Geometric Optics

Diverging Lenses

Solutions

Q1: Using the thin lens formulas, show that when M = + 1 / 2 for a diverging lens; d i = - d o / 2; and f = - d o . Attach your proof to the sheet, together with a rough ray sketch of this situation (show focal, parallel and chief rays). 

Q2: Determine do for four separate eyeglass lenses. Use the relationship Power (in diopters) = 1 / f (in meters) to determine the eyeglass prescription in diopters. 
As an example: if d o = 33 cm; P = -3.3D. Write the focal length and diopter equivalence for your four lenses on the sheet. 

Q3: What would be the focal length of a -1.75D and a -1.25D lens?

Q4: How would a +1.75D lens differ from a -1.75D lens?

Q5: How would an optometrist characterize the vision of a person with these prescriptions?


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