Answer :

The length of the image is equal to.


Given:


The length of the object is = L, object distance is u and focal length = f. To find the length of the image we use the mirror equation. The Length of the object is


Formula Used:


The mirror formula or mirror equation specifies the relation between the object and image distance to the focal length of the object.



where


u is the object distance, v is the image distance and f is the focal length of the object put in the principal axis.


Explanation:


To find the length of the image that is v, we use



Now separating the size of v with respect to the size of the object and focal length




Due to smaller length of the object () let us differentiate the equation with respect to u and v.





Putting equation (2) in (1) we get



Since



Therefore, the length of the image is equal to


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