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Mirror Reflections: Image Formation and Sign Conventions

Dive into the world of curved mirrors and explore how images are formed, whether real or virtual, and understand sign conventions. Learn about concave and convex mirrors, mirror equations, magnification, and solve practical examples. Discover the rules for height, distance, and magnification in mirror reflection experiments.

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Mirror Reflections: Image Formation and Sign Conventions

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  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: • di & dopositive if image & object are on reflecting side of mirror (i.e. real) • di & do 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. Ex #1 A 4cm tall object is located 30cm from a concave mirror with a focal length of 5cm. How tall is the image? Real Inverted

  10. Ex #2 A convex mirror with a focal length of -5cm produces an image of an object located 15cm from the mirror. What is the magnification? Behind mirror Upright Smaller Virtual

  11. Ex #3 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? Real Inverted

  12. Ex #4 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? Diverging Mirror Virtual

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

  14. Ex #6 Matt is manipulating a concave mirror that has a focal length of 10cm. His physics teacher tells him that the difference between do & di 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) do= 15cm & di = 30cm A B) do= 30cm & di = 15cm C) do= 5cm & di = -10cm D) do= 10cm & di = -5cm

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