Question 172: Wave Optics

Question

Two point white dots 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 $$=500$$ $$nm$$ ]

Accepted Answer

$${y \over D} \ge 1.22{\lambda  \over d}$$
$$ \Rightarrow D \le {{yd} \over {\left( {1.22} ight)\lambda }}$$
$$ = {{{{10}^{ - 3}} 	imes 3 	imes {{10}^{ - 3}}} \over {\left( {1.22} ight) 	imes 5 	imes {{10}^{ - 7}}}}$$
$$ = {{30} \over {61}} \approx 5m$$
$$	herefore$$ $${D_{\max }} = 5m$$

Answer

$$1m$$

Answer

$$5m$$

Answer

$$3m$$

Answer

$$6m$$

Wave Optics

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

Choose the correct answer: