Q. Two point white does are 1 mm apart on a black paper. They are viewed by eye of pupil diameter 3 mm. Approximately, what is the maximum distance at which these dots can be resolved by the eye? [Take wavelength of light = 500 nm]

A) 5 m
B) 1 m
C) 6 m
D) 3 m
Explanation

(a) We know,
$\frac{y}{D} \geq 1.22\frac{\lambda}{d}$
$\Longrightarrow D \leq \frac{yd}{1.22\lambda}$
$= \frac{10^{- 3} \times 3 \times 10^{- 3}}{1.22 \times 5 \times 10^{- 7}}$
$= \frac{30}{6.1} = 5\ m$
$\therefore\ \ D_{\max\ } = 5m$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.