Lenses

| January 25, 2015

Three lens systems. In Fig. 34-55, 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 p12 from lens 1. Lens 3 is mounted in the farthest boxed region, at distance d23 from lens 2. Each problem in Table 34-10 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 the focal points (the proper sign of the focal distance is not indicated).

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 (R) or virtual (V), (d) inverted (I) from object O or noninverted (NI), and (e) on the same side of lens 3 as object O or on the opposite side.

Table 34-10

Problems 1 13 through 1 18: Three-Lens Systems. See the setup for these problems.

(a) (b) (c) (d) (e)
p1 Lens 1 d12 Lens2 d23 Lens 3 i3 M R/V I/NI Side

113

+12

C,8.0

28

C,6.0

8

C,6.0

114

+4.0

C,6.0

8

D,4.0

5.7

D,12

115

+18

C,6.0

15

C,3.0

11

C,3.0

116

+4

D,6.0

9.6

C,6.0

14

C,4.0

117

+8.0

D,8.0

8

D,1,6

5.1

C,8.0

118

+2.0

C,6.0

15

C,6.0

19

C,5.0

 

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Fig. 34-55

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