d) Is the final image real or virtual? Explain your answer (write your answer here even if you wrote it somewhere else). e) What is the minimum value of dO for which the final image would form to the right of Lens 2?
d) Is the final image real or virtual? Explain your answer (write your answer here even if you wrote it somewhere else). e) What is the minimum value of dO for which the final image would form to the right of Lens 2?
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I have questions on parts d and e.
![**Converging Lenses Problem**
**Description:**
Two converging lenses are shown in the diagram, separated by a distance \( d = 50.0 \, \text{cm} \).
- **Lens 1** has a focal length (\( f_1 \)) of \( 10.0 \, \text{cm} \).
- **Lens 2** has a focal length (\( f_2 \)) of \( 20.0 \, \text{cm} \).
The goal is for the light passing through both lenses to form an image at the position \( x = 31.0 \, \text{cm} \), measured from the first lens.
\[
\begin{array}{c}
\text{focal lengths} \\
\leftarrow f_1 \rightarrow \quad \quad \quad \quad \quad \quad \quad \leftarrow f_2 \rightarrow \\
\text{Object position} \quad d_o \quad \quad \quad x \quad \quad \quad d \\
\end{array}
\]
Five questions are associated with this setup:
**a) At what value of \( d_o \) should the object be positioned to the left of the first lens?**
Calculate the object distance \( d_o \) such that the final image is at \( x = 31.0 \, \text{cm} \).
**b) What is the magnification of the final image?**
Determine the magnification of the image produced after the light has passed through both lenses.
**c) Is the final image upright or inverted? Explain your answer.**
Decide and justify whether the final image orientation is upright or inverted.
**d) Is the final image real or virtual? Explain your answer.**
Clarify if the final image formed is real or virtual, providing reasons based on the lens setup.
**e) What is the minimum value of \( d_o \) for which the final image would form to the right of Lens 2?**
Find the smallest distance \( d_o \) so that the final image is located beyond Lens 2.
This problem involves understanding and applying concepts from geometric optics, using formulas for lens magnification and image formation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa53a385f-2dc8-49db-bd6f-407f1c094f1c%2Fd8c0caae-e148-4911-b304-69870d3b3be4%2F7s8tfuv_processed.png&w=3840&q=75)
Transcribed Image Text:**Converging Lenses Problem**
**Description:**
Two converging lenses are shown in the diagram, separated by a distance \( d = 50.0 \, \text{cm} \).
- **Lens 1** has a focal length (\( f_1 \)) of \( 10.0 \, \text{cm} \).
- **Lens 2** has a focal length (\( f_2 \)) of \( 20.0 \, \text{cm} \).
The goal is for the light passing through both lenses to form an image at the position \( x = 31.0 \, \text{cm} \), measured from the first lens.
\[
\begin{array}{c}
\text{focal lengths} \\
\leftarrow f_1 \rightarrow \quad \quad \quad \quad \quad \quad \quad \leftarrow f_2 \rightarrow \\
\text{Object position} \quad d_o \quad \quad \quad x \quad \quad \quad d \\
\end{array}
\]
Five questions are associated with this setup:
**a) At what value of \( d_o \) should the object be positioned to the left of the first lens?**
Calculate the object distance \( d_o \) such that the final image is at \( x = 31.0 \, \text{cm} \).
**b) What is the magnification of the final image?**
Determine the magnification of the image produced after the light has passed through both lenses.
**c) Is the final image upright or inverted? Explain your answer.**
Decide and justify whether the final image orientation is upright or inverted.
**d) Is the final image real or virtual? Explain your answer.**
Clarify if the final image formed is real or virtual, providing reasons based on the lens setup.
**e) What is the minimum value of \( d_o \) for which the final image would form to the right of Lens 2?**
Find the smallest distance \( d_o \) so that the final image is located beyond Lens 2.
This problem involves understanding and applying concepts from geometric optics, using formulas for lens magnification and image formation.
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