SHM, Waves, Thermo, E&M Practice Problem Workbook

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MECHANICS PRACTICE PROBLEM SETS 21 5. A photographic slide is to the left of a lens. The lens projects an image of the slide onto a wall 6.00 m to the right of the slide. The image is -80.0 times the size of the slide. a. How far is the slide from the lens Answer: 7.4 cm b. What is the focal length of the lens Answer: 7.3 cm c. Is it a convergent or divergent lens Explain. 6. An object 8.0 cm high is placed 12.0 cm to the left of a converging lens of focal length 8.0 cm. Find the position and height of the image produced by this lens. Answer: d i = 24 cm; h i = -16 cm a. A second converging lens of focal length 6.0 cm is placed 36.0 cm to the right of the first lens. Both lenses have the same optic axis. If the image from the first lens acts as the object for the second lens, find the position and height of the image produced by the second lens. Answer: d i = 12 cm from second lens; h i = 16 cm b. What are the three characteristics of the final image compared to the original object Answer: upright, M>1, Real 8.2.3 Refraction and Lenses Review 1. (G27) The speed of light in ices is 2.29 x 10 8 m/s. What is the index of refraction of ice Answer: 1.31 2. (G33) Rays of the Sun are seen to make a 21.0° angle to the vertical beneath the water. At what angle above the horizon is the Sun Answer: 61.5° 3. (G35) In searching the bottom of a pool at night, a watchman shines a narrow beam of light from his flashlight, 1.3 m above the water level, onto the surface of the water at a point 2.7 m from his foot at the edge of the pool. Where does the spot of light hit the bottom of the pool, relative to the edge, if the pool is 2.1 m deep Answer: 4.6 m 4. (G37) An aquarium filled with water has flat glass sides whose index of refraction is 1.52. A beam of light from outside the aquarium strikes the glass at a 43.5° angle to the perpendicular. a. What is the angle of this light ray when it enters the glass Answer: 26.9° b. Then what is the angle of this light ray when it enters the water Answer: 31.2° Gamzon & Gregorian-Michaelsen 6/13/12
MECHANICS PRACTICE PROBLEM SETS 22 c. What would be the refracted angle if the ray entered the water directly Answer: 31.2° 5. (G41) The critical angle for a certain liquid-air surface is 44.7°. What is the index of refraction of the liquid Answer: 1.42 6. (G49) Sunlight is observed to focus at a point 18.5 cm behind a lens. a. What kind of lens is it b. What is its power in diopters Answer: 5.41 D 7. (G50) A certain lens focuses an object 2.25 m away as an image 48.3 cm on the other side of the lens. What type of lens is it and what is its focal length Answer: 0.13 m a. What is the magnification of the image Answer: 0.13 m 8. (G53) The Sun’s diameter is 1.4 x 10 6 km and it is 1.5 x 10 8 km away. How large is the image of the Sun on the film used in a camera with… a. a 28-mm focal length lens Answer: -0.26 mm b. a 50-mm focal length lens Answer: -0.47 mm c. a 200-mm focal length lens Answer: -1.9 mm 9. (G55) A -6.0 diopter is held 14.0 cm from an ant 1.0 mm high. What is the position, type, and height of the image Answer: -7.6 cm, 0.54 mm 10. (G57) How far from a 50.0 mm focal length lens must an object be placed if its image is to be magnified 2.00x and be real Answer: 75.0 mm a. What if its image is to be virtual and magnified 2.00x Answer: 25.0 mm Gamzon & Gregorian-Michaelsen 6/13/12
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SHM, Waves, Thermo, E&M Practice Problem Workbook

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