MIT2_71S09_uquiz1_sol

# MIT2_71S09_uquiz1_sol - 2.71 Optics Quiz 1 Solutions Spring...

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Unformatted text preview: 2.71 Optics Quiz 1 Solutions Spring ‘09 1. (a) Solution: Without correction, the focus is before the retina, leading to blurred vision: With correction, the image forms (focused) on the retina: 1 + 1 = 1 1 = 1 1 = 50 − 45 = 5 − f c + 15 50 45 ⇒ − f c + 15 45 − 50 50 × 45 50 × 45 50 × 45 − f c + 15 = 5 = 450 ⇒ f c = − 435 ( P c ≈ − 2 . 3 D ) (b) Solution: Draw again the ray-tracing diagram for the object at ∞ : x x x α 1 = = − f c = − − 435 435 Draw the imaging system formed by EL above, with object = the virtual image found by CL. 1 450 Angular magnification M A = − = − 9 50 9 x x ⇒ α 2 = − 9 · α 1 = − 435 = − 48 1 3 From ICA (see diagram on previous page), x = tan α 2 = α 2 (paraxial approximation) EFL x 1 = EFL = 48 48 1 ⇒ 3 3 (c) 1st method: Using the 2nd PP and EFL 1 3 x i = α (EFL) = 48 α · 2nd method: Using the imaging condition 2 x = αf c = − 435 α The lateral magnification of EL’s imaging system (with the virtual image...
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## This note was uploaded on 02/24/2012 for the course MECHANICAL 2.710 taught by Professor Sebaekoh during the Spring '09 term at MIT.

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MIT2_71S09_uquiz1_sol - 2.71 Optics Quiz 1 Solutions Spring...

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