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

Options

A. `1^(@)`
B. `20^(@)`
C. `1.5xx10^(-3)` radian
D. `1^(@)`

Answer

A

Explanation

Limit of resolution `d theta=(1.22lamda)/(D)`
`=(1.22xx500xx10^(-9))/(2xx10^(-3))=305xx10^(-6)` radian
`=305xx(180)/(3.14)xx60xx10^(-6)mm`
`therefore d theta underset(.)overset(.)(=)1'`
[1 radian `=(180)/(pi)=(180)/(3.14)xx60` minutes]