Answer :
The angular resolution for horizontally separated mice is 1.00×10−3 rad
The Rayleigh criterion for the diffraction limit to resolution states “that two images are just resolvable when the center of the diffraction pattern of one is directly over the first minimum of the diffraction pattern of the other”. This criterion is based on the fact that Light diffracts as it moves through space, bending around obstacles, interfering constructively and destructively.
We assume Rayleigh's criterion applies to the cat's eye with pupil narrowed. For a single slit (not a round aperture), for small angles
θ ≈ sin θ =λ/a
= 500×10−9m / 0.500 × 10−3m
=1.00×10−3 rad
Hence, the angular resolution for horizontally separated mice is 1.00×10−3 rad
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