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

Options

A. `5 m`
B. `1 m`
C. `6 m`
D. `3 m`

Answer

A

Explanation

(a) We know `(y)/(D) ge 1.22 (lambda)/(d)`
`implies D le (y D)/(1.22 lambda) = (10^(-3) xx 3 xx 10^(-3))/(1.22 xx 5 xx 10^(-7))`
`= (30)/(6.1) = 5 m :. D_(max) = 5 m`