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Three-lens systems. In the figure, stick figure O (the object) stands on the com

ID: 1262116 • Letter: T

Question

Three-lens systems. In the figure, stick figure O (the object) stands on the common central axis of three thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closest to O, which is at object distance p1. Lens 2 is mounted within the middle boxed region, at distance d12 from lens 1. Lens 3 is mounted in the farther boxed region, at distance d23 from lens 2. For this problem, p1 = 7.7 cm, lens 1 is diverging, d12 = 7.7 cm, lens 2 is diverging, d23 = 5.2 cm, and lens 3 is converging. The distance between the lens and either focal point is 8.4 cm for lens 1, 16 cm for lens 2, and 7.0 cm for lens 3. (You need to provide the proper sign).
Find (a) the image distance i3 for the (final) image produced by lens 3 (the final image produced by the system) and (b) the overall lateral magnification M for the system, including signs. Also, determine whether the final image is (c) real (enter 1) or virtual (enter 0), (d) inverted (enter 1) from object O or noninverted (enter 0), and (e) on the same side of lens 3 as object O (enter 1) or on the opposite side (enter 0).

I appreciate your help.

Three-lens systems. In the figure, stick figure O (the object) stands on the common central axis of three thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closest to O, which is at object distance p1. Lens 2 is mounted within the middle boxed region, at distance d12 from lens 1. Lens 3 is mounted in the farther boxed region, at distance d23 from lens 2. For this problem, p1 = 7.7 cm, lens 1 is diverging, d12 = 7.7 cm, lens 2 is diverging, d23 = 5.2 cm, and lens 3 is converging. The distance between the lens and either focal point is 8.4 cm for lens 1, 16 cm for lens 2, and 7.0 cm for lens 3. (You need to provide the proper sign). Find (a) the image distance i3 for the (final) image produced by lens 3 (the final image produced by the system) and (b) the overall lateral magnification M for the system, including signs. Also, determine whether the final image is (c) real (enter 1) or virtual (enter 0), (d) inverted (enter 1) from object O or noninverted (enter 0), and (e) on the same side of lens 3 as object O (enter 1) or on the opposite side (enter 0).

Explanation / Answer

(a)

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