Two-point white dots are 2 ~mm apart on a black paper. They are viewed by eye of pupil diameter 3 ~mm . What is the maximum distance at which these dots can be resolved by the eye? ( =500 ~nm )

Step-by-step solution

Distance between two point white dots, x=2 ~mm =2 10⁻³ ~m Diameter of pupil, d=3 ~mm =3 10⁻³ ~m and =500 ~mm =5 10⁻⁷ ~m If D be the maximum distance at which these two point dots can be resolve, then aligned x D & = 1.22 d D & = x d 1.22 = 2 10⁻³ 3 10⁻³ 1.22 5 10⁻⁷ D & =9.8 10 ~m aligned