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Chapter 23

# Chapter 23 - CHAPTER 23 Quick Quizzes 1 At C A B C D E 2 1...

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C HAPTER 23 Quick Quizzes 1. At C. 1 2 θ A E D C B θ 2. (c). Since , the virtual image of the fish formed by refraction at the flat water surface is closer to the surface than is the fish. See Equation 23.9. water air nn > 3. (a) False. A concave mirror forms an inverted image when the object distance is greater than the focal length. (b) False. The magnitude of the magnification produced by a concave mirror is greater than 1 if the object distance is less than the radius of curvature. (c) True 4. (b). In this case, the index of refraction of the lens material is less than that of the surrounding medium. Under these conditions, a biconvex lens will be divergent. 5. Although a ray diagram only uses 2 or 3 rays (those whose direction is easily determined using only a straight edge), an infinite number of rays leaving the object will always pass through the lens. 6. (a) False. A virtual image is formed on the left side of the lens if pf < . (b) True. An upright, virtual image is formed when < , while an inverted, real image is formed when . > (c) False. A magnified, real image is formed if 2 fp f >> , and a magnified, virtual image is formed if . < 235

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CHAPTER 23 Problem Solutions 23.1 If you stand 40 cm in front of the mirror, the time required for light scattered from your face to travel to the mirror and back to your eye is ( ) 9 8 22 0 . 40 m 2. 71 0 s 3. 01 0 ms d t c ∆= = = × × . Thus, the image you observe shows you 9 ~10 s younger than your current age. 23.2 In the figure at the right, θ = since they are vertical angles formed by two intersecting straight lines. Their complementary angles are also equal or α = . The right triangles PQR and P'QR have the common side QR and are then congruent by the angle-side-angle theorem. Thus, the corresponding sides PQ and P'Q are equal, or the image is as far behind the mirror as the object is in front of it. Object Image Mirror θ P R PQ α α′ θ′ θ θ 23.3 (1) The first image in the left-hand mirror is 5.00 ft behind the mirror, or 10.0 ft from the person . (2) The first image in the right-hand mirror serves as an object for the left-hand mirror. It is located 10.0 ft behind the right-hand mirror, which is 25.0 ft from the left-hand mirror. Thus, the second image in the left-hand mirror is 25.0 ft behind the mirror, or 30.0 ft from the person . (3) The first image in the left-hand mirror serves as an object for the right-hand mirror. It is located 20.0 ft in front of the right-hand mirror and forms an image 20.0 ft behind that mirror. This image then serves as an object for the left-hand mirror. The distance from this object to the left-hand mirror is 35.0 ft. Thus, the third image in the left-hand mirror is 35.0 ft behind the mirror, or 40.0 ft from the person . 236
CHAPTER 23 23.4 The virtual image is as far behind the mirror as the choir is in front of the mirror. Thus, the image is 5.30 m behind the mirror.

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Chapter 23 - CHAPTER 23 Quick Quizzes 1 At C A B C D E 2 1...

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