# Magnification of the lens combination, Reflection in sunglasses

5. An object is placed 30 cm to the left of a converging lens of focal length 15 cm, and a diverging lens of focal length 20 cm is placed 45 cm to the right of the first lens. How far from the original object is the final image? What is the magnification of the lens combination?

6. While talking to someone who is wearing sunglasses you see yourself reflected in their lenses. Your face is 10.0 cm away from the glasses, which are diverging and have a radius of curvature of 1.00 m. Locate and describe the image.

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#### Solution Preview

Ray diagram is given above. Various positions marked are as follows:

P1 - Pole of the first lens

P2 - Pole of the second lens

F1 - Focal point of the first lens

F2 - Focal point of the second lens

O1 - Position of the object

I1 - Position of the image formed by the first lens (which is the object for the second lens)

I2 - Position of the image formed by the second lens

Sign convention: i) All distances are measured from the pole of the lens, ii) Distances measured in the direction of the incident ray are positive ...

#### Solution Summary

The expert examines magnification of the lens combinations and the reflection in sunglasses are determined.