A thin convex lens of focal length `25 cm` is cut into two pieces `0.5 cm` above the principal axis. The top part is placed at (0,0) and an object placed at `(-50 cm, 0)`. Find the coordinates of the image.

Explanation

If there was no. cut then the object would have been at a height of 0.5 cm from the principal axis OO'
Applying lens formula, we have
`" " (1)/(v)-(1)/(u)-(1)/(f)`
`:. " " (1)/(v)=(1)/(u)+(1)/(f)=(1)/(-50)+(1)/(25)=(1)/(50)`
` " " v=50 cm`
`:. " " ` Mangification is `m=(v)/(u)=-(50)/(50)=-1`
Thus, the image would have been formed at 50 cm from the pole and 0.5 cm below the principal axis. Hence , with respect to the X-axis passing through the edge of the cut lens. the coordinates of the are (50cm,-1)