A Two-Lens System A compound lens system consists of two converging lenses, one at z =-20.0 cm with focal length fi = +10.0 cm, and the other at z = +20.0 cm with focal length fa = +8.00 cm. (Figure 1)An object 1.00 centimeter tall is placed at z = -50.0 em. Part A What is the location of the final image produced by the compound lens system? Give the x coordinate of the image. Express your answer in centimeters, to three significant figures or as a fraction. > View Available Hint(s) z= 31.8 cm Submit Previous Answers Correct Part B How tall is the image? Express your answer in centimeters, to three significant figures or as a fraction. • View Available Hintis) yim = 0.236 cm Submit Previous Answers

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**A Two-Lens System**

A compound lens system consists of two converging lenses: one at \( z = -20.0 \, \text{cm} \) with focal length \( f_1 = +10.0 \, \text{cm} \) and the other at \( z = +20.0 \, \text{cm} \) with focal length \( f_2 = +8.0 \, \text{cm} \). An object 1.00 cm tall is placed at \( z = -50.0 \, \text{cm} \).

**Part A**

What is the location of the final image produced by the compound lens system? Provide the \( x \) coordinate of the image.

- Answer: \( x = 31.8 \, \text{cm} \)

**Part B**

How tall is the image? Provide the height in centimeters to three significant figures or as a fraction.

- Answer: \( y_{\text{im}} = 0.236 \, \text{cm} \)

**Part C**

Is the final image upright or inverted, relative to the original object at \( z = -50 \, \text{cm} \)?

- Options: Upright, Inverted

**Figure Explanation**

The figure illustrates the setup of the two-lens system. A green arrow represents the object on the left, and the two converging lenses are marked with their focal points \( f_1 \) and \( f_2 \). The lenses are positioned along a horizontal axis.
Transcribed Image Text:**A Two-Lens System** A compound lens system consists of two converging lenses: one at \( z = -20.0 \, \text{cm} \) with focal length \( f_1 = +10.0 \, \text{cm} \) and the other at \( z = +20.0 \, \text{cm} \) with focal length \( f_2 = +8.0 \, \text{cm} \). An object 1.00 cm tall is placed at \( z = -50.0 \, \text{cm} \). **Part A** What is the location of the final image produced by the compound lens system? Provide the \( x \) coordinate of the image. - Answer: \( x = 31.8 \, \text{cm} \) **Part B** How tall is the image? Provide the height in centimeters to three significant figures or as a fraction. - Answer: \( y_{\text{im}} = 0.236 \, \text{cm} \) **Part C** Is the final image upright or inverted, relative to the original object at \( z = -50 \, \text{cm} \)? - Options: Upright, Inverted **Figure Explanation** The figure illustrates the setup of the two-lens system. A green arrow represents the object on the left, and the two converging lenses are marked with their focal points \( f_1 \) and \( f_2 \). The lenses are positioned along a horizontal axis.
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