The figure below, stick figure O (the object) stands on the common central axis

Question

The figure below, 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 combination of lenses and value for distance are given in centimeters.

p1 Lens 1 f1 d Lens 2 f2 i2 m 10.9 converging 8.0 30.5 diverging 8.0
The figure below, 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 combination of lenses and value for distance are given in centimeters.

Explanation / Answer

1/p1 + 1/i1 = 1/f1

1/10.9 + 1/i = 1/8

i=30.07 cm

this acts as object for the second lens
o = 30.5 - 30.07 = 0.43 cm

1/0.43 + 1/i = 1/(-8)

i=-0.408 cm

M = (-30.07/10.9) *(0.408/0.43)=-2.62

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