A telescope of diameter `2m` uses light of wavelength `5000 Å` for viewing stars.The minimum angular separation between two stars whose is image just resolved by this telescope is

Options

A. `4xx10^(-4)rad`
B. `0.25 xx10^(-6)rad`
C. `0.31 xx10^(-6)rad`
D. `5.0xx10^(-3)rad`

Answer

C

Explanation

Minimum angular separation `Deltatheta=(1)/(R.P.)=(1.22lambda)/(d)`
`(1.22xx5000xx10^(-10))/(2)=0.3xx10^(-6)rad`