Answer :

The coordinates of the image formed is.


Given:


The focal length of the convex lens is 25cm, the lens is cut into two pieces of height = 0.5 cm, the coordinate of lens placement is (0,0) and the coordinates of object placement is (-50 cm, 0)


Formula used:


The formula used to find the Coordinate of the image is Lens Formula, which describes the relation between the length of the object placed and image formed to the focal length of the lens, lens law will only give the X coordinates and for y coordinates, we use the magnification law which is the ratio between the size of the image and size of the object


Lens Law:



Magnification Law:



where


v is the length of the image formed, u is the size of the object placed on the principal axis, f is the focal length of the lens and M is the magnification.


Explanation:


Although, the lens is cut in half and placed above the axis by a height of 0.5 cm, it doesn’t change the focal length but it does effects its intensity or clarity of the image.



Using lens law;





Hence, the size of the image formed at


To find the coordinate of y, we find the magnification law;




Therefore, the coordinates of the image formed is .


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