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.

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#### 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.

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### 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

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The film should be positioned at the location of the image to record the image.

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### 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
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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