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Concave Mirror d o > f

Real Image. f. Concave Mirror d o > f. d o. d i. d i. d o. f. h o. h i. Concave Mirror d o > f. Similar triangles:. The Mirror Equation:. Recall:. Combining both:. See examples p780. Concave Mirror Practical Activity. Equipment: meter ruler candle

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Concave Mirror d o > f

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  1. Real Image f Concave Mirror do > f do di

  2. di do f ho hi Concave Mirror do > f

  3. Similar triangles: The Mirror Equation: Recall: Combining both:

  4. See examples p780

  5. Concave Mirror Practical Activity • Equipment: • meter ruler • candle • concave mirror (f ~ 20 cm ???) • Object location • do> 2f • do = 2f • 2f > do > f For the 3 object locations listed ~ Sketch a ray diagram ~ state the nature of the image ~ record di (so as to be able to calculate f) • do= f • do < f Investigate the image produced for

  6. Magnification Equation Triangles are similar: Magnification and

  7. 10.2 Suppose you place a 5.0 cm tall spring in front of a concave mirror. The mirror has a focal length of 24 cm. The spring forms an image that appears to be at the same position as the spring, but the image is inverted. a. Where did you place the spring? ho= 5 cm f = 24 cm do = di do = 2f = 2(24) = 48 cm

  8. b. How tall is the spring’s image? ho= 5 cm hi = -ho = - 5 cm (inverted)

  9. Virtual Image Concave Mirror do < f do di f

  10. do di hi ho f Concave Mirror do < f negative

  11. f =10cm di= ? 15 cm ho=10cm What is di ? What is m ? What is hi ?

  12. Convex Mirror

  13. do di f Convex Mirror Virtual Image

  14. Convex Mirror ho negative hi do di

  15. The security mirrors in shops are convex and spherical. The photograph below shows a security mirror in a grocer shop. Copy the two axes representing the principal axis and the mirror. Draw a ray diagram showing how the image is formed. NCEA 90768 2005 image object F

  16. 10.3 When you hold a convex mirror 21 cm from your eye, your image forms 7.0 cm behind the mirror. a. What is the magnification of the image? do= 21 cm di = - 7 cm = +0.33

  17. b. What is the mirror’s focal length and radius of curvature? do= 21 cm di = - 7 cm = - 10.5 cm R = 2f = 2(-10.5) = -21 cm

  18. A mirror is behind a cloth and cannot be seen. Determine its type, whether the image is real or virtual, and the sign of the magnification M. Object Cloth • Concave mirror, real image, M is positive • Concave mirror, real image, M is negative • Concave mirror, virtual image, M is positive • Concave mirror, virtual image, M is negative • Convex mirror, virtual image, M is positive • Convex mirror, virtual image, M is negative Image

  19. A mirror is behind a cloth and cannot be seen. Determine its type, whether the image is real or virtual, and the sign of the magnification M. Cloth • Concave mirror, real image, M is positive • Concave mirror, real image, M is negative • Concave mirror, virtual image, M is positive • Concave mirror, virtual image, M is negative • Convex mirror, virtual image, M is positive • Convex mirror, virtual image, M is negative object image

  20. Convex or concave Mirror? di= -40 cm, do= 60 cm f = ? What is m?

  21. The image of a distant tree is virtual and very small when viewed in a curved mirror. The image appears to be 18 cm behind the mirror. What kind of mirror is it, and what is its radius of curvature?

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