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magnification problem based on ABCD matrix

Please see the attached file for complete question.

A light ray travels through a distance a, reflects from a curved mirror, and then travels through a distance b. The ABCD matrix has the form as given in the attachment.

Suppose that the initial ray is one of many which leaves a point on an object positioned at do = a before the mirror.
a) What condition is needed to form an image at distance di = b?
b) What is the magnification?

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Solution Preview

Please see the attachment for complete answer.

{Equation (I)}

As is well known, it is possible to form an image with a concave mirror. Suppose that the initial ray is one of many which leaves a point on an object positioned at do = a before the mirror. In order for an ...

Solution Summary

This solution applies the matrix to solve the magnification problem for the mirror.

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