The pupil of a cat's eye narrows to a vertical slit of width 0.450 mm in...
The pupil of a cat's eye narrows to a vertical slit of width
0.450 mm in daylight. Assume the average wavelength of the light is
615 nm. What is the angular resolution for horizontally separated
mice? (In this problem, you may use the Rayleigh criterion for the
limiting angle of resolution of an eye.)
rad
Homework Answers
For a narrow slit, Rayleigh's criterion gives
?m = ? / a = 615 x 10-9 m /.4500 x 10-3 = 1.366 x 10-3 = 1.366 m rad
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The pupil of a cat's eye narrows to a vertical slit of width 0.450 mm in daylight. What is the angular resolution for horizontally separated mice? Assume that the average wavelength of the light is 400 nm.
Answer
Given that
width of the slit D = 0.450*10^-3m
wavelength of the light ? =500*10-9m
The angular resolution for a pair of horizontal separatedmice
is
?min = 1.22 (?/D)
substiute the values.
= 1.22*500*10^-9/ 0.450*10^-3 = 1355.5555 micrometer
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