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 \( O \), which is at object distance \( p_1 \). 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 \( i_2 \) 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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| \( p_1 \) | Lens 1 | \( d \) | Lens 2 | \( i_2 \) | \( M \) | R/V | I/NI | Side |
|------------|--------|--------|--------|-------|-------|-----|-----|------|
| +27 | C, 9.1 | 9.3 | C, 5.1 | | | | | |
Input fields for:
- **(a)** Image distance \( i_2 \) with units
- **(b)** Magnification \( M \) with units
- **(c)** Real or Virtual
- **(d)** Inverted or Noninverted
- **(e)** Side of the lens (Same or Opposite)
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