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17 An object is located 200 cm in front of a convex mirror with a 150-cm focal length Find the image position using both a scale diagram and the mirror equation 18 A convex mirror has a focal length of 130 cm A lightbulb with a diameter of 60 cm is placed 600 cm from the mirror What is the lightbulb s image position and diameter 19 A convex mirror is needed to produce an image that is three-fourths the size of an object and located 24 cm behind the mirror What focal length should be specified 20 A 76-cm-diameter ball is located 220 cm from a convex mirror with a radius of curvature of 600 cm What are the ball s image position and diameter 21 A 18-m-tall girl stands 24 m from a store s security mirror Her image appears to be 036 m tall What is the focal length of the mirror

Table 17-1

where XPMJ = nonlinear phase shift of the j th channel after propagating a distance L PMaxj = maximum peak launch power for channel j assuming all channel powers are equal and the fiber has zero dispersion, W M = number of channels Table 76 lists estimated maximum launch powers for typical multichannel systems derived from Eq (746) using the following

(negative)

(negative)

(negative)

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How do the various types of mirrors compare Table 17-1 compares the properties of single-mirror systems with objects that are located on the principal axis of the mirror Virtual images are always behind the mirror, which means that the image position is negative When the absolute value of a magnification is between zero and one, the image is smaller than the object A negative magnification means the image is inverted relative to the object Notice that the single plane mirror and convex mirror produce only virtual images, whereas the concave mirror can produce real images or virtual images Plane mirrors give simple reflections, and convex mirrors expand the field of view A concave mirror acts as a magnifier when an object is within the focal length of the mirror

22 Image Properties If you know the focal length of a concave mirror, where should you place an object so that its image is upright and larger compared to the object Will this produce a real or virtual image 23 Magnification An object is placed 200 cm in front of a concave mirror with a focal length of 90 cm What is the magnification of the image 24 Object Position The placement of an object in front of a concave mirror with a focal length of 120 cm forms a real image that is 223 cm from the mirror What is the object position 25 Image Position and Height A 30-cm-tall object is placed 220 cm in front of a concave mirror having a focal length of 120 cm Find the image position and height by drawing a ray diagram to scale Verify your answer using the mirror and magnification equations

Channel Maximum Launch Power (dBm) 0 3 6 7 TABLE 76 Number of Channels (M) 8 16 32 40

26 Ray Diagram A 40-cm-tall object is located 140 cm from a convex mirror with a focal length of 120 cm Draw a scale ray diagram showing the image position and height Verify your answer using the mirror and magnification equations 27 Radius of Curvature A 60-cm-tall object is placed 164 cm from a convex mirror If the image of the object is 28 cm tall, what is the radius of curvature of the mirror 28 Focal Length A convex mirror is used to produce an image that is two-thirds the size of an object and located 12 cm behind the mirror What is the focal length of the mirror 29 Critical Thinking Would spherical aberration be less for a mirror whose height, compared to its radius of curvature, is small or large Explain

A concave mirror reflects light rays that arrive parallel to the principal axis through the focal point Depending on the object position, different types of images can be formed Real images can be projected onto a screen while virtual images cannot In this experiment you will investigate how changing the object position affects the image location and type

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