Two-lens systems. In the figure, stick figure O (the object) stands on the common central axis of two thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closer to 0, which is at object distance p1. Lens 2 is mounted within the farther boxed region, at distance d. Each problem in the table refers to a different combination of lenses and different values for distances, which are given in centimeters. The type of lens is indicated by C for converging and D for diverging; the number after C or D is the distance between a lens and either of its focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance iz for the image produced by lens 2 (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 or virtual, (d) inverted from object O or noninverted, and (e) on the same side of lens 2 as object O or on the opposite side.

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Chapter1: Units, Trigonometry. And Vectors
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Two-lens systems. In the figure, stick figure O (the object) stands on the common central axis of two thin, symmetric lenses,
which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closer to O, which is at object distance p1.
Lens 2 is mounted within the farther boxed region, at distance d. Each problem in the table refers to a different combination of
lenses and different values for distances, which are given in centimeters. The type of lens is indicated by C for converging and
D for diverging; the number after C or D is the distance between a lens and either of its focal points (the proper sign of the
focal distance is not indicated). Find (a) the image distance iz for the image produced by lens 2 (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 or virtual, (d) inverted from object O or noninverted, and (e) on the same side of lens 2 as object O or on
the opposite side.
(a)
(b)
(c)
(d)
(e)
P1
Lens 1
d
Lens 2
R/V
I/NI
Side
+26
D, 20
17
D, 9.2
Transcribed Image Text:Two-lens systems. In the figure, stick figure O (the object) stands on the common central axis of two thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closer to O, which is at object distance p1. Lens 2 is mounted within the farther boxed region, at distance d. Each problem in the table refers to a different combination of lenses and different values for distances, which are given in centimeters. The type of lens is indicated by C for converging and D for diverging; the number after C or D is the distance between a lens and either of its focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance iz for the image produced by lens 2 (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 or virtual, (d) inverted from object O or noninverted, and (e) on the same side of lens 2 as object O or on the opposite side. (a) (b) (c) (d) (e) P1 Lens 1 d Lens 2 R/V I/NI Side +26 D, 20 17 D, 9.2
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