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 /2 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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*Chapter 34, Problem 083
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 /2 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)
Lens 1
Lens 2
12
M
R/V
I/NI
Side
P1
+28
C, 9.6
9.7
C, 5.2
(a) Number
*1 Units
(b) Number
*2 Units
(c)
(d)
(e)
Transcribed Image Text:*Chapter 34, Problem 083 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 /2 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) Lens 1 Lens 2 12 M R/V I/NI Side P1 +28 C, 9.6 9.7 C, 5.2 (a) Number *1 Units (b) Number *2 Units (c) (d) (e)
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