1. Mirrors

2.  Recall: images formed by curved mirrors depend on position of image  Images could be: Real or virtual Upright or inverted Smaller or larger OR no image (if object at F)

3. Images – Concave Mirror F C

4. Images – Convex Mirror F C

5. Sign Conventions:  All distances are measured from vertex: In front = positive Behind = negative  Focal length: Positive for concave mirrors Negative for convex mirrors  Distance: d i & d o positive if image & object are on reflecting side of mirror (i.e. real) d i & d o negative if image or object is behind the mirror (i.e. image virtual)

6. Sign Conventions:  Height: Positive for upright objects or images Negative for inverted objects or images  Magnification: Positive for upright images Negative for inverted images

7. Mirror Equation:

8. Magnification:

9. A 4cm tall object is located 30cm from a concave mirror with a focal length of 5cm. How tall is the image?

10. A convex mirror with a focal length of -5cm produces an image of an object located 15cm from the mirror. What is the magnification?

11. A 1.5cm high diamond ring is placed 20cm in front of a concave mirror whose radius of curvature is 30cm. What is the size of the image?

12. An object is placed 10m in front of a curved mirror. A virtual image is formed 19.6cm from the mirror. What type of mirror was used?

13. Alex places a 5cm tall candle 30cm in front of a mirror that has a focal length of -50cm. What is the magnification?

14. Matt is manipulating a concave mirror that has a focal length of 10cm. His physics teacher tells him that the difference between d o & d i if 15cm and that the image in larger than the object & has a negative magnification. Where should Matt place the object to obtain the desired image? A)d o = 15cm & d i = 30cm B)d o = 30cm & d i = 15cm C)d o = 5cm & d i = -10cm D)d o = 10cm & d i = -5cm