18_Chapter 25 HomeworkCH25 Optical Instruments

18_Chapter 25 HomeworkCH25 Optical Instruments - 354...

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354 CHAPTER 25 25.35 The limit of resolution in air is min 1.22 0.60 rad air D λ θµ == In oil, the limiting angle of resolution will be ( ) min 1 1.22 1.22 1.22 oil oil oil oil n DD D θ  =   n or min min 0.60 rad 0.40 rad 1.5 air oil oil n µ = 25.36 (a) The wavelength of the light within the eye is n n = . Thus, the limiting angle of resolution for light passing through the pupil (a circular aperture with diameter ), is 2.00 mm D = ( ) () 9 4 3 500 10 m 1.22 1.22 2.29 10 rad 1.33 2.00 10 m n Dn D × == = = × × min 1.22 (b) From sr = 00 cm , the distance from the eye that two points separated by a distance will intercept this minimum angle of resolution is 1. s = 3 -4 1.00 cm 4.36 10 cm 43.6 m 2.29 10 rad = × min s r 25.37 The minimum angle of resolution when light of 500 nm wavelength passes through a 20- inch diameter circular aperture is
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This document was uploaded on 10/20/2011.

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