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35 - Kapoor(mk9499 homework35 Turner(60230 This print-out...

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Kapoor (mk9499) – homework35 – Turner – (60230) 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 3) 10.0 points A convex mirror is placed on the ceiling at the intersection of two hallways. If a young man stands directly underneath the mirror, his shoe, which is a distance of 204 cm from the mirror, forms an image that appears 13.7 cm behind the mirror’s surface. a) What is the mirror’s focal length? Correct answer: - 14 . 6863 cm. Explanation: Let : q = - 13 . 7 cm and p = 204 cm . 1 f = 1 p + 1 q f = parenleftbigg 1 p + 1 q parenrightbigg 1 = parenleftbigg 1 204 cm + 1 - 13 . 7 cm parenrightbigg 1 = - 14 . 6863 cm . 002 (part 2 of 3) 10.0 points b) What is the magnification of the image? Correct answer: 0 . 0671569. Explanation: M = - q p = - - 13 . 7 cm 204 cm = 0 . 0671569 . 003 (part 3 of 3) 10.0 points c) Describe the image. 1. virtual, inverted, larger 2. real, inverted, larger 3. virtual, inverted, smaller 4. real, inverted, smaller 5. real, upright, larger 6. real, upright, smaller 7. None of these 8. virtual, upright, smaller correct 9. virtual, upright, larger Explanation: q < 0 so the image is virtual. M > 0 so the image is upright. | M | < 1 so the image is reduced. 004 (part 1 of 3) 10.0 points A concave spherical mirror can be used to project an image onto a sheet of paper, allow- ing the magnified image of an illuminated real object to be accurately traced. a) If you have a concave mirror with a focal length of 19 cm, where would you place a sheet of paper so that the image projected onto it is twice as far from the mirror as the object is? Correct answer: 57 cm. Explanation: Let : f = 19 cm and q = 2 p . p = q 2 , so 1 f = 1 p + 1 q = 2 q + 1 q = 3 q q = 3 f = 3(19 cm) = 57 cm . 005 (part 2 of 3) 10.0 points b) What is the magnification of the image? Correct answer: - 2. Explanation: M = - q p = - 2 p p = - 2 . 006 (part 3 of 3) 10.0 points
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Kapoor (mk9499) – homework35 – Turner – (60230) 2 c) Describe the image. 1. None of these 2. virtual, upright, smaller 3. real, upright, smaller 4. virtual, upright, larger 5. real, upright, larger 6. real, inverted, larger correct 7. virtual, inverted, smaller 8. real, inverted, smaller 9. virtual, inverted, larger Explanation: q > 0 so the image is real. M < 0 so the image is inverted. | M | > 1 so the image is magnified.
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