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.
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.
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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 0, which is at object distance p,. 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
i2
R/V
I/NI
Side
+29
С, 9.8
9.2
С, 6.5
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