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

Question

The diameter of the pupil of human eye is about 2 mm. Human eye is most sensitive to the wavelength of 555 nm. The limit of resolution of human eye is (A)  1.2 min (B)  2.4 min (C)  0.6 min (D)  0.3 min

Tardigrade Admin · Accepted Answer

Limit of resolution, dθ = (1.22 λ/D) =( 1.22 × 555 × 10-9/2 × 10-3) = 3.39 × 10-4 rad dθ = 3.39 × 10-4 × ((180°/π)) = 0.0194° = 0.0194 × 60' = 1.2'

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

$1.2$ min

$2.4$ min

$0.6$ min

$0.3$ min

Limit of resolution,
$d θ = \frac{1.22 λ}{D}$
$= \frac{1.22 \times 555 \times 1 0 ^{- 9}}{2 \times 1 0 ^{- 3}}$
$= 3.39 \times 1 0^{- 4} r a d$
$d θ = 3.39 \times 1 0^{- 4} \times (\frac{18 0 ^{\circ}}{π})$
$= 0.019 4^{\circ}$
$= 0.0194 \times 6 0^{'}$
$= 1. 2^{'}$

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

1.2 min

2.4 min

0.6 min

0.3 min