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. `4 xx 10^(-4) ` rad
B. `0.25 xx 10^(-6)` rad
C. `0.31 xx 10^(-6)` rad
D. `5 xx 10^(-3)` rad

Answer

C

Explanation

`Delta theta = (1.22 lambda)/(a) = (1.22 xx 5 xx 10^(-7))/(2)`
`= 0.31 xx 10^(-6) rad`