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# Lens Equations

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### Lens Equations

1. 1. LENS EQUATIONS
2. 2. LENS EQUATIONS Magnification Focal length Height of image Height of object distance from the image to the optical centre distance from the object to the optical centre Definition Inverted image Upright image M Diverging lens Converging lens f When measured downward When measured upward h i When measured downward When measured upward h 0 Virtual image (on same side of lens) Real image (on opposite side of lens) d i Never Always d 0 Negative Positive Variable d o f d i f h o h i object image
3. 3. Thin Lens Equation
4. 4. Magnification Equation
5. 5. Example: A converging lens has a focal length of 15 cm. If a light is located 50 cm from the lens, what type of image will be formed and where will it be located? Analysis: Required: Given: Phrase: Solution:
6. 6. LENS EQUATIONS Magnification Focal length Height of image Height of object distance from the image to the optical centre distance from the object to the optical centre Definition Inverted image Upright image M Diverging lens Converging lens f When measured downward When measured upward h i When measured downward When measured upward h 0 Virtual image (on same side of lens) Real image (on opposite side of lens) d i Never Always d 0 Negative Positive Variable
7. 7. Example: A converging lens has a focal length of 15 cm. If a light is located 50 cm from the lens, what type of image will be formed and where will it be located? A real image is formed 21.43 cm from the lens. Analysis: Required: Given: Phrase: Solution:
8. 8. Example: A pencil of height 14 cm is placed in front of a converging lens. An inverted, real image of height 43 cm is seen on the other side of the lens. What is the magnification of the lens? Analysis: Required: Given: Phrase: Solution:
9. 9. LENS EQUATIONS Magnification Focal length Height of image Height of object distance from the image to the optical centre distance from the object to the optical centre Definition Inverted image Upright image M Diverging lens Converging lens f When measured downward When measured upward h i When measured downward When measured upward h 0 Virtual image (on same side of lens) Real image (on opposite side of lens) d i Never Always d 0 Negative Positive Variable
10. 10. Example: A pencil of height 14 cm is placed in front of a converging lens. An inverted, real image of height 43 cm is seen on the other side of the lens. What is the magnification of the lens? The lens has a magnification of -3.07. Phrase Solution: Analysis: Required: Given:
11. 11. Homework <ul><li>WB page 54 #1-4 </li></ul><ul><li>Textbook page 566 #1-8 </li></ul>