Two-lens systems. In the figure below, stick figure O (the object) stands on the
ID: 1485539 • Letter: T
Question
Two-lens systems. In the figure below, stick figure O (the object) stands on the common central axis of two thin, symmetric lenses. 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 the focal distances f1 and f2 for lens 1 and lens 2 respectively, the image distance i2 for the final image produced by lens 2 (the final image produced by the system) and the overall lateral magnification m for the system. All distances are in centimeters. Fill in the missing information, including signs.
Solve for i2 and M
Describe the image. (Select all that apply.)
real
virtual
upright
inverted
on the same side of lens 2 as object O
on the opposite side of lens 2
p1 Lens 1 f1 d Lens 2 f2 i2 m +7.8 diverging *6.3 12 converging *6.4Explanation / Answer
image distance for the first lens:
q1 = [1/f1 - 1/p1]-1
=[1/6.3 - 1/7.8]-1
= -32.76 cm
the object distance p2 is
p2 = 12+32.76 = 44.76 cm
the required image distance is,
q2 = [1/f2 - 1/p2]-1
= [-1/6.4 - 1/44.76]-1
= -5.6 cm
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