1. Fill in the following table. Each row refers to a combination of an object and either a plane mirror, a spherical concave mirror, or a spherical convex mirror. Distances are in cm. If a number lacks a sign, find the sign. Sketch a ray diagram for each combination, showing enough rays to locate the image.
| Type | f | R | d2 | d1 | m | Real? | Inverted? |
|---|---|---|---|---|---|---|---|
| a. Concave | 20 | +10 | |||||
| b. | +10 | +1.0 | No | ||||
| c. | +20 | +30 | |||||
| d. | +60 | -0.5 | |||||
| e. | -40 | -10 | |||||
| f. | 20 | +0.1 | |||||
| g. Convex | 40 | 4.0 | |||||
| h. | +24 | 0.5 | Yes |
2. Fill in the following table. Each row refers to a combination of an object and a converging (C) or diverging (D) thin lens. You may not be able to determine every number in the table. Distances are in cm. If a number lacks a sign, find the sign (except for the index of refraction). Sketch a ray diagram for each combination, showing enough rays to locate the image.
| Type | f | R1 | R2 | d1 | d2 | n | m | Real? | Inverted? |
|---|---|---|---|---|---|---|---|---|---|
| a. C | 10 | +20 | |||||||
| b. | +10 | +5.0 | |||||||
| c. | 10 | +5.0 | >1.0 (find #) | ||||||
| d. | 10 | +5.0 | < 1.0 (find #) | ||||||
| e. | +30 | -30 | +10 | 1.5 | |||||
| f. | -30 | +30 | +10 | 1.5 | |||||
| g. | -30 | -60 | +10 | 1.5 | |||||
| h. | +10 | 0.50 | No | ||||||
| i. | +10 | -0.50 |
3. The disk of the Sun subtends an angle of 0.533 degree at the Earth. What are the position and diameter of the solar image formed by a concave spherical mirror with a radius of curvature of 3.00m?
Problems extracted from Haliday, Resnick, & Walker, Serway & Beichner, Pedrotti & Pedrotti
Last updated September 20, 2009