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. 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 1₂ 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. * I (a) Number (b) Number i Lens 1 2⁰ P₁ Lens 2 +29 C, 9.7 9.8 C, 5.2 d Units Units (a) (b) (c) (d) (e) 12 M R/V I/NI Side <
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. 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 1₂ 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. * I (a) Number (b) Number i Lens 1 2⁰ P₁ Lens 2 +29 C, 9.7 9.8 C, 5.2 d Units Units (a) (b) (c) (d) (e) 12 M R/V I/NI Side <
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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. 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
1₂ 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. *
I
(a) Number
(b) Number
Lens 1
d
P₁
+29 C, 9.7 9.8 C, 5.2
Units
(a)
Lens 2 1₂
Units
(b) (c) (d) (e)
R/V
I/NI Side
M
<
>
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