Homework 1

# Homework 1 - OPTI-202R Homework No 1 Michael Descour Spring...

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OPTI-202R Homework No. 1 Michael Descour Spring 2010 1 of 3 Assigned: 1/20/10 (Wed) Due: 1/27/10 (Wed) Use engineering paper and begin each new problem on a new page Note : Do all of problems in this set using Gaussian methods. 1-1) A 47 mm focal length thin lens in air is used to image a 250 x 250 mm object onto a 10 x 10 mm detector. What is the overall object-to-image distance? Do both the exact solution as well as by reasonable approximation. 10 points 1-2) You have a 103 mm focal length thin lens. For each given object position determine the image position and the image magnification. Note whether the object and image are real or virtual. z = -10000 mm -500 mm -200 mm -150 mm -110 mm -90 mm -50 mm -25 mm 50 mm 100 mm 200 mm 500 mm 10000 mm 15 points 1-3) For a thin lens in air, derive an expression for the overall object-to-image distance D (also known as throw ) as a function of the focal length and the magnification. a) Plot D vs. m for a positive thin lens. At what value of m is the distance D minimized?

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