- #1

- 6

- 0

The magnification equation for mirrors describes such a relation: M=-distance of image/distance of object = height of image/height of object. (M=(-i/o)=h'/h).

I understand how this formula can be proved using a ray diagram for concave mirrors simply by proving similar triangles between the image distance and the object distance. However, it didn't quite work out for the convex mirrors as I worked for a few days trying to identify a similar triangle using the two. All I can get from the diagram is that h'/h= distance from object to the centre of mirror/distance from image to the centre of mirror. Interestingly this gives the same result as i compute h'/h, indicating that this is the correct magnification equation.

I would like to ask the physics experts here to kindly give me some suggestions on how to mathematically solve this derivation here; greatly appreciated, thanks!