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18_Ch 25 College Physics ProblemCH25 Optical Instruments

# 18_Ch 25 College Physics ProblemCH25 Optical Instruments -...

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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 θ µ = = In oil, the limiting angle of resolution will be ( ) min 1 1.22 1.22 1.22 oil oil oil oil n D D D λ λ λ θ = = = n or min min 0.60 rad 0.40 rad 1.5 air oil oil n θ µ θ µ = = = 25.36 (a) The wavelength of the light within the eye is n n λ λ = . 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 D nD λ λ × = = = = × × min 1.22 θ (b) From s r θ = 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 θ = = r 25.37 The minimum angle of resolution when light of 500 nm wavelength passes through a 20-
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