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.

Options

A. `(50cm, -2 cm)`
B. `(50 cm, -1 cm)`
C. `(3 cm, -50 cm)`
D. `(60 cm, -25 cm)`

Answer

B

Explanation

If there was no cut then the object would have been at a height of `0.5 cm` from the principle axis `OO'`.
Consider the image for this case.
` 1/v = 1/u + 1/f = (1)/(-50)+(1)/(25) = 1/50 rArr v = 50 cm`
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 x-axis passing through the edge of the cut lens. the co-ordinates of the image are `(50 cm, -1 cm)`