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You are given a lens made of glass with an index of refraction, n = 1.45,...

You are given a lens made of glass with an index of refraction, n = 1.45, and radii of curvature, R1 = 10 cm and R2 = -80 cm.

a) Calculate the focal length of this lens.

b) A 5 cm tall object is placed 30 cm in front of this lens. Determine the image distance and the height of the image. Is the image upright or inverted?

c) Draw a diagram to illustrate with the object and image positions labeled and the object and image heights labeled. Note: you do not need to draw the principal rays on this diagram.

d) A diverging lens of focal length, f = -6 cm, is placed 60 cm behind (on the image side of) the lens from parts a-c. Determine the location and height of the image produced by the second lens. Is the image upright or inverted? Add the location and height to your picture from part c (you should also draw in this second lens).

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