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# A Two Lens System

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A cell phone of length 10.0cm sits 50.0cm in front of a lens of focal length 30.0cm.
a. Without equations, use a diagram to determine whether the image of the cell phone is real or virtual, upright or inverted, and magnified or reduced. Estimate the magnification from your diagram.
b. Now calculate the magnification and check it against your part (a) answer.
c. A student holds his eye close to the lens and looks through it at the cell phone. Instead of a sharp image, he sees a blur. Why?
d. Now the student backs up until his eye is 80cm from the lens. He sees a clear image, but it looks much bigger than he expected, give the answer to part (b). Why?

##### Solution Summary

This solution of simple convex lens question, ray tracing and solution of lens equation to determine image type and magnification.

##### Solution Preview

Please see the attached solution for explanation and diagrams.

a) I have made a rough sketch of the Lens system as below

Construction draw 2 focal planes 30cm either side of the lens, Shown by black dotted lines

Draw object scaled 10cm in length on left hand side of lens

Draw horizontal reference plane going through centre O of the lenses, bold black line

Draw horizontal ray line originating from top of object and parallel with reference line. This is the blue ray trace

Draw ray line from top of object through left ...

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