Aperture of the human eye is 2 mm. Assuming the mean wavelength of light to be 5000 mathringA, the angular resolution limit of the eye is nearly

Question

Aperture of the human eye is 2 mm. Assuming the mean wavelength of light to be 5000 mathringA, the angular resolution limit of the eye is nearly (A) 2 minute (B) 1 minute (C) 0.5 minute (D) 1.5 minute

Tardigrade Admin · Accepted Answer

If the angular limit of resolution of human eye is R then R =(1.22 λ/ a )=(1.22 × 5 × 10-7/2 × 10-3) rad =(1.22 × 5 × 10-7/2 × 10-3) × (180/π) × 60 text minute =1 text minute

Q. Aperture of the human eye is $2 mm$ . Assuming the mean wavelength of light to be $5000 \overset{˚}{A}$ , the angular resolution limit of the eye is nearly

$2$ minute

$1$ minute

$0.5$ minute

$1.5$ minute

If the angular limit of resolution of human eye is $R$ then
$R = \frac{1.22 λ}{a} = \frac{1.22 \times 5 \times 1 0 ^{- 7}}{2 \times 1 0 ^{- 3}} r a d$
$= \frac{1.22 \times 5 \times 1 0 ^{- 7}}{2 \times 1 0 ^{- 3}} \times \frac{180}{π} \times 60 minute = 1 minute$

Q. Aperture of the human eye is 2mm. Assuming the mean wavelength of light to be 5000A˚, the angular resolution limit of the eye is nearly

2 minute

1 minute

0.5 minute

1.5 minute