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Presentation transcript:

Warm up

Thin Lens Equations There are two ways to determine the characteristics of images formed by objects. One is using ray diagrams, and the other uses algebra. The Lens Equations can be used to determine image size, (height) location (distance from lens) and whether they are on the object side or opposite side of lens.

Thin Lens Equations do di ho hi f M Lens Terminology Distance from object to optical centre di Distance from image to optical centre ho Height of object hi Height of image f Focal length of lens, distance from optical centre to principal focus (f) * F and F’ are same distance from lens M Magnification of the lens Thin Lens Equations

Lens Terminology (Nelson 562)

The Thin Lens Equation The thin lens equation relates the focal length (f) to the object distance (do) and the image distance (di)

The Thin Lens Equation Understanding signs

Example 1 A converging lens has a focal length of +17 cm. A candle is located +48 cm from the lens. What type of image will be formed, and where will it be located? (real, +26cm) f = +17cm Do = +48cm

Example 2 A diverging lens has a focal length of -29 cm. A virtual image of a marble is located -13 cm in front of the lens. Where is the marble (i.e. the object) located? (+24cm) f = -29cm Di = -13cm

The Magnification Equation This equation relates both the heights and distances of the object and image.

Example 3 A toy of height + 8.4 cm is balanced in front of a converging lens. An inverted real image of height -23 cm is noticed on the other side of the lens. What is the magnification of the lens? (-2.7 X) ho = + 8.4 cm hi = -23 cm

Example 4 A small toy building block is placed +7.2 cm in front of a lens. An upright, virtual image of magnification +3.2x is noticed. Where is the image located? (-23 cm) do = + 7.2 cm M = 3.2x

PRACTICE Worksheet Prac Q's Page 566 1, 2, 4, 5, 8