An amoeba is 0.303 cm away from the 0.298 cm focal length objective lens of a microscope. (See the image. Due to the nature of this problem, do not use rounded intermediate values in your calculations)

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An amoeba is 0.303 cm away from the 0.298 cm focal length objective lens of a microscope. (See the image. Due to the nature of this problem, do not use rounded intermediate values in your calculations)

(c)
An eyepiece with a 2.00 cm focal length is placed 19.5 cm from the objective. Where is the final image? (Enter the image distance in cm.)
  cm
(d)
What angular magnification is produced by the eyepiece?
M =  
(e)
What is the overall magnification?
M =  
**Diagram of a Compound Microscope**

This diagram illustrates the working of a compound microscope and the image formation process through its optical components.

1. **Object**: Represented by the arrow labeled "Object" with height \( h \).
   
2. **Objective Lens**: The first lens in the system, placed at a distance \( d_o \) from the object. This lens creates the first image, denoted as the "First image" with height \( h_i \).

3. **Focal Points of the Objective Lens**: The focal points \( F_o \) are marked before and after the objective lens.

4. **Intermediate Image**: Formed by the objective lens, it is inverted and located at a distance \( d_i \) from the lens.

5. **Eyepiece**: The second lens system in the microscope. It enlarges the intermediate image, creating a virtual "Final image."

6. **Focal Points of the Eyepiece**: Denoted as \( F_e \), focal points are located before and after the eyepiece.

7. **Final Image**: The virtual image is ultimately perceived by the viewer through the eyepiece. The image is shown with a height \( h_i' \) and appears enlarged and inverted relative to the initial object. It is formed at a distance \( d_i' \) from the lens system.

8. **Optical Pathways**: Light rays are traced from the object through the lenses, illustrating how they converge to form images. Solid lines represent actual light rays, while dashed lines indicate extensions leading to virtual images.

This diagram effectively demonstrates the principles of magnification and image inversion in a standard compound microscope, providing a visualization of optical physics principles in action.
Transcribed Image Text:**Diagram of a Compound Microscope** This diagram illustrates the working of a compound microscope and the image formation process through its optical components. 1. **Object**: Represented by the arrow labeled "Object" with height \( h \). 2. **Objective Lens**: The first lens in the system, placed at a distance \( d_o \) from the object. This lens creates the first image, denoted as the "First image" with height \( h_i \). 3. **Focal Points of the Objective Lens**: The focal points \( F_o \) are marked before and after the objective lens. 4. **Intermediate Image**: Formed by the objective lens, it is inverted and located at a distance \( d_i \) from the lens. 5. **Eyepiece**: The second lens system in the microscope. It enlarges the intermediate image, creating a virtual "Final image." 6. **Focal Points of the Eyepiece**: Denoted as \( F_e \), focal points are located before and after the eyepiece. 7. **Final Image**: The virtual image is ultimately perceived by the viewer through the eyepiece. The image is shown with a height \( h_i' \) and appears enlarged and inverted relative to the initial object. It is formed at a distance \( d_i' \) from the lens system. 8. **Optical Pathways**: Light rays are traced from the object through the lenses, illustrating how they converge to form images. Solid lines represent actual light rays, while dashed lines indicate extensions leading to virtual images. This diagram effectively demonstrates the principles of magnification and image inversion in a standard compound microscope, providing a visualization of optical physics principles in action.
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