Suppose an object has thickness dp so that it extends from object distance p to p + dp.

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Suppose an object has thickness dp so that it extends from object distance p to p + dp.

(a) Prove that the thickness dq of its image is given by (−q^{2}/p^{2})dp. (Do this on paper. Your instructor may ask you to turn in this work.)

(b) The longitudinal magnification of the object is M_{long} = dq/dp. How is the longitudinal magnification related to the lateral magnification M? (Use the following as necessary: M.) M_{long} =