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images formed by lenses can be predicted through mathematical expression and ray diagramming. in here we are going to focus on the mathematical equation concerning lenses as it will give us the quantitative explanation of the images formed by lenses.
to identify the image distance, object distance and the focal length, we can use the lens equation. the lens equation shows us the relationship between the image distance, object distance and the focal length. it is expressed as:
do= distance of the object
di = distance of the image
sign conventions for given values in the lens equation:
*if f is positive (+) the lens is convex.
* if f negative the lens it is concave.
* if the di is positive (+) the image is real and it is located on the opposite side of the lens.
* if the di is negative the image is virtual and it is located at the same side as the object.
to identify the size of the object and image, we must find its height. to find its height, we use the magnification equation which is expressed as:
m = magnification
hi= image height
ho= object height
sign conventions for given values in the magnification equation:
* if the hi is positive the image is upright
*if the hi is negative he image is inverted
other questions related to this are as follows:
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