A Two-Lens System < 19 of 22 (> Constants Part A 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. Eigure 1An object 1.00 centimeter tall is placed at z= -50.0 cm. 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= 15 cm Submit Previous Answrs X Incorrect; Try Again; 4 attempts remaining Part B Complete previous part(s) Part C Complete previous part(s) Now remove the two lenses at z - +20.0 cm and z--20.0 cm and replace them with a single lens of focal length fz at z -0. We want to choose this new lens so that it produces an image at the same location as before. • Part D Figure < 1 of 1 What is the focal length of the new lens at the origin? Express your answer in centimeters, to three significant figures or as a fraction. > View Available Hint(s) cm Submit

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Question
**Homework 5: Geometric Optics**

**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 \( f_2 = +8.00 \, \text{cm} \). (Figure 1) An object 1.00 centimeter 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? Give the \( x \) coordinate of the image.

Express your answer in centimeters, to three significant figures or as a fraction.

- **Answer Input Box**: \( z = \text{15} \, \text{cm} \)

- **Feedback**: Incorrect; Try Again; 4 attempts remaining

**Part B** and **Part C** (incomplete; need to complete previous parts to proceed)

Now remove the two lenses at \( z = +20.0 \, \text{cm} \) and \( z = -20.0 \, \text{cm} \) and replace them with a single lens of focal length \( f_3 \) at \( z = 0 \). We want to choose this new lens so that it produces an image at the same location as before.

**Part D**

What is the focal length of the new lens at the origin?

Express your answer in centimeters, to three significant figures or as a fraction.

- **Answer Input Box**: \( f_3 = \, \text{cm} \)

**Figure Description**

The figure shows two lenses, \( f_1 \) and \( f_2 \), along a horizontal optical axis with an object represented by an upwards green arrow on the left side of the lens system. The lenses are arranged with \( f_1 \) at a negative position and \( f_2 \) at a positive position, as described in the system problem above.

**Constants**: Specific constants were not provided but are typically available via a constants section on the educational platform to aid calculations.
Transcribed Image Text:**Homework 5: Geometric Optics** **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 \( f_2 = +8.00 \, \text{cm} \). (Figure 1) An object 1.00 centimeter 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? Give the \( x \) coordinate of the image. Express your answer in centimeters, to three significant figures or as a fraction. - **Answer Input Box**: \( z = \text{15} \, \text{cm} \) - **Feedback**: Incorrect; Try Again; 4 attempts remaining **Part B** and **Part C** (incomplete; need to complete previous parts to proceed) Now remove the two lenses at \( z = +20.0 \, \text{cm} \) and \( z = -20.0 \, \text{cm} \) and replace them with a single lens of focal length \( f_3 \) at \( z = 0 \). We want to choose this new lens so that it produces an image at the same location as before. **Part D** What is the focal length of the new lens at the origin? Express your answer in centimeters, to three significant figures or as a fraction. - **Answer Input Box**: \( f_3 = \, \text{cm} \) **Figure Description** The figure shows two lenses, \( f_1 \) and \( f_2 \), along a horizontal optical axis with an object represented by an upwards green arrow on the left side of the lens system. The lenses are arranged with \( f_1 \) at a negative position and \( f_2 \) at a positive position, as described in the system problem above. **Constants**: Specific constants were not provided but are typically available via a constants section on the educational platform to aid calculations.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Lens
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON