Solveeit Logo

Question

Question: The diameter of the pupil of human eye id about 2 mm. Human eyes is most sensitive to the wavelength...

The diameter of the pupil of human eye id about 2 mm. Human eyes is most sensitive to the wavelength of 555 nm. the limit of resolution of human eye is :

A

1.2min

B

2.4 min

C

0.6 min

D

0.3 min

Answer

1.2min

Explanation

Solution

Limit of resolution,

dθ=1.22λD=1.22×555×1092×103=3.39×104radd\theta = \frac{1.22\lambda}{D} = \frac{1.22 \times 555 \times 10^{- 9}}{2 \times 10^{- 3}} = 3.39 \times 10^{- 4}rad

dθ=3.39×104×(180π)d\theta = 3.39 \times 10^{- 4} \times \left( \frac{180}{\pi} \right)

=0.0194º=0.0194×60min=1.2min= 0.0194º = 0.0194 \times 60\min = 1.2\min