Distance between two stars, d = 1010 m
Distance of stars from objective,
D = 104 light years
= 104 x 1016 m (∵ 1 light year ≃ 1016 m)
Objective diameter (aperture),
a = 60 cm = 0.60 m
Wavelength of light used,
λ = 5500 x 10-8 m
Angle subtended by the stars on the telescope; objective.
\(\frac{d}{D} = \frac{10^{10}}{10^{20}}\) = 10-10 radians
Limit of angular resolution of telescope objective,
dθ = \(\frac{1.22 \lambda}{a}\)
= \(\frac{1.22 \times 5500 \times 10^{-8}}{0.60}\)
= 1.118 x 10-6 radians