are the near and far points of this person\u2019s uncorrected vision? Assume the glasses are 2.00 cm from the person\u2019s eyes, and that the person\u2019s near-point distance is 25.0 cm when wearing the glasses.
\nSolution:<\/strong><\/span>
\n
\n
\n<\/p>\nChapter 27 Optical Instruments Q.46P<\/strong>
\nA person\u2019s prescription for his new bifocal eyeglasses calls for a refractive power of \u20130.0625 diopter in the distance-vision part and a power of +1.05 diopters in the close-vision part. Assuming the glasses rest 2.00 cm from Iris eyes and that the corrected near-point distance is 25.0 cm, determine the near and far points of this person\u2019s uncorrected vision.
\nSolution:<\/strong><\/span>
\n
\n
\n
\n
\n<\/p>\nChapter 27 Optical Instruments Q.47P<\/strong>
\nTwo lenses, with f1 = +20.0 cnr and f2 = +30.0 cm, are placed on the x axis, as shown in Figure 27-22. An object is fixed 50.0 cm to the left of lens 1, and lens 2 is a variable distance x to the right of lens 1. Find the lateral magnification and location of the final image relative to lens 2 for the following cases: (a) x = 115 cm; (b) x = 30.0 cm; (c) x = 0. (d) Show that your result for part (c) agrees with the relation for the effective focal length of two lenses in contact, 1\/feff = l\/f1 + 1\/f2.
\n
\nSolution:<\/strong><\/span>
\n
\n
\n
\n
\n
\n<\/p>\nChapter 27 Optical Instruments Q.48P<\/strong>
\nA converging lens with a focal length of 4.0 cm is to the left of a second identical lens. When a feather is placed 12 cm to the left of the first lens, the final image is the same size and orientation as the feather itself. What is the separation between the lenses?
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.49P<\/strong>
\nThe Moon is 3476 km in diameter and orbits the Earth at an average distance of 384,400 km. (a) What is the angular size of the Moon as seen from Earth? (b) A penny is 19 mm in diame- ter. How far from your eye should the penny be held to produce the same angular diameter as the Moon?
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.50P<\/strong>
\nA magnifying glass is a single convex lens with a focal length of \u0192 = +14.0 cm. (a) What is the angular magnification when this lens forms a (virtual) image at \u2014\u221e? How far from the object should the lens be held? (b) What is the angular magnification when this lens forms a (virtual) image at the person\u2019s near point (assumed to be 25 cm)? How far from the object should the lens be held in this case?
\nSolution:<\/strong><\/span>
\n
\n<\/p>\nChapter 27 Optical Instruments Q.51P<\/strong>
\nIP A student has two lenses, one of focal length f1 = 5.0 cm and the other with focal length f2 = 13 cm. (a) When used as a simple magnifier, which of these lenses can produce the greater magnification? Explain, (b) Find the maximum magnification produced by each of these lenses.
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.52P<\/strong>
\nA beetle 4.73 mm long is examined with a simple magnifier of focal length f = 10.1 cm. If the observer\u2019s eye is relaxed while using the magnifier, and has a near-point distance of 25.0 cm, what is the apparent length of the beetle?
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.53P<\/strong>
\nTo engrave wishes of good luck on a watch, an engraver uses a magnifier whose focal length is 8.65 cm. If the image formed by the magnifier is at the engraver\u2019s near point of 25.6 cm, find (a) the distance between the watch and the magnifier and (b) the angular magnification of the engraving. Assume the magnifying glass is directly in front of the engraver\u2019s eyes.
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.54P<\/strong>
\nA jeweler examines a diamond with a magnifying glass. If the near-point distance of the jeweler is 20.8 cm, and the focal length of the magnifying glass is 7.50 cm, find the angular magnification when the diamond is held at the focal point of the magnifier. Assume the magnifying glass is directly in front of the jeweler\u2019s eyes.
\nSolution:<\/strong><\/span>
\n<\/p>\nChapter 27 Optical Instruments Q.55P<\/strong>