E6. A positive lens has a focal length of 12 cm. An object is E12. A convex mirror has a focal length of -15 cm. An object is located at a distance of 4 cm from the lens. located 15 cm from the surface of the mirror. a. How far from the lens is the image? a. How far from the mirror is the image of this object? b. Is the image real or virtual, upright or inverted? b. Is the image real or virtual, upright or inverted? c. Trace three rays from the top of the object to confirm your c. Trace three rays from the top of the object to confirm your results. numerical results. E7. A positive lens forms a real image of an object placed 6 cm E13. A convex mirror used in a store aisle has a focal length of to the left of the lens. The real image is found 17 cm to the -62 cm. A person in the aisle is 3.1 m from the mirror. right of the lens. What is the focal length of the lens? a. How far from the mirror is the image of this object? E8. A negative lens has a focal length of -15 cm. An object is b. If the person is 1.7 m tall, how tall is the image viewed in the mirror? located 27 cm from the lens. a. How far from the lens is the image? E14. The objective lens of a microscope has a focal length of b. Is the image real or virtual, upright or inverted? 0.6 cm. An object on the microscope slide is placed at a E9. A magnifying glass with a focal length of +3 cm is placed distance of 0.9 cm from the lens. 2 cm above a page of print. a. At what distance from the lens is the image formed by the a. At what distance from the lens is the image of the objective lens? b. What is the magnification of this image? page? b. What is the magnification of this image? E15. The objective lens of a telescope has a focal length of 1.5 m. E10. A concave mirror has a focal length of 22 cm. An object is An object is located at a distance of 8 m from the lens. located 9 cm from the surface of the mirror. a. At what distance from the objective lens is the image a. How far from the mirror is the image of this object? formed by this lens? b. Is the image real or virtual, upright or inverted? b. What is the magnification of this image? Ell. A concave mirror has a focal length of 18 cm. An object is E16. A telescope has an objective lens with a focal length of located 45 cm from the surface of the mirror. +69 cm and an eyepiece with a focal length of +2.3 cm. What a. How far from the mirror is the image of this object? is the angular magnification produced by this telescope? b. Is the image real or virtual, upright or inverted? E17. A telescope that produces an overall angular magnification c. Trace three rays from the top of the object to confirm your of 25x uses an eyepiece lens with a focal length of 1.8 cm. numerical results. What is the focal length of the objective lens