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  4. 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

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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

Wave Optics

Solution:

Limit of resolution,
$d\theta = \frac{1.22 \lambda}{D} $
$=\frac{ 1.22 \times 555 \times 10^{-9}}{2 \times 10^{-3}} $
$= 3.39 \times 10^{-4} rad $
$d\theta = 3.39 \times 10^{-4} \times \left(\frac{180^{\circ}}{\pi}\right)$
$= 0.0194^{\circ} $
$= 0.0194 \times 60'$
$ = 1.2' $