Quiz-solution - Version 123 quiz markert(58710 This...

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Version 123 – quiz – markert – (58710) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Consider a divergent lens with a focal length f . An upright object is placed within the interval f and 2 f to the left of the lens. 2 f 2 f f f The corresponding image is 1. real, upright, and reduced. 2. real, upright, and enlarged. 3. non-existant. 4. virtual, inverted, and the same size. 5. virtual, upright, and enlarged. 6. virtual, upright, and reduced. correct 7. virtual, inverted, and reduced. 8. virtual, upright, and the same size. 9. real, upright, and the same size. 10. virtual, inverted, and enlarged. Explanation: 2 f f The focal length for a diverging lens is neg- ative. f = -| f | < 0 Then the lens equation reads 1 p + 1 q = - 1 | f | where p > 0 and q are the object and image distances respectively. Solving for q yields q = - | f | p p + | f | < 0 Since q < 0, by convention the image is vir- tual. Since the magnification is less than one the image is reduced. 002 10.0 points A person in a boat sees a fish in the water of index 1 . 33 at an angle of 59 relative to the water’s surface. What is the true angle relative to the wa- ter’s surface? 1. 66.5196 2. 53.0959 3. 53.6662 4. 59.1508 5. 57.8824 6. 51.4398 7. 67.2167 8. 51.9824 9. 49.8728 10. 54.245 Correct answer: 67 . 2167 . Explanation: θ i = π 2 - θ water sin θ i = n 2 sin θ r θ fish = π 2 - θ r 003 10.0 points A concave mirror has a focal length of 27 cm. What is the position of the resulting image if the image is inverted and 4 times smaller than the object? 1. 13.5 2. 17.1429 3. 61.2 4. 53.7143 5. 9.12 6. 24.0 7. 18.6667 8. 62.5
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Version 123 – quiz – markert – (58710) 2 9. 40.8 10. 33.75 Correct answer: 33 . 75 cm. Explanation: 1 p + 1 q = 1 f = 2 R m = h h = - q p Concave Mirror f > 0 > p > f f < q < 0 > m > -∞ f > p > 0 -∞ < q < 0 > m > 1 Let : f = 27 cm and n = 4 . Since the image is inverted, n = - 1 m . From the mirror equation 1 p + 1 q = 1 f and p q = n , so 1 n q + 1 q = 1 f q = ( n + 1) f n = (4 + 1) (27 cm) 4 = 33 . 75 cm .
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