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

Answer

C

Explanation

`Delta theta = (1.22 lambda)/(a)`
`:. Delta theta = (1.22 xx 5000 xx 10^(-10))/(2)`
`= 3050 xx 10^(-10) = 3.05 xx 10^(-7)rad`.
`~~ 0.31 xx 10^(-6)rad`.