SUMMARY
The focal length of a convex mirror can be determined using the object distance and the image distance derived from the problem statement. An object placed 12.0 cm in front of the convex mirror results in a virtual image located 7.0 cm behind the mirror. The flat mirror, positioned 5.0 cm farther away, produces an image at 12.0 cm. Applying the mirror formula, 1/do + 1/di = 1/f, yields a focal length of -0.12 m for the convex mirror, confirming that the image is virtual.
PREREQUISITES
- Understanding of mirror equations, specifically 1/do + 1/di = 1/f
- Knowledge of convex mirror properties and image formation
- Familiarity with the concept of virtual and real images
- Basic skills in unit conversion (cm to m)
NEXT STEPS
- Study the derivation of the mirror formula and its applications
- Learn about the characteristics of virtual images produced by convex mirrors
- Explore ray diagrams for convex mirrors to visualize image formation
- Investigate the relationship between object distance, image distance, and focal length in concave mirrors for comparison
USEFUL FOR
Students studying optics, physics educators, and anyone interested in understanding the principles of mirror image formation and focal lengths.