4. An object is 20.0 cm to the left of the convex lens which is 50.0 cm from a c

Question

4. An object is 20.0 cm to the left of the convex lens which is 50.0 cm from a concave lens as shown below. The focal lengths of the convex and concave lenses are 10.0 cm and -12.5 cm. respectively. (a) Use the thin lens equation to determine the location of the image made by the convex lens. (hi Treat the image made by the convex lens as the object of the concave lens and determine the location of the final image. (c) Characterize the final image completely. (Reduced or enlarged, real or virtual, Inverted or upright).

Explanation / Answer

A) 1/f = 1/u + 1/v

1/10 = 1/20 + 1/v

1/v = (1/10)-(1/20) =

v = 20 cm

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B) for concave object distance is u = 50-20 = 30 cm

-1/f = 1/u + 1/v

-1/12.5 = 1/30 + 1/v

1/v = 8.82 cm

C) in between convex and concave

virtual and Upright

Reduced

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