(6\%) Problem 13: Two convex lenses which share a common principal axis are separated by a distance which is less than either of their focal lengths, as shown.
Lens 1 , with focal length \( F_{1} \), is placed to the left. Lens 2 , with focal length \( F_{2} \), is placed a distance \( L \) to the right of the first lens.
\( 11 \% \) Part (a) An object is placed a distance \( d_{o, 1}=21 \mathrm{~cm} \) to the left of lens 1 which has focal length \( F_{1}=6.2 \mathrm{~cm} \). Ignore the existence of lens 2 for the moment What is the position of the image, \( d_{i, 1} \) created by lens 1 ? Include the sign which is consistent with standard sign conventions.
\[
d_{i, 1}=4.780 \mathrm{~cm} \quad X \text { Attempts Remain }
\]
\( 11 \% \) Part (b) Calculate the magnification, \( M_{1} \), of lens 1 for the object as positioned in the previous step. Be certain to include the sign that is consistent with the standard conventions.
\( 11 \% \) Part (c) Which statement best describes the image created by lens 1 ?
The image is virtual and inverted.
The image is real and inverted.
The image is real and upright.
The image is virtual and upright.
Submit
\( \square \)
Hint
Feedback
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Grade Summary
Deductions \( \quad 0 \% \)
Potential \( \quad 100 \% \)
Submissions
Attempts remaining: 3 (33\% per attempt) detailed view
Hints: \( 1 \% \) deduction per hint. Hints remaining: \( \underline{1} \)
Feedback: \( 0 \% \) deduction per feedback.
\( 11 \% \) Part (d) Lens 2 is placed a distance \( L=3.0 \mathrm{~cm} \) to the right of lens 1 , and the image of lens 1 becomes the object of lens 2 . Calculate the object distance, \( d_{0,2} \), relative to lens 2 . Be certain to include the sign as consistent with the standard sign conventions.
\( 11 \% \) Part (e) Which statement best describes the object for lens 2?
\( 11 \% \) Part ( \( f \) ) Lens 2 has focal length \( F_{2}=10.25 \mathrm{~cm} \). What is the position of the final image relative to lens \( 2, d_{i, 2} \), created by lens 2 ? Include the sign which is consistent with standard sign conventions.
