Consider a system of two thin convex lenses of focal lengths 10 cm and 30 cm separated by a distance of 20 cm in air.
(a) Determine the system matrix elements and the positions of the unit planes
(b) Assume a parallel beam of light incident from the left. Use Eq. (67) and the positions of the unit planes to determine the image point. Using the unit planes draw the ray diagram.
[Ans. (a) a =1/15, b =1/3, c = -1, d = -20; the first convex lens is in the middle of the two unit planes. (b) The final image is virtual and is 15 cm away (on the left) from the second lens.]
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