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For the ray diagrams below it is acceptable to use only two principal rays one that leaves the object parallel to the optical axis and one that reflects off the center of the mirror You are welcome to use all three for greater accuracy You should also mark the focal point and draw the object an arrow with its tail on the optical axis Be careful with your diagram making sure the rays are straight and reflect from the reflecting plane of the mirror Note that the grids in the diagrams below are 1 cm square Make all your objects 1 5 cm tall 7 4 5 points total An object is placed 5 cm from a diverging lens with a focal length of 3 cm a 1 5 points Complete the ray diagram below to determine the location of the image using at least two principal rays Summarize the characteristics of the image real virtual upright inverted larger smaller same size from your diagram Explain what these characteristics tell us about the signs of the image distance d and image height hi b 1 point Calculate the height of the image h and its distance from the center of the lens d Show your work and note whether your results are consistent with your diagram above c 0 5 points What is the magnification of the image both sign and value How does the magnification tell you about the characteristics of the image Show your work and explain d 1 5 points How could you move the object such that the magnification is 2 3 rather than the value you calculated above If this is not possible state so explicitly Explain

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