Consider a “system with two lenses in tandemâ€. Suppose that youhave an object that is located P1to the left of a lens with F1focal length. Then suppose that you have a second lens with F2focal length, and you place this lens D downstream of the firstlens. Let us say that the final image of the optical system formsQ2 past the second lens. The two lenses are one after another, orin tandem.
(a) Draw a picture of the optical system. Draw the picture toscale.
(b) Calculate the image distance (from first lens to theintermediate image) of the intermediate image, as measured from thefirst lens. Q1 in terms of P1, F1, and nothing else.
(c)Calculate the object distance (from intermediate image to thesecond lens) for the second lens. P2 in terms of D, P1, F1, andnothing else
(d) Calculate the final image distance (from second lens to thefinal image) for the second lens (Q2) , and show that thisexpression for Q2 satisfies the relation:
Q2 =F2(DP1-F1D-F1P1)/[(F1-P1)(F2-D)-F1P1] Equation 1
(e) Show also that the overall magnification of the system isM=(Q1Q2)/(P1P2)=F(F2-Q2)/[F2(F1-P1)] Equation 2
