Spherical Lenses

For the given setup, the image formed by the convex lens will be real and inverted since the object is placed at a distance of

2f

. According to the lens formula:

%5Cfrac%7B1%7D%7Bf%7D%20%3D%20%5Cfrac%7B1%7D%7Bv%7D%20-%20%5Cfrac%7B1%7D%7Bu%7D

where

u%20%3D%20-2f

and

v

is the image distance. Solving for

v

, we get:

%5Cfrac%7B1%7D%7Bf%7D%20%3D%20%5Cfrac%7B1%7D%7Bv%7D%20%2B%20%5Cfrac%7B1%7D%7B2f%7D

Thus:

%5Cfrac%7B1%7D%7Bv%7D%20%3D%20%5Cfrac%7B1%7D%7Bf%7D%20-%20%5Cfrac%7B1%7D%7B2f%7D%20%3D%20%5Cfrac%7B1%7D%7B2f%7D

So,

v%20%3D%202f

. The image is formed at a distance of

2f

to the right of the lens. The maximum height

h

at which the eye can still see the image corresponds to the maximum angular deviation, which is at

%5Cfrac%7Bd%7D%7B4%7D

below the optic axis. Thus, the correct answer is (D).

Chapter Questions
2 MCQs