Find the image distance and linear magnification for a small object on the optical axis, 20.4 cm from a lens of focal length -11 cm. image distance linear magnification
Find the image distance and linear magnification for a small object on the optical axis, 20.4 cm from a lens of focal length -11 cm. image distance linear magnification
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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![**Optics Problem: Image Distance and Linear Magnification**
In this exercise, you are asked to find the image distance and linear magnification for a small object located on the optical axis of a lens. Below are the given parameters:
- The object distance from the lens: \( 20.4 \, \text{cm} \)
- The focal length of the lens: \( -11 \, \text{cm} \)
You will need to use these parameters to calculate:
1. **Image Distance**
- Formula: \(\frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \)
- Where:
- \( f \) is the focal length of the lens.
- \( d_o \) is the object distance.
- \( d_i \) is the image distance.
2. **Linear Magnification**
- Formula: \( m = \frac{d_i}{d_o} \)
- Where:
- \( m \) is the magnification.
- \( d_i \) is the image distance.
- \( d_o \) is the object distance.
**Input Fields:**
- **Image Distance**: [ ]
- **Linear Magnification**: [ ]
Using these formulas and input parameters, calculate the required values for image distance and linear magnification, and input them in the fields provided above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2379bb0-49c5-44f7-ac7a-000baa150133%2Fda89cd78-7a86-4ede-8478-97d5f785de50%2Fe1uuej_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Optics Problem: Image Distance and Linear Magnification**
In this exercise, you are asked to find the image distance and linear magnification for a small object located on the optical axis of a lens. Below are the given parameters:
- The object distance from the lens: \( 20.4 \, \text{cm} \)
- The focal length of the lens: \( -11 \, \text{cm} \)
You will need to use these parameters to calculate:
1. **Image Distance**
- Formula: \(\frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \)
- Where:
- \( f \) is the focal length of the lens.
- \( d_o \) is the object distance.
- \( d_i \) is the image distance.
2. **Linear Magnification**
- Formula: \( m = \frac{d_i}{d_o} \)
- Where:
- \( m \) is the magnification.
- \( d_i \) is the image distance.
- \( d_o \) is the object distance.
**Input Fields:**
- **Image Distance**: [ ]
- **Linear Magnification**: [ ]
Using these formulas and input parameters, calculate the required values for image distance and linear magnification, and input them in the fields provided above.
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