Does the Thin Lens Formula Apply to Pinhole Cameras?

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SUMMARY

The Thin Lens Formula does not apply to pinhole cameras, as they operate on different principles. The relevant formula for determining the height of an image in a pinhole camera is given by the ratio: (height of image) / (height of object) = (- distance of image) / (distance of object). In this context, the distances from the pinhole to the object and from the pinhole to the image are equal (Di = Do), allowing for the calculation of image height based on object height and distances. A diagram illustrating light rays from the object to the image surface is essential for visualizing this relationship.

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  • Familiarity with the concept of similar triangles
  • Knowledge of the geometry involved in light projection
  • Ability to draw and interpret diagrams of optical systems
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  • Learn about the geometry of light rays in optical systems
  • Explore the differences between pinhole cameras and lens-based cameras
  • Study the derivation of image height formulas in various optical setups
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Students in physics courses, particularly those studying optics, as well as educators looking for clear explanations of image formation in pinhole cameras.

cybernerd
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Homework Statement


It's not a specific problem, persay...

I'm working on a science lab and I'm supposed to be deriving the height of an image created by a pinhole camera. Since I'm in a condensed Physics course, we are expected to figure out formulas on our own. I keep finding this formula:

(height of image) / (height of object) = ( - distance of image) / (distance of object)

And since Di = Do, it should work.

The problem is, that formula is associated with curved mirror questions...a pinhole camera is something else. Will that formula work? It's the only one I can find to determine the height of image from distance of object and height of object.

I really need help with this, I'm completely stuck and I have no idea what's right and what isn't.


Homework Equations





The Attempt at a Solution

 
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cybernerd said:

Homework Statement


It's not a specific problem, persay...

I'm working on a science lab and I'm supposed to be deriving the height of an image created by a pinhole camera. Since I'm in a condensed Physics course, we are expected to figure out formulas on our own. I keep finding this formula:

(height of image) / (height of object) = ( - distance of image) / (distance of object)

And since Di = Do, it should work.

The problem is, that formula is associated with curved mirror questions...a pinhole camera is something else. Will that formula work? It's the only one I can find to determine the height of image from distance of object and height of object.

I really need help with this, I'm completely stuck and I have no idea what's right and what isn't.

Draw a diagram. Include the light ray from the top and bottom and how it projects onto the surface. Geometry should tell you what the relationship is between the height of the object, the distance from the pinhole, the distance to the surface and the height of your image there.
 

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