# A thin convex lens L is positioned midway between two diaphragms: D 1 , 4.0 cm to

## Question:

A thin convex lens L is positioned midway between two diaphragms: D_{1}, 4.0 cm to its left, and D_{2}, 4.0 cm to its right. The lens has a diameter of 12 cm and a focal length of 12 cm. The holes in D_{1} and D_{2} have diameters of 12 cm and 8.0 cm, respectively. An axial object point is 20 cm to the left of D_{1}.

(a) What is the image of D_{1} in the object space (i.e., as imaged by any lens to its left with light traveling left)?

(b) What is the image of L in the object space?

(c) What is the image of D_{2} in the object space? Give the size and location of that aperture’s image.

(d) Locate the entrance pupil and the aperture stop.

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