1. An object 4.50 cm tall is placed 20.0 cm from a converging lens. A real image is formed 12.0 cm from the lens.
(a) What is the focal length of the lens?
(b) What is the size of the image?
2. The focal length of a lens is 4.00 cm. How far from the lens, must the object be to produce an image 7.20 cm from the lens?
3. What is the focal length of a convex lens that produces an image three times as large as the object at a distance of 25.0 cm from the lens?
4. What is the focal length of a mirror that forms an image 3.44 m behind a convex mirror of an object 5.33 m in front of the mirror?
5. What are the size and location of an image produced by a convex lens with a focal length of 21.0 cm of an object 11.5 cm from the lens and 3.25 cm high?
6. What is the speed of light passing through a diamond? Table 21.1.
Substance Index of Refraction
Air, dry (STP) ..................................1.00029
Alcohol, ethyl ......................................1.360
Benzene ...............................................1.501
Carbon dioxide (STP) ......................1.00045
Carbon disulfide ..................................1.625
Carbon tetrachloride .............................1.459
Diamond ...............................................2.417
Glass, crown flint ..................................1.575
Lucite ......................................................1.50
Quartz, fused .....................................1.45845
Water, distilled ......................................1.333
Water vapor (STP) .............................1.00025
Zircon ......................................................1.92
7. Find the critical angle of incidence for Lucite. See Table.
Substance Index of Refraction
Air, dry (STP) ..................................1.00029
Alcohol, ethyl ......................................1.360
Benzene ...............................................1.501
Carbon dioxide (STP) ........................1.00045
Carbon disulfide ...................................1.625
Carbon tetrachloride .............................1.459
Diamond ...............................................2.417
Glass, crown flint ..................................1.575
Lucite ......................................................1.50
Quartz, fused .....................................1.45845
Water, distilled ......................................1.333
Water vapor (STP) .............................1.00025
Zircon ......................................................1.92
8. Find the focal length of a concave mirror with an object 39.3 cm in front of it that projects an image 17.8 cm in front of the mirror.
9. (a) Find the height and location of an image produced by a concave mirror with focal length 8.70 cm and an object that is 13.2 cm tall and 19.3 cm from the mirror.
(b) Find the height of the image produced by the mirror if the object is twice as far from the mirror.