Three-lens systems. In the figure, stick figure O (the object) stands on the common central axis of three thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closest to O, which is at object distance p1. Lens 2 is mounted within the middle boxed region, at distance d12 from lens 1. Lens 3 is mounted in the farther boxed region, at distance d23 from lens 2. (see the table below, all distances 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 the focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance /3 for the (final) image produced by lens 3 (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 3 as object O or on the opposite side.
Three-lens systems. In the figure, stick figure O (the object) stands on the common central axis of three thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closest to O, which is at object distance p1. Lens 2 is mounted within the middle boxed region, at distance d12 from lens 1. Lens 3 is mounted in the farther boxed region, at distance d23 from lens 2. (see the table below, all distances 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 the focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance /3 for the (final) image produced by lens 3 (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 3 as object O or on the opposite side.
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![**Chapter 34, Problem 100 GO**
Your answer is partially correct. Try again.
**Three-lens systems.**
In the figure, stick figure O (the object) stands on the common central axis of three thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closest to O, which is at object distance \( p_1 \). Lens 2 is mounted within the middle boxed region, at distance \( d_{12} \) from lens 1. Lens 3 is mounted in the farther boxed region, at distance \( d_{23} \) from lens 2. (See the table below, all distances 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 the focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance \( i_3 \) for the (final) image produced by lens 3 (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 3 as object O or on the opposite side.
**Diagram:**
The diagram includes a stick figure labeled as "O" denoting the object on the far left, followed by three lenses labeled 1, 2, and 3, arranged horizontally from left to right. Distances \( d_{12} \) and \( d_{23} \) denote the separations between successive lenses.
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
p_1 & \text{Lens 1} & d_{12} & \text{Lens 2} & d_{23} & \text{Lens 3} \\
\hline
+4.9 & C, 6.5 & 8.8 & D, 4.0 & 6.5 & D, 12 \\
\hline
\end{array}
\]
\[
\begin{array}{|c|c|c|c|c|c|}
\h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffec9791-3e70-4062-ab52-19ffbcf6a19b%2F5a12588c-b9a0-4883-9934-13143e996e60%2Fnv5u29_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Chapter 34, Problem 100 GO**
Your answer is partially correct. Try again.
**Three-lens systems.**
In the figure, stick figure O (the object) stands on the common central axis of three thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closest to O, which is at object distance \( p_1 \). Lens 2 is mounted within the middle boxed region, at distance \( d_{12} \) from lens 1. Lens 3 is mounted in the farther boxed region, at distance \( d_{23} \) from lens 2. (See the table below, all distances 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 the focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance \( i_3 \) for the (final) image produced by lens 3 (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 3 as object O or on the opposite side.
**Diagram:**
The diagram includes a stick figure labeled as "O" denoting the object on the far left, followed by three lenses labeled 1, 2, and 3, arranged horizontally from left to right. Distances \( d_{12} \) and \( d_{23} \) denote the separations between successive lenses.
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
p_1 & \text{Lens 1} & d_{12} & \text{Lens 2} & d_{23} & \text{Lens 3} \\
\hline
+4.9 & C, 6.5 & 8.8 & D, 4.0 & 6.5 & D, 12 \\
\hline
\end{array}
\]
\[
\begin{array}{|c|c|c|c|c|c|}
\h
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