Why Do Diverging Lenses Always Produce Shrunken Images?

In summary, the size and orientation of the image formed by converging devices is dependent on the location of the object, while for a diverging lens, the image will always be shrunken and inverted. The object appears smaller due to the deflection of rays and the angle at which the light hits the retina. This can be further understood by considering the geometry of the lens and how the rays are dispersed.
  • #1
BogMonkey
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I noticed that for converging devices the size and orientation of the image formed depends on whether the object is located inside or outside the focal point and center of curvature. I also read that no matter where the object is with respect to a diverging lense the image formed will always be shrunken and inverted. Why would the object be shrunken if the device disperses rays? Is it all a matter of the angle at which the light hits the retina?
 
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  • #2
BogMonkey said:
I noticed that for converging devices the size and orientation of the image formed depends on whether the object is located inside or outside the focal point and center of curvature. I also read that no matter where the object is with respect to a diverging lense the image formed will always be shrunken and inverted. Why would the object be shrunken if the device disperses rays? Is it all a matter of the angle at which the light hits the retina?

It's a matter of geometry.
The rays are deflected such that the image is always between the lens and the object, no matter where the object is.
See here
http://www.edumedia-sciences.com/en/a294-diverging-lens
 

What is a diverging lens?

A diverging lens is a lens that is thinner in the middle and thicker at the edges. It causes light rays to spread out or diverge, hence the name. It is also known as a concave lens.

What is a diverging mirror?

A diverging mirror is a mirror that curves outward, causing light rays to spread out or diverge. It is also known as a concave mirror.

How do diverging lenses and mirrors work?

Diverging lenses and mirrors work by causing light rays to diverge or spread out. This is due to the curvature of the lens or mirror, which causes the light rays to change direction. The image formed by a diverging lens or mirror is virtual and smaller than the object.

What are the uses of diverging lenses and mirrors?

Diverging lenses and mirrors have various uses in everyday life and in science. They are commonly used in eyeglasses to correct nearsightedness, in cameras to create a wider field of view, and in telescopes to create a larger magnification. They are also used in devices such as projectors, microscopes, and binoculars.

How do you calculate the image formed by a diverging lens or mirror?

The image formed by a diverging lens or mirror can be calculated using the thin lens and mirror equation. This equation takes into account the focal length of the lens or mirror and the distance between the object and the lens or mirror. The resulting image will be virtual, upright, and smaller than the object.

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