An object is placed 100 cm in front of a diverging lens with a focal length of magnitude 25 cm.A converging lens having a focal length of magnitude 33.33 cm is placed 30 cm past the first lens.Where is the final image formed?
A) 30 cm after the second lens
B) 20 cm in front of the first lens
C) 3.0 meters before the second lens
D) 100 cm after the second lens
E) 3.0 cm before the second lens

Question

Quizplus · Accepted Answer

The final image is formed 100 cm after the second lens. This can be found using the thin lens equation:1/f = 1/do + 1/diwhere f is the focal length, do is the object distance, and di is the image distance.For the first lens, we have:1/25 = 1/100 + 1/di1Solving for di1, we get:di1 = -20 cmThis means that the first lens forms a virtual image 20 cm in front of the lens.For the second lens, we have:1/33.33 = 1/30 + 1/di2Solving for di2, we get:di2 = 100 cmThis means that the second lens forms a real image 100 cm after the lens.

An Object Is Placed 100 Cm in Front of a Diverging