# Worksheet: Lens and Mirror Systems

In this worksheet, we will practice calculating the imaging properties of optical systems that contain both reflective and refractive components.

**Q1: **

A concave mirror with a radius of curvature 10 cm is placed 30 cm to the right of a thin, convex lens with a focal length of 15 cm. A small bulb is placed 50 cm to the left of the lens.

Find the distance to the left of the mirror of the image formed.

Find the magnification produced by the system.

**Q2: **

A lens of focal length 20 cm is placed 10 cm in front of a second identical lens. A concave mirror of focal length 15 cm is placed 50 cm behind the second lens. An object of height 3.0 cm is placed 25 cm in front of the first lens.

Find the distance in front of the mirror of the final image formed.

Find the size of the final image formed.

**Q5: **

An object of height 5.00 cm is placed at 29.0 cm in front of a converging lens of focal length 23.0 cm. Behind the lens, there is a concave mirror of focal length 23.0 cm. The distance between the lens and the mirror is 8.00 cm.

Find the location of the final image from the mirror.

Find the size of the final image.