I have for years been interested in the relationship between image and object. A direct link exists between person and object. Perhaps the object's utilitarian and. Perhaps you noticed that there is a definite relationship between the image characteristics and the location where an object placed in front of a double convex. General Relation between Object and Inverted Image Space in Plane-Mirror Optics. Gottfried R. Rosendahl J. Opt. Soc. Am. 50(9) (). Closed- form.
We already figured out that this triangle over here is similar to this triangle down here. And we figured out in the last video that this triangle over here is similar to this triangle over here.
And since these two are similar, we could say that A is to B-- we did this over here. A is to B as-- and both of those are the sides opposite the right angles of these two similar triangles. So that's going to be the same thing as the ratio of the sides opposite this yellow angle right over here. So in this triangle over here, since we started with A first, it's this height right over here.
Now what is this height right over here?
This is the height of the object. So this is the height of the object is to-- Now what is this opposite side of this yellow angle right over here? Well, this is the height of the image. The object is located at 2F When the object is located at the 2F point, the image will also be located at the 2F point on the other side of the lens.
In this case, the image will be inverted i. The image dimensions are equal to the object dimensions. A six-foot tall person would have an image that is six feet tall; the absolute value of the magnification is exactly 1.
Converging Lenses - Object-Image Relations
As such, the image of the object could be projected upon a sheet of paper. The object is located between 2F and F When the object is located in front of the 2F point, the image will be located beyond the 2F point on the other side of the lens. Regardless of exactly where the object is located between 2F and F, the image will be located in the specified region. The image dimensions are larger than the object dimensions.
A six-foot tall person would have an image that is larger than six feet tall.
Object image height and distance relationship (video) | Khan Academy
The absolute value of the magnification is greater than 1. The object is located at F When the object is located at the focal point, no image is formed. As discussed earlier in Lesson 5the refracted rays neither converge nor diverge. After refracting, the light rays are traveling parallel to each other and cannot produce an image.
The object is located in front of F When the object is located at a location in front of the focal point, the image will always be located somewhere on the same side of the lens as the object.
Regardless of exactly where in front of F the object is located, the image will always be located on the object's side of the lens and somewhere further from the lens.
The image is located behind the object. In this case, the image will be an upright image.
That is to say, if the object is right side up, then the image will also be right side up. In this case, the image is enlarged; in other words, the image dimensions are greater than the object dimensions.
The magnification is greater than 1. Finally, the image is a virtual image. Light rays diverge upon refraction; for this reason, the image location can only be found by extending the refracted rays backwards on the object's side the lens. The point of their intersection is the virtual image location. It would appear to any observer as though light from the object were diverging from this location. Any attempt to project such an image upon a sheet of paper would fail since light does not actually pass through the image location.
It might be noted from the above descriptions that there is a relationship between the object distance and object size and the image distance and image size.
Starting from a large value, as the object distance decreases i.