# 1. Double lens systems. a. Two converging lenses with focal lengths of 20 cm and 20 cm are placed 10

1. Double lens systems.

a. Two converging lenses with focal lengths of 20 cm and 20 cm are placed 10 cm

apart. A 2 cm tall object is located 15 cm from the first lens as shown in the figure.

Where is the final image created by the system? What is its height and orientation

compared to the object?

b. An object is placed 15 cm from a converging lens with a focal length of 5 cm. A

second lens is placed 5 cm from the first lens. The system forms a virtual image 10

cm away from the second lens. Is the second lens converging or diverging? What is

its focal length?

c. You have a converging and a diverging lens. The diverging lens has a focal length fd

and the converging lens has a focal length fc.The incoming rays are parallel and pass first through the converging lens. Your goal is to space the lenses so that the rays emerging from the diverging lens are parallel.

i. How far apart should the lenses be?

ii. Can you have the same outcome if light first enters the diverging lens?
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