A certain slide projector has a 118-mm-focal-length lens. Hints Follow the problem-solving strategy steps outlined in "Problem-Solving Strategy: Lenses" in Section 2.4 Thin Lenses. Two additional hints: (1) you are given the focal length and object distance-distance to slide-here; what equation relates these to the image distance? (2) Remember the linear magnification formula. a. To project the image of a slide onto a screen, does this lens need to form a real image or a virtual image? not enough information given virtual image O real image b. If a slide is placed 123 mm from the lens, how far from the lens should the screen be placed for a sharp image? mm away from lens. c. If the size of the slide is 36.0 (width) by 24.0 (height) mm, what are the dimensions of the image? Width = mm; Height = mm The film should be positioned at the location of the image to record the image.
A certain slide projector has a 118-mm-focal-length lens. Hints Follow the problem-solving strategy steps outlined in "Problem-Solving Strategy: Lenses" in Section 2.4 Thin Lenses. Two additional hints: (1) you are given the focal length and object distance-distance to slide-here; what equation relates these to the image distance? (2) Remember the linear magnification formula. a. To project the image of a slide onto a screen, does this lens need to form a real image or a virtual image? not enough information given virtual image O real image b. If a slide is placed 123 mm from the lens, how far from the lens should the screen be placed for a sharp image? mm away from lens. c. If the size of the slide is 36.0 (width) by 24.0 (height) mm, what are the dimensions of the image? Width = mm; Height = mm The film should be positioned at the location of the image to record the image.
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![### Slide Projector and Lens Calculations
A certain slide projector has a 118-mm focal-length lens.
---
#### Hints
Follow the problem-solving strategy steps outlined in "Problem-Solving Strategy: Lenses" in Section 2.4 Thin Lenses. Two additional hints:
1. You are given the focal length and object distance—distance to slide—here; what equation relates these to the image distance?
2. Remember the linear magnification formula.
---
### Questions & Steps
#### a. Real or Virtual Image?
To project the image of a slide onto a screen, does this lens need to form a real image or a virtual image?
- Not enough information given
- Virtual image
- **Real image** (This option is selected)
#### b. Image Distance Calculation
If a slide is placed 123 mm from the lens, how far from the lens should the screen be placed for a sharp image?
Image distance: \( \_\_\_\_\_ \) mm away from lens.
#### c. Dimension Calculation
If the size of the slide is 36.0 mm (width) by 24.0 mm (height), what are the dimensions of the image?
Width: \( \_\_\_\_\_ \) mm; Height: \( \_\_\_\_\_ \) mm
---
The film should be positioned at the location of the image to record the image.
---
### Explanation of Graphs or Diagrams
There are no graphs or diagrams provided in the text. The table sets up a problem that must be solved using the provided information about the lens's focal length, object distance (distance to the slide), and the magnification formula.
### Relevant Equations
**Lens Formula:**
\[ \frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \]
Where:
- \( f \) = focal length of the lens
- \( d_o \) = distance to the object (slide)
- \( d_i \) = distance to the image (screen)
**Magnification Formula:**
\[ m = \frac{h_i}{h_o} = -\frac{d_i}{d_o} \]
Where:
- \( m \) = magnification
- \( h_i \) = height of the image
- \( h_o \) = height of the object (slide)
- The negative sign denotes that the real](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff6a53db3-c060-4093-8251-3e3936495142%2Fe3c60267-c83d-4e8b-a68c-b1a9dfe84987%2F3mz423h_processed.png&w=3840&q=75)
Transcribed Image Text:### Slide Projector and Lens Calculations
A certain slide projector has a 118-mm focal-length lens.
---
#### Hints
Follow the problem-solving strategy steps outlined in "Problem-Solving Strategy: Lenses" in Section 2.4 Thin Lenses. Two additional hints:
1. You are given the focal length and object distance—distance to slide—here; what equation relates these to the image distance?
2. Remember the linear magnification formula.
---
### Questions & Steps
#### a. Real or Virtual Image?
To project the image of a slide onto a screen, does this lens need to form a real image or a virtual image?
- Not enough information given
- Virtual image
- **Real image** (This option is selected)
#### b. Image Distance Calculation
If a slide is placed 123 mm from the lens, how far from the lens should the screen be placed for a sharp image?
Image distance: \( \_\_\_\_\_ \) mm away from lens.
#### c. Dimension Calculation
If the size of the slide is 36.0 mm (width) by 24.0 mm (height), what are the dimensions of the image?
Width: \( \_\_\_\_\_ \) mm; Height: \( \_\_\_\_\_ \) mm
---
The film should be positioned at the location of the image to record the image.
---
### Explanation of Graphs or Diagrams
There are no graphs or diagrams provided in the text. The table sets up a problem that must be solved using the provided information about the lens's focal length, object distance (distance to the slide), and the magnification formula.
### Relevant Equations
**Lens Formula:**
\[ \frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \]
Where:
- \( f \) = focal length of the lens
- \( d_o \) = distance to the object (slide)
- \( d_i \) = distance to the image (screen)
**Magnification Formula:**
\[ m = \frac{h_i}{h_o} = -\frac{d_i}{d_o} \]
Where:
- \( m \) = magnification
- \( h_i \) = height of the image
- \( h_o \) = height of the object (slide)
- The negative sign denotes that the real
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